Hu, Beibei; Shen, Zuyi; Zhang, Ling; Fang, Fang Riemann-Hilbert approach to the focusing and defocusing nonlocal derivative nonlinear Schrödinger equation with step-like initial data. (English) Zbl 1528.35159 Appl. Math. Lett. 148, Article ID 108885, 8 p. (2024). MSC: 35Q55 35Q15 37K10 37K15 37K35 35B40 35C08 PDFBibTeX XMLCite \textit{B. Hu} et al., Appl. Math. Lett. 148, Article ID 108885, 8 p. (2024; Zbl 1528.35159) Full Text: DOI
Xin, Xiangpeng; Jin, Meng; Yang, Jiajia; Xia, Yarong Nonlocal symmetries and solutions of the \((2+1)\) dimension integrable Burgers equation. (English) Zbl 1528.35153 Appl. Math. Lett. 148, Article ID 108867, 8 p. (2024). MSC: 35Q53 37K10 37K35 35C08 22E70 PDFBibTeX XMLCite \textit{X. Xin} et al., Appl. Math. Lett. 148, Article ID 108867, 8 p. (2024; Zbl 1528.35153) Full Text: DOI
Singh, Shailendra; Saha Ray, S. Bilinear representation, bilinear Bäcklund transformation, Lax pair and analytical solutions for the fourth-order potential Ito equation describing water waves via Bell polynomials. (English) Zbl 1526.35105 J. Math. Anal. Appl. 530, No. 2, Article ID 127695, 15 p. (2024). MSC: 35C05 35A22 37K10 PDFBibTeX XMLCite \textit{S. Singh} and \textit{S. Saha Ray}, J. Math. Anal. Appl. 530, No. 2, Article ID 127695, 15 p. (2024; Zbl 1526.35105) Full Text: DOI
Anco, S. C.; Gandarias, M. L. Nonlinearly dispersive KP equations with new compacton solutions. (English) Zbl 1528.35145 Nonlinear Anal., Real World Appl. 75, Article ID 103964, 24 p. (2024). MSC: 35Q53 35D35 35C07 35C08 34C15 PDFBibTeX XMLCite \textit{S. C. Anco} and \textit{M. L. Gandarias}, Nonlinear Anal., Real World Appl. 75, Article ID 103964, 24 p. (2024; Zbl 1528.35145) Full Text: DOI arXiv
Wang, Dong; Gao, Yi-Tian; Yu, Xin; Deng, Gao-Fu; Liu, Fei-Yan Painlevé analysis, Bäcklund transformation, Lax pair, periodic- and travelling-wave solutions for a generalized \((2+1)\)-dimensional Hirota-Satsuma-Ito equation in fluid mechanics. (English) Zbl 1526.35111 Qual. Theory Dyn. Syst. 23, No. 1, Paper No. 12, 16 p. (2024). MSC: 35C07 35A22 35Q35 37K10 PDFBibTeX XMLCite \textit{D. Wang} et al., Qual. Theory Dyn. Syst. 23, No. 1, Paper No. 12, 16 p. (2024; Zbl 1526.35111) Full Text: DOI
Karlsen, K. H.; Rybalko, Ya. On the well-posedness of a nonlocal (two-place) FORQ equation via a two-component peakon system. (English) Zbl 1522.35442 J. Math. Anal. Appl. 529, No. 1, Article ID 127601, 33 p. (2024). MSC: 35Q53 35Q51 35C08 35A01 35A02 37K10 PDFBibTeX XMLCite \textit{K. H. Karlsen} and \textit{Ya. Rybalko}, J. Math. Anal. Appl. 529, No. 1, Article ID 127601, 33 p. (2024; Zbl 1522.35442) Full Text: DOI arXiv
Yu, Xiaomei; Zhang, Ling; Hu, Beibei; Hu, Ye A multiple-relaxation-time lattice Boltzmann model for Burgers equation. (English) Zbl 1528.65091 Math. Methods Appl. Sci. 46, No. 12, 13342-13351 (2023). MSC: 65M70 65M06 35Q51 37K10 PDFBibTeX XMLCite \textit{X. Yu} et al., Math. Methods Appl. Sci. 46, No. 12, 13342--13351 (2023; Zbl 1528.65091) Full Text: DOI
Affolter, Niklas Christoph; de Tilière, Béatrice; Melotti, Paul The Schwarzian octahedron recurrence (dSKP equation). I: Explicit solutions. (English) Zbl 1527.05012 Comb. Theory 3, No. 2, Paper No. 15, 58 p. (2023). MSC: 05A15 37K10 37K60 82B20 82B23 PDFBibTeX XMLCite \textit{N. C. Affolter} et al., Comb. Theory 3, No. 2, Paper No. 15, 58 p. (2023; Zbl 1527.05012) Full Text: DOI arXiv
Zhang, Xiao-Fan; Tian, Shou-Fu; Yang, Jin-Jie; Li, Zhi-Qiang Riemann-Hilbert problem for the focusing Hirota equation with counterpropagating flows. (English) Zbl 1527.35196 Commun. Math. Sci. 21, No. 6, 1625-1654 (2023). MSC: 35Q15 35Q51 35C08 35B40 35B32 37K15 37K10 35R30 PDFBibTeX XMLCite \textit{X.-F. Zhang} et al., Commun. Math. Sci. 21, No. 6, 1625--1654 (2023; Zbl 1527.35196) Full Text: DOI
Matsuno, Yoshimasa Multiphase solutions and their reductions for a nonlocal nonlinear Schrödinger equation with focusing nonlinearity. (English) Zbl 1527.35389 Stud. Appl. Math. 151, No. 3, 883-922 (2023). MSC: 35Q55 35Q41 35C08 35P15 37K10 37K35 34A34 PDFBibTeX XMLCite \textit{Y. Matsuno}, Stud. Appl. Math. 151, No. 3, 883--922 (2023; Zbl 1527.35389) Full Text: DOI arXiv
Yang, Jin-Jie; Tian, Shou-Fu; Li, Zhi-Qiang Inverse scattering problem for the matrix modified Korteweg-de Vries equation with finite density type initial data. (English) Zbl 1527.35362 Physica D 455, Article ID 133911, 28 p. (2023). MSC: 35Q53 35Q15 37K10 37K15 37K35 35C08 35B40 35P25 35A24 PDFBibTeX XMLCite \textit{J.-J. Yang} et al., Physica D 455, Article ID 133911, 28 p. (2023; Zbl 1527.35362) Full Text: DOI
Yan, Kexin; Wang, Hao; Fu, Ying Ill-posedness of the Cauchy problem for the \(\mu\)-Camassa-Holm-type equations. (English) Zbl 1526.35305 J. Evol. Equ. 23, No. 4, Paper No. 64, 20 p. (2023). MSC: 35R25 37K10 PDFBibTeX XMLCite \textit{K. Yan} et al., J. Evol. Equ. 23, No. 4, Paper No. 64, 20 p. (2023; Zbl 1526.35305) Full Text: DOI
Zhang, Xueqing; Ren, Bo Resonance soliton, breather and interaction solutions of the modified Kadomtsev-Petviashvili-II equation. (English) Zbl 1523.35119 J. Nonlinear Math. Phys. 30, No. 3, 1272-1281 (2023). MSC: 35C08 35Q51 37K10 37K40 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{B. Ren}, J. Nonlinear Math. Phys. 30, No. 3, 1272--1281 (2023; Zbl 1523.35119) Full Text: DOI OA License
Pan, Xiaolin; Zhou, Shouming; Qiao, Zhijun A generalized two-component Camassa-Holm system with complex nonlinear terms and Waltzing peakons. (English) Zbl 1523.35256 J. Nonlinear Math. Phys. 30, No. 3, 1153-1189 (2023). MSC: 35Q51 37K10 35Q35 35C08 PDFBibTeX XMLCite \textit{X. Pan} et al., J. Nonlinear Math. Phys. 30, No. 3, 1153--1189 (2023; Zbl 1523.35256) Full Text: DOI OA License
Niu, Zhenjie; Li, Biao \( \bar{\partial } \)-dressing method for a generalized \((2 + 1)\)-dimensional nonlinear wave equation. (English) Zbl 1523.37076 J. Nonlinear Math. Phys. 30, No. 3, 1123-1133 (2023). MSC: 37K15 37K20 37K10 35C08 35L05 32W05 PDFBibTeX XMLCite \textit{Z. Niu} and \textit{B. Li}, J. Nonlinear Math. Phys. 30, No. 3, 1123--1133 (2023; Zbl 1523.37076) Full Text: DOI OA License
Feng, Lian-li; Zhu, Zuo-nong Darboux transformation and soliton solutions for a nonlocal two-component complex modified Korteweg-de Vries equation. (English) Zbl 1523.37078 J. Nonlinear Math. Phys. 30, No. 3, 1011-1031 (2023). MSC: 37K35 35Q53 35C08 37K10 PDFBibTeX XMLCite \textit{L.-l. Feng} and \textit{Z.-n. Zhu}, J. Nonlinear Math. Phys. 30, No. 3, 1011--1031 (2023; Zbl 1523.37078) Full Text: DOI OA License
Shen, Shou-Feng; Wang, Guo-Fang; Jin, Yong-Yang; Hu, Xiao-Rui Wadati-Konno-Ichikawa-type integrable systems and their constructions. (English) Zbl 1523.37074 J. Nonlinear Math. Phys. 30, No. 3, 813-833 (2023). MSC: 37K10 35Q53 78A60 35Q51 PDFBibTeX XMLCite \textit{S.-F. Shen} et al., J. Nonlinear Math. Phys. 30, No. 3, 813--833 (2023; Zbl 1523.37074) Full Text: DOI arXiv OA License
Chen, Sijia; Lü, Xing; Yin, Yuhang Abundant resonant behaviors of soliton solutions to the \((3+1)\)-dimensional BKP-Boussinesq equation. (English) Zbl 1526.35113 Front. Math. (Beijing) 18, No. 3, 717-729 (2023). MSC: 35C08 35Q35 37K10 PDFBibTeX XMLCite \textit{S. Chen} et al., Front. Math. (Beijing) 18, No. 3, 717--729 (2023; Zbl 1526.35113) Full Text: DOI
Li, Zhi-Qiang; Tian, Shou-Fu; Yang, Jin-Jie On the asymptotic stability of \(N\)-soliton solution for the short pulse equation with weighted Sobolev initial data. (English) Zbl 1527.35194 J. Differ. Equations 377, 121-187 (2023). MSC: 35Q15 35Q51 35Q55 35Q41 35Q35 35C20 35C08 35B40 35B35 35A01 35A02 37K10 41A60 78A60 PDFBibTeX XMLCite \textit{Z.-Q. Li} et al., J. Differ. Equations 377, 121--187 (2023; Zbl 1527.35194) Full Text: DOI
Gassot, Louise Lax eigenvalues in the zero-dispersion limit for the Benjamin-Ono equation on the torus. (English) Zbl 1527.35352 SIAM J. Math. Anal. 55, No. 5, 5782-5822 (2023). MSC: 35Q53 37K15 37K10 37K35 35B40 42B10 PDFBibTeX XMLCite \textit{L. Gassot}, SIAM J. Math. Anal. 55, No. 5, 5782--5822 (2023; Zbl 1527.35352) Full Text: DOI arXiv
Wegner, Robert Global-in-time well-posedness of the one-dimensional hydrodynamic Gross-Pitaevskii equations without vacuum. (English) Zbl 1527.35395 Z. Angew. Math. Phys. 74, No. 5, Paper No. 194, 29 p. (2023). MSC: 35Q55 35Q31 35Q53 35A01 35A02 35C08 37K10 76N10 42B25 35R10 PDFBibTeX XMLCite \textit{R. Wegner}, Z. Angew. Math. Phys. 74, No. 5, Paper No. 194, 29 p. (2023; Zbl 1527.35395) Full Text: DOI arXiv OA License
Planchon, Fabrice; Tzvetkov, Nikolay; Visciglia, Nicola Modified energies for the periodic generalized KdV equation and applications. (English) Zbl 1527.35360 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 40, No. 4, 863-917 (2023). MSC: 35Q53 35B65 35B45 35A01 35A02 37K10 35R60 PDFBibTeX XMLCite \textit{F. Planchon} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 40, No. 4, 863--917 (2023; Zbl 1527.35360) Full Text: DOI arXiv
Congy, T.; El, G. A.; Roberti, G.; Tovbis, A. Dispersive hydrodynamics of soliton condensates for the Korteweg-de Vries equation. (English) Zbl 1527.35347 J. Nonlinear Sci. 33, No. 6, Paper No. 104, 45 p. (2023). MSC: 35Q53 35Q35 35C08 35R09 37K10 37K15 37K35 37K40 35L60 76L05 76P05 82C40 82D05 35R60 PDFBibTeX XMLCite \textit{T. Congy} et al., J. Nonlinear Sci. 33, No. 6, Paper No. 104, 45 p. (2023; Zbl 1527.35347) Full Text: DOI arXiv OA License
Buryak, Alexandr; Rossi, Paolo A generalisation of Witten’s conjecture for the Pixton class and the noncommutative KdV hierarchy. (English) Zbl 1523.14052 J. Inst. Math. Jussieu 22, No. 6, 2987-3009 (2023). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H10 37K10 PDFBibTeX XMLCite \textit{A. Buryak} and \textit{P. Rossi}, J. Inst. Math. Jussieu 22, No. 6, 2987--3009 (2023; Zbl 1523.14052) Full Text: DOI arXiv OA License
Ma, Wen-Xiu Four-component integrable hierarchies of Hamiltonian equations with \((m+n+2)\)th-order Lax pairs. (English. Russian original) Zbl 1521.37074 Theor. Math. Phys. 216, No. 2, 1180-1188 (2023); translation from Teor. Mat. Fiz. 216, No. 2, 315-325 (2023). MSC: 37K10 35Q55 35Q53 PDFBibTeX XMLCite \textit{W.-X. Ma}, Theor. Math. Phys. 216, No. 2, 1180--1188 (2023; Zbl 1521.37074); translation from Teor. Mat. Fiz. 216, No. 2, 315--325 (2023) Full Text: DOI
Zhang, Da-jun; Zhang, Feilong Two trigonometric function solutions of the mKdV equations. (English) Zbl 1527.37078 Appl. Math. Lett. 146, Article ID 108839, 8 p. (2023). MSC: 37K35 35C09 37K10 35Q53 PDFBibTeX XMLCite \textit{D.-j. Zhang} and \textit{F. Zhang}, Appl. Math. Lett. 146, Article ID 108839, 8 p. (2023; Zbl 1527.37078) Full Text: DOI
Zhao, Zhonglong; Zhang, Caifeng; Feng, Yexuan; Yue, Juan Space-curved resonant solitons and interaction solutions of the \((2+1)\)-dimensional Ito equation. (English) Zbl 1527.37079 Appl. Math. Lett. 146, Article ID 108799, 7 p. (2023). MSC: 37K40 37K25 37K10 35Q51 PDFBibTeX XMLCite \textit{Z. Zhao} et al., Appl. Math. Lett. 146, Article ID 108799, 7 p. (2023; Zbl 1527.37079) Full Text: DOI
Zhao, Peng; Fan, Engui A Riemann-Hilbert method to algebro-geometric solutions of the Korteweg-de Vries equation. (English) Zbl 1522.35454 Physica D 454, Article ID 133879, 24 p. (2023). MSC: 35Q53 35Q15 37K10 33C80 PDFBibTeX XMLCite \textit{P. Zhao} and \textit{E. Fan}, Physica D 454, Article ID 133879, 24 p. (2023; Zbl 1522.35454) Full Text: DOI
Krasil’shchik, I. S.; Morozov, O. I. The Calogero-Bogoyavlenskii-Schiff breaking soliton equation: recursion operators and higher symmetries. (English) Zbl 1527.37070 J. Geom. Phys. 192, Article ID 104927, 10 p. (2023). MSC: 37K10 35B06 37K40 37K06 35Q51 PDFBibTeX XMLCite \textit{I. S. Krasil'shchik} and \textit{O. I. Morozov}, J. Geom. Phys. 192, Article ID 104927, 10 p. (2023; Zbl 1527.37070) Full Text: DOI arXiv
Cafasso, Mattia; Ruzza, Giulio Integrable equations associated with the finite-temperature deformation of the discrete Bessel point process. (English) Zbl 1528.37058 J. Lond. Math. Soc., II. Ser. 108, No. 1, 273-308 (2023). MSC: 37K10 37J65 45J05 82C41 82C23 60G55 35Q53 35Q51 PDFBibTeX XMLCite \textit{M. Cafasso} and \textit{G. Ruzza}, J. Lond. Math. Soc., II. Ser. 108, No. 1, 273--308 (2023; Zbl 1528.37058) Full Text: DOI arXiv
Killip, Rowan; Ntekoume, Maria; Vişan, Monica On the well-posedness problem for the derivative nonlinear Schrödinger equation. (English) Zbl 1522.35470 Anal. PDE 16, No. 5, 1245-1270 (2023). MSC: 35Q55 35Q41 35A01 35A02 37K10 PDFBibTeX XMLCite \textit{R. Killip} et al., Anal. PDE 16, No. 5, 1245--1270 (2023; Zbl 1522.35470) Full Text: DOI arXiv
Ma, Wen-Xiu AKNS type reduced integrable bi-Hamiltonian hierarchies with four potentials. (English) Zbl 1527.37072 Appl. Math. Lett. 145, Article ID 108775, 6 p. (2023). MSC: 37K10 35Q51 35Q53 35Q55 PDFBibTeX XMLCite \textit{W.-X. Ma}, Appl. Math. Lett. 145, Article ID 108775, 6 p. (2023; Zbl 1527.37072) Full Text: DOI
Mirza, A.; ul Hassan, M. A supersymmetric second Painlevé hierarchy and bilinearization. (English. Russian original) Zbl 1516.37083 Theor. Math. Phys. 216, No. 1, 938-943 (2023); translation from Teor. Mat. Fiz. 216, No. 1, 36-42 (2023). MSC: 37K10 37J65 PDFBibTeX XMLCite \textit{A. Mirza} and \textit{M. ul Hassan}, Theor. Math. Phys. 216, No. 1, 938--943 (2023; Zbl 1516.37083); translation from Teor. Mat. Fiz. 216, No. 1, 36--42 (2023) Full Text: DOI
Zhou, Hui; Huang, Yehui; Yao, Yuqin Integrability of the vector nonlinear Schrödinger-Maxwell-Bloch equation and the Cauchy matrix approach. (English. Russian original) Zbl 1516.37095 Theor. Math. Phys. 215, No. 3, 805-822 (2023); translation from Teor. Mat. Fiz. 215, No. 3, 401-420 (2023). MSC: 37K10 35Q55 35C08 PDFBibTeX XMLCite \textit{H. Zhou} et al., Theor. Math. Phys. 215, No. 3, 805--822 (2023; Zbl 1516.37095); translation from Teor. Mat. Fiz. 215, No. 3, 401--420 (2023) Full Text: DOI
Chang, Xiang-Ke; Hu, Xing-Biao; Szmigielski, Jacek Preface to the special issue: orthogonal polynomials and integrable systems, peakons, Toda lattices and Painlevé transcendents. (English) Zbl 1525.37059 Physica D 453, Article ID 133830, 4 p. (2023). MSC: 37J35 37K10 37J38 37J65 37K20 33C45 PDFBibTeX XMLCite \textit{X.-K. Chang} et al., Physica D 453, Article ID 133830, 4 p. (2023; Zbl 1525.37059) Full Text: DOI
Li, Shangshuai; Qu, Changzheng; Zhang, Da-jun Solutions to the \(\mathrm{SU}(\mathcal{N})\) self-dual Yang-Mills equation. (English) Zbl 1523.35102 Physica D 453, Article ID 133828, 17 p. (2023). MSC: 35C05 37K10 81T13 PDFBibTeX XMLCite \textit{S. Li} et al., Physica D 453, Article ID 133828, 17 p. (2023; Zbl 1523.35102) Full Text: DOI arXiv
Kotani, Shinichi Construction of KdV flow: a unified approach. (English) Zbl 1525.37075 Peking Math. J. 6, No. 2, 469-558 (2023). MSC: 37K10 37K20 35Q53 PDFBibTeX XMLCite \textit{S. Kotani}, Peking Math. J. 6, No. 2, 469--558 (2023; Zbl 1525.37075) Full Text: DOI arXiv
Semenov, Alexander On the uniqueness of multi-breathers of the modified Korteweg-de Vries equation. (English) Zbl 1519.35277 Rev. Mat. Iberoam. 39, No. 4, 1247-1322 (2023). MSC: 35Q53 35Q51 35B40 35B35 35A01 35A02 35C08 37K10 37K40 PDFBibTeX XMLCite \textit{A. Semenov}, Rev. Mat. Iberoam. 39, No. 4, 1247--1322 (2023; Zbl 1519.35277) Full Text: DOI arXiv
Fukuda, Ikki; Hirayama, Hiroyuki Large time behavior and optimal decay estimate for solutions to the generalized Kadomtsev-Petviashvili-Burgers equation in 2D. (English) Zbl 1518.35095 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 234, Article ID 113322, 24 p. (2023). MSC: 35B40 35G25 35Q53 PDFBibTeX XMLCite \textit{I. Fukuda} and \textit{H. Hirayama}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 234, Article ID 113322, 24 p. (2023; Zbl 1518.35095) Full Text: DOI arXiv
Levandosky, Julie Propagation of regularity for solutions to the KP-I equation. (English) Zbl 1515.35236 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 234, Article ID 113315, 21 p. (2023). MSC: 35Q53 35Q35 PDFBibTeX XMLCite \textit{J. Levandosky}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 234, Article ID 113315, 21 p. (2023; Zbl 1515.35236) Full Text: DOI
Arthamonov, S.; Harnad, J.; Hurtubise, J. Lagrangian Grassmannians, CKP hierarchy and hyperdeterminantal relations. (English) Zbl 1525.37074 Commun. Math. Phys. 401, No. 2, 1337-1381 (2023). Reviewer: Felipe Zaldívar (Ciudad de México) MSC: 37K10 37K20 37K25 37K40 35Q51 14M15 14H70 PDFBibTeX XMLCite \textit{S. Arthamonov} et al., Commun. Math. Phys. 401, No. 2, 1337--1381 (2023; Zbl 1525.37074) Full Text: DOI arXiv
Himonas, A. Alexandrou; Yan, Fangchi The Majda-Biello system on the half-line. (English) Zbl 1523.35246 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 233, Article ID 113293, 50 p. (2023). Reviewer: Igor Leite Freire (São Carlos) MSC: 35Q35 35Q53 35G31 35G16 37K10 35A01 35A02 35B65 76U65 86A10 PDFBibTeX XMLCite \textit{A. A. Himonas} and \textit{F. Yan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 233, Article ID 113293, 50 p. (2023; Zbl 1523.35246) Full Text: DOI arXiv
Yang, Yingmin; Xia, Tiecheng; Liu, Tongshuai Darboux transformation and exact solution to the nonlocal Kundu-Eckhaus equation. (English) Zbl 1514.35419 Appl. Math. Lett. 141, Article ID 108602, 7 p. (2023). MSC: 35Q55 35C08 37K35 35Q15 37K10 PDFBibTeX XMLCite \textit{Y. Yang} et al., Appl. Math. Lett. 141, Article ID 108602, 7 p. (2023; Zbl 1514.35419) Full Text: DOI
Zhou, Yuan; Zhang, Xiaojing; Zhang, Chao; Jia, Junjing; Ma, Wen-Xiu New lump solutions to a \((3+1)\)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation. (English) Zbl 1514.35402 Appl. Math. Lett. 141, Article ID 108598, 10 p. (2023). MSC: 35Q53 35Q51 35C08 37K10 37K40 PDFBibTeX XMLCite \textit{Y. Zhou} et al., Appl. Math. Lett. 141, Article ID 108598, 10 p. (2023; Zbl 1514.35402) Full Text: DOI
Liu, Jian-Gen; Wang, Jing-Qun Invariant analysis of the linear time-space fractional \((2+1)\)-dimensional Burgers equation. (English) Zbl 1524.76331 Comput. Appl. Math. 42, No. 4, Paper No. 199, 19 p. (2023). MSC: 76M60 37K10 70S10 35Q35 PDFBibTeX XMLCite \textit{J.-G. Liu} and \textit{J.-Q. Wang}, Comput. Appl. Math. 42, No. 4, Paper No. 199, 19 p. (2023; Zbl 1524.76331) Full Text: DOI
Singh, Shailendra; Saha Ray, Santanu New analytic solutions for fluid flow equations in higher dimensions around an offshore structure describing bidirectional wave surfaces. (English) Zbl 1518.35185 Qual. Theory Dyn. Syst. 22, No. 4, Paper No. 123, 32 p. (2023). MSC: 35C05 35B10 35C08 35C09 PDFBibTeX XMLCite \textit{S. Singh} and \textit{S. Saha Ray}, Qual. Theory Dyn. Syst. 22, No. 4, Paper No. 123, 32 p. (2023; Zbl 1518.35185) Full Text: DOI
Wang, Tingyou; Qin, Zhenyun; Mu, Gui; Zheng, Fuzhuang General high-order rogue waves in the Hirota equation. (English) Zbl 1519.35279 Appl. Math. Lett. 140, Article ID 108571, 10 p. (2023). MSC: 35Q53 35Q55 35C08 37K35 PDFBibTeX XMLCite \textit{T. Wang} et al., Appl. Math. Lett. 140, Article ID 108571, 10 p. (2023; Zbl 1519.35279) Full Text: DOI
Deng, Bo-Jie; Hao, Hui-Qin Breathers, rogue waves and semi-rational solutions for a generalized Heisenberg ferromagnet equation. (English) Zbl 1519.35320 Appl. Math. Lett. 140, Article ID 108550, 7 p. (2023). MSC: 35Q82 82D40 35C08 37K10 37K35 PDFBibTeX XMLCite \textit{B.-J. Deng} and \textit{H.-Q. Hao}, Appl. Math. Lett. 140, Article ID 108550, 7 p. (2023; Zbl 1519.35320) Full Text: DOI
Zhu, Junyi; Jiang, Xueling; Wang, Xueru Nonlinear Schrödinger equation with nonzero boundary conditions revisited: Dbar approach. (English) Zbl 1516.35392 Anal. Math. Phys. 13, No. 3, Paper No. 51, 23 p. (2023). MSC: 35Q55 35Q41 37K10 37K15 35C08 35P25 PDFBibTeX XMLCite \textit{J. Zhu} et al., Anal. Math. Phys. 13, No. 3, Paper No. 51, 23 p. (2023; Zbl 1516.35392) Full Text: DOI
Xia, Baoqiang Vector nonlinear Schrödinger equation with an integrable defect and new integrable boundary conditions. (English) Zbl 1520.37053 Physica D 450, Article ID 133769, 12 p. (2023). MSC: 37K10 37K35 35Q55 PDFBibTeX XMLCite \textit{B. Xia}, Physica D 450, Article ID 133769, 12 p. (2023; Zbl 1520.37053) Full Text: DOI
Geng, Lumin; Hu, Jianxun; Wu, Chao-Zhong On Lax equations of the two-component BKP hierarchy. (English) Zbl 1517.35274 Physica D 449, Article ID 133748, 10 p. (2023). MSC: 35S05 37K10 PDFBibTeX XMLCite \textit{L. Geng} et al., Physica D 449, Article ID 133748, 10 p. (2023; Zbl 1517.35274) Full Text: DOI
Sun, Ying-ying; Wu, Chen-chen; Zhao, Song-lin Applications of the Sylvester equation for the lattice BKP system. (English. Russian original) Zbl 1516.37087 Theor. Math. Phys. 214, No. 3, 354-368 (2023); translation from Teor. Mat. Fiz. 214, No. 3, 410-426 (2023). MSC: 37K10 37K30 37K60 PDFBibTeX XMLCite \textit{Y.-y. Sun} et al., Theor. Math. Phys. 214, No. 3, 354--368 (2023; Zbl 1516.37087); translation from Teor. Mat. Fiz. 214, No. 3, 410--426 (2023) Full Text: DOI
Rybalko, Yan; Shepelsky, Dmitry Global conservative solutions of the nonlocal NLS equation beyond blow-up. (English) Zbl 1515.35257 Discrete Contin. Dyn. Syst. 43, No. 2, 860-894 (2023). MSC: 35Q55 35Q41 35Q15 35Q51 35B44 35B40 35B60 35C08 37K10 37K15 35A01 35A02 35R30 PDFBibTeX XMLCite \textit{Y. Rybalko} and \textit{D. Shepelsky}, Discrete Contin. Dyn. Syst. 43, No. 2, 860--894 (2023; Zbl 1515.35257) Full Text: DOI arXiv
Pelinovsky, Dmitry; Schneider, Guido KP-II approximation for a scalar Fermi-Pasta-Ulam system on a 2D square lattice. (English) Zbl 1517.37077 SIAM J. Appl. Math. 83, No. 1, 79-98 (2023). MSC: 37K60 37L60 37K10 PDFBibTeX XMLCite \textit{D. Pelinovsky} and \textit{G. Schneider}, SIAM J. Appl. Math. 83, No. 1, 79--98 (2023; Zbl 1517.37077) Full Text: DOI arXiv
Hoitmetov, Umid On the Cauchy problem for the mKdV-sine-Gordon equation with an additional term. (English) Zbl 1516.35371 Acta Appl. Math. 184, Paper No. 7, 15 p. (2023). MSC: 35Q53 35P25 47A40 37K15 37K10 45P05 35R30 78A60 PDFBibTeX XMLCite \textit{U. Hoitmetov}, Acta Appl. Math. 184, Paper No. 7, 15 p. (2023; Zbl 1516.35371) Full Text: DOI
Koch, Herbert; Liao, Xian Conserved energies for the one dimensional Gross-Pitaevskii equation: low regularity case. (English) Zbl 1515.35253 Adv. Math. 420, Article ID 108996, 61 p. (2023). Reviewer: Jiqiang Zheng (Beijing) MSC: 35Q55 35Q41 37K10 37K15 35B65 35B40 PDFBibTeX XMLCite \textit{H. Koch} and \textit{X. Liao}, Adv. Math. 420, Article ID 108996, 61 p. (2023; Zbl 1515.35253) Full Text: DOI arXiv
Zheng, Xiaoxiao; Zhao, Lingling; Xu, Yuanqing A new composite technique to obtain non-traveling wave solutions of the \((2+1)\)-dimensional extended variable coefficients Bogoyavlenskii-Kadomtsev-Petviashvili equation. (English) Zbl 1512.35158 Qual. Theory Dyn. Syst. 22, No. 2, Paper No. 83, 24 p. (2023). MSC: 35G20 37K10 68W30 PDFBibTeX XMLCite \textit{X. Zheng} et al., Qual. Theory Dyn. Syst. 22, No. 2, Paper No. 83, 24 p. (2023; Zbl 1512.35158) Full Text: DOI
Fujiié, Setsuro; Hatzizisis, Nicholas; Kamvissis, Spyridon Semiclassical WKB problem for the non-self-adjoint Dirac operator with an analytic rapidly oscillating potential. (English) Zbl 1512.35533 J. Differ. Equations 360, 90-150 (2023). MSC: 35Q55 35Q41 35Q40 81Q20 81Q10 35B40 35P25 37K15 37K10 33C10 PDFBibTeX XMLCite \textit{S. Fujiié} et al., J. Differ. Equations 360, 90--150 (2023; Zbl 1512.35533) Full Text: DOI arXiv
Devi, Preeti; Singh, K. Symmetry analysis of the (3+1) dimensional Kadomtsev-Petviashvili equation with variable coefficients and an arbitrary nonlinear term. (English) Zbl 1509.37085 Int. J. Dyn. Syst. Differ. Equ. 13, No. 1, 1-21 (2023). MSC: 37K10 35B06 35A30 34A34 76M60 PDFBibTeX XMLCite \textit{P. Devi} and \textit{K. Singh}, Int. J. Dyn. Syst. Differ. Equ. 13, No. 1, 1--21 (2023; Zbl 1509.37085) Full Text: DOI
Sun, Shi-Fei; Li, Biao A \(\overline{\partial } \)-dressing method for the mixed Chen-Lee-Liu derivative nonlinear Schrödinger equation. (English) Zbl 1509.35287 J. Nonlinear Math. Phys. 30, No. 1, 201-214 (2023). MSC: 35Q55 35Q51 35C05 37K10 37K40 37K20 PDFBibTeX XMLCite \textit{S.-F. Sun} and \textit{B. Li}, J. Nonlinear Math. Phys. 30, No. 1, 201--214 (2023; Zbl 1509.35287) Full Text: DOI
Zhao, Qiulan; Wang, Huanjin; Li, Xinyue; Li, Chuanzhong Lie symmetry analysis and conservation laws for the \((2 + 1)\)-dimensional dispersionless B-type Kadomtsev-Petviashvili equation. (English) Zbl 1509.76067 J. Nonlinear Math. Phys. 30, No. 1, 92-113 (2023). MSC: 76M60 37K10 35Q51 35B06 PDFBibTeX XMLCite \textit{Q. Zhao} et al., J. Nonlinear Math. Phys. 30, No. 1, 92--113 (2023; Zbl 1509.76067) Full Text: DOI
Chen, Robin Ming; Di, Huafei; Liu, Yue Stability of peaked solitary waves for a class of cubic quasilinear shallow-water equations. (English) Zbl 1512.35455 Int. Math. Res. Not. 2023, No. 7, 6186-6218 (2023). MSC: 35Q31 76B15 76B03 35C08 35B35 35B40 35B20 37K10 PDFBibTeX XMLCite \textit{R. M. Chen} et al., Int. Math. Res. Not. 2023, No. 7, 6186--6218 (2023; Zbl 1512.35455) Full Text: DOI
Harrop-Griffiths, Benjamin; Killip, Rowan; Vişan, Monica Large-data equicontinuity for the derivative NLS. (English) Zbl 1519.35290 Int. Math. Res. Not. 2023, No. 6, 4601-4642 (2023). Reviewer: Nicolas Camps (Nantes) MSC: 35Q55 35Q41 35A01 35A02 35C08 37K10 37K35 PDFBibTeX XMLCite \textit{B. Harrop-Griffiths} et al., Int. Math. Res. Not. 2023, No. 6, 4601--4642 (2023; Zbl 1519.35290) Full Text: DOI arXiv
Batool, Tahira; Seadawy, Aly R.; Rizvi, Syed T. R. Multiple lump solutions and their interactions for an integrable nonlinear dispersionless PDE in vector fields. (English) Zbl 1511.35311 Nonlinear Anal., Model. Control 28, No. 2, 264-287 (2023). MSC: 35Q53 35C08 37K10 PDFBibTeX XMLCite \textit{T. Batool} et al., Nonlinear Anal., Model. Control 28, No. 2, 264--287 (2023; Zbl 1511.35311) Full Text: DOI
Tela, Guesh Yfter; Zhao, Song-Lin; Zhang, Da-Jun On the fourth-order lattice Gel’fand-Dikii equations. (English) Zbl 1510.35276 SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 007, 30 p. (2023). MSC: 35Q53 35C08 37K60 37K35 37K10 35G05 39A36 PDFBibTeX XMLCite \textit{G. Y. Tela} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 007, 30 p. (2023; Zbl 1510.35276) Full Text: DOI arXiv
Hoitmetov, U. A. Integration of the Hirota equation with time-dependent coefficients. (English. Russian original) Zbl 1516.37098 Theor. Math. Phys. 214, No. 1, 24-35 (2023); translation from Teor. Mat. Fiz. 214, No. 1, 30-42 (2023). MSC: 37K15 37K10 35Q51 PDFBibTeX XMLCite \textit{U. A. Hoitmetov}, Theor. Math. Phys. 214, No. 1, 24--35 (2023; Zbl 1516.37098); translation from Teor. Mat. Fiz. 214, No. 1, 30--42 (2023) Full Text: DOI
Chern, Jann-Long; Gualdani, Maria Uniqueness of higher integrable solution to the Landau equation with Coulomb interactions. (English) Zbl 1509.35174 Math. Res. Lett. 29, No. 4, 945-960 (2022). MSC: 35Q20 82D10 35D30 35B44 35P15 35A02 37K10 PDFBibTeX XMLCite \textit{J.-L. Chern} and \textit{M. Gualdani}, Math. Res. Lett. 29, No. 4, 945--960 (2023; Zbl 1509.35174) Full Text: DOI arXiv
Zhou, Ruguang; Zhu, Hongyang An integrable matrix NLS equation on star graph and symmetry-dependent connection conditions of vertex. (English) Zbl 1511.37080 Comput. Appl. Math. 42, No. 2, Paper No. 69, 11 p. (2023). MSC: 37K10 35R05 35Q55 PDFBibTeX XMLCite \textit{R. Zhou} and \textit{H. Zhu}, Comput. Appl. Math. 42, No. 2, Paper No. 69, 11 p. (2023; Zbl 1511.37080) Full Text: DOI
Li, Jinlu; Yu, Yanghai; Zhu, Weipeng Well-posedness and continuity properties of the Degasperis-Procesi equation in critical Besov space. (English) Zbl 1508.35125 Monatsh. Math. 200, No. 2, 301-313 (2023). MSC: 35Q53 37K10 35D30 35A01 35A02 PDFBibTeX XMLCite \textit{J. Li} et al., Monatsh. Math. 200, No. 2, 301--313 (2023; Zbl 1508.35125) Full Text: DOI arXiv
Liu, Yaqing; Zhang, Wen-Xin; Ma, Wen-Xiu Riemann-Hilbert problems and soliton solutions for a generalized coupled Sasa-Satsuma equation. (English) Zbl 1508.35028 Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107052, 24 p. (2023). MSC: 35Q15 35Q53 35Q55 37K10 37K15 35C08 35B40 PDFBibTeX XMLCite \textit{Y. Liu} et al., Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107052, 24 p. (2023; Zbl 1508.35028) Full Text: DOI
Rasin, Alexander G. Computation of generating symmetries. (English) Zbl 1511.37074 Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107003, 12 p. (2023). MSC: 37K06 37-04 37K10 35B06 35Q51 70G65 70H33 70S10 68W30 PDFBibTeX XMLCite \textit{A. G. Rasin}, Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107003, 12 p. (2023; Zbl 1511.37074) Full Text: DOI arXiv
Zheng, Bowen On the blow-up solutions for the nonlinear radial Schrödinger equations with spatial variable coefficients. (English) Zbl 1508.35165 Osaka J. Math. 60, No. 1, 31-42 (2023). MSC: 35Q55 35Q41 35B44 35M11 37K10 PDFBibTeX XMLCite \textit{B. Zheng}, Osaka J. Math. 60, No. 1, 31--42 (2023; Zbl 1508.35165) Full Text: Link
Song, Yunjia; Yang, Ben; Wang, Zenggui Bifurcations and exact solutions of a new \((3+1)\)-dimensional Kadomtsev-Petviashvili equation. (English) Zbl 1518.35057 Phys. Lett., A 461, Article ID 128647, 11 p. (2023). MSC: 35B32 35C07 35C08 35G25 PDFBibTeX XMLCite \textit{Y. Song} et al., Phys. Lett., A 461, Article ID 128647, 11 p. (2023; Zbl 1518.35057) Full Text: DOI
Zhou, Xuan; Fan, Engui Long time asymptotic behavior for the nonlocal mKdV equation in solitonic space-time regions. (English) Zbl 1506.35195 Math. Phys. Anal. Geom. 26, No. 1, Paper No. 3, 53 p. (2023). MSC: 35Q51 35Q53 35Q15 35C08 35B40 35C20 37K10 37K15 PDFBibTeX XMLCite \textit{X. Zhou} and \textit{E. Fan}, Math. Phys. Anal. Geom. 26, No. 1, Paper No. 3, 53 p. (2023; Zbl 1506.35195) Full Text: DOI arXiv
Klaus, Friedrich Wellposedness of NLS in modulation spaces. (English) Zbl 1505.35326 J. Fourier Anal. Appl. 29, No. 1, Paper No. 9, 37 p. (2023). MSC: 35Q55 35Q41 37K10 35B65 35A01 35A02 PDFBibTeX XMLCite \textit{F. Klaus}, J. Fourier Anal. Appl. 29, No. 1, Paper No. 9, 37 p. (2023; Zbl 1505.35326) Full Text: DOI arXiv
Ma, Wen-Xiu A multi-component integrable hierarchy and its integrable reductions. (English) Zbl 1518.37069 Phys. Lett., A 457, Article ID 128575, 6 p. (2023). MSC: 37K10 37K30 35Q55 35Q53 17B80 PDFBibTeX XMLCite \textit{W.-X. Ma}, Phys. Lett., A 457, Article ID 128575, 6 p. (2023; Zbl 1518.37069) Full Text: DOI
Moon, Byungsoo Nonexistence of periodic peaked traveling wave solutions to a rotation \(\mu \)-Camassa-Holm equation with Coriolis effect. (English) Zbl 1505.35305 Nonlinear Anal., Real World Appl. 70, Article ID 103793, 7 p. (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q35 35Q53 76U60 86A05 35G25 35D30 35C07 35C08 35A01 37K10 PDFBibTeX XMLCite \textit{B. Moon}, Nonlinear Anal., Real World Appl. 70, Article ID 103793, 7 p. (2023; Zbl 1505.35305) Full Text: DOI
Guan, Chunxia; Guo, Boling Global attractor for the viscous modified two-component Camassa-Holm equation. (English) Zbl 1505.35301 Nonlinear Anal., Real World Appl. 70, Article ID 103792, 12 p. (2023). MSC: 35Q35 76B15 35A01 35A02 37K10 PDFBibTeX XMLCite \textit{C. Guan} and \textit{B. Guo}, Nonlinear Anal., Real World Appl. 70, Article ID 103792, 12 p. (2023; Zbl 1505.35301) Full Text: DOI
Kudryashov, Nikolay A. Mathematical model with unrestricted dispersion and polynomial nonlinearity. (English) Zbl 1505.35327 Appl. Math. Lett. 138, Article ID 108519, 8 p. (2023). MSC: 35Q55 35Q41 35C08 35C07 35A24 37K10 78A60 PDFBibTeX XMLCite \textit{N. A. Kudryashov}, Appl. Math. Lett. 138, Article ID 108519, 8 p. (2023; Zbl 1505.35327) Full Text: DOI
Xu, Tao; He, Guoliang; Wang, Ming; Wang, Yanqing Mixed higher-order rogue waves and solitons for the coupled modified nonlinear Schrödinger equation. (English) Zbl 1509.35289 Qual. Theory Dyn. Syst. 22, No. 1, Paper No. 14, 22 p. (2023). MSC: 35Q55 35Q41 78A60 35C08 37K35 37K10 PDFBibTeX XMLCite \textit{T. Xu} et al., Qual. Theory Dyn. Syst. 22, No. 1, Paper No. 14, 22 p. (2023; Zbl 1509.35289) Full Text: DOI
Bolsinov, Alexey V.; Konyaev, Andrey Yu.; Matveev, Vladimir S. Applications of Nijenhuis geometry. IV: Multicomponent KdV and Camassa-Holm equations. (English) Zbl 1517.37067 Dyn. Partial Differ. Equ. 20, No. 1, 73-98 (2023). MSC: 37K10 37K25 35Q51 53Z05 53A55 53B20 53D17 PDFBibTeX XMLCite \textit{A. V. Bolsinov} et al., Dyn. Partial Differ. Equ. 20, No. 1, 73--98 (2023; Zbl 1517.37067) Full Text: DOI arXiv
Chamorro, Diego; Llerena, David A crypto-regularity result for the micropolar fluids equations. (English) Zbl 1504.35302 J. Math. Anal. Appl. 520, No. 2, Article ID 126922, 28 p. (2023). MSC: 35Q35 76A05 76U05 35B65 35B20 35D30 37K10 PDFBibTeX XMLCite \textit{D. Chamorro} and \textit{D. Llerena}, J. Math. Anal. Appl. 520, No. 2, Article ID 126922, 28 p. (2023; Zbl 1504.35302) Full Text: DOI arXiv
Krasil’shchik, I. S.; Morozov, O. I. Lagrangian extensions of multi-dimensional integrable equations. I: The five-dimensional Martínez Alonso-Shabat equation. (English) Zbl 1502.58003 Anal. Math. Phys. 13, No. 1, Paper No. 2, 20 p. (2023). MSC: 58H05 58J70 35A30 37K10 PDFBibTeX XMLCite \textit{I. S. Krasil'shchik} and \textit{O. I. Morozov}, Anal. Math. Phys. 13, No. 1, Paper No. 2, 20 p. (2023; Zbl 1502.58003) Full Text: DOI arXiv
Xiao, Yamin; Guo, Boling; Wang, Zhong Nonlinear stability of multi-solitons for the Hirota equation. (English) Zbl 1501.35330 J. Differ. Equations 342, 369-417 (2023). MSC: 35Q35 35Q51 35Q55 37K06 37K10 37K15 37K40 37K45 35C08 35B35 PDFBibTeX XMLCite \textit{Y. Xiao} et al., J. Differ. Equations 342, 369--417 (2023; Zbl 1501.35330) Full Text: DOI
Chen, Wenxia; Guan, Ru; Tian, Lixin Interaction phenomenon and breather wave to the extend \((3 + 1)\)-dimensional Kadomtsev-Petviashvili equation. (English) Zbl 1498.35471 J. Math. Anal. Appl. 518, No. 1, Article ID 126650, 11 p. (2023). MSC: 35Q53 35C08 68W30 37K40 PDFBibTeX XMLCite \textit{W. Chen} et al., J. Math. Anal. Appl. 518, No. 1, Article ID 126650, 11 p. (2023; Zbl 1498.35471) Full Text: DOI
Qiu, Deqin; Zhang, Yongshuai The explicit bound-state soliton of Kundu equation derived by Riemann-Hilbert problem. (English) Zbl 1501.35276 Appl. Math. Lett. 135, Article ID 108443, 7 p. (2023). MSC: 35Q15 35Q51 35Q55 35C08 37K10 35B40 35P25 PDFBibTeX XMLCite \textit{D. Qiu} and \textit{Y. Zhang}, Appl. Math. Lett. 135, Article ID 108443, 7 p. (2023; Zbl 1501.35276) Full Text: DOI
Silem, Abdselam; Lin, Ji Exact solutions for a variable-coefficients nonisospectral nonlinear Schrödinger equation via Wronskian technique. (English) Zbl 1501.35378 Appl. Math. Lett. 135, Article ID 108397, 9 p. (2023). MSC: 35Q55 35Q41 35C08 37K10 PDFBibTeX XMLCite \textit{A. Silem} and \textit{J. Lin}, Appl. Math. Lett. 135, Article ID 108397, 9 p. (2023; Zbl 1501.35378) Full Text: DOI
Agostini, Daniele; Fevola, Claudia; Mandelshtam, Yelena; Sturmfels, Bernd KP solitons from tropical limits. (English) Zbl 1495.14046 J. Symb. Comput. 114, 282-301 (2023). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H42 14T90 37K10 PDFBibTeX XMLCite \textit{D. Agostini} et al., J. Symb. Comput. 114, 282--301 (2023; Zbl 1495.14046) Full Text: DOI arXiv
Grinevich, Petr G.; Santini, Paolo M. The finite-gap method and the periodic Cauchy problem for \((2+1)\)-dimensional anomalous waves for the focusing Davey-Stewartson 2 equation. (English. Russian original) Zbl 1522.35465 Russ. Math. Surv. 77, No. 6, 1029-1059 (2022); translation from Usp. Mat. Nauk 77, No. 6, 77-108 (2022). MSC: 35Q55 35Q41 35C08 35C20 35B40 35B20 37K10 37K15 37K20 PDFBibTeX XMLCite \textit{P. G. Grinevich} and \textit{P. M. Santini}, Russ. Math. Surv. 77, No. 6, 1029--1059 (2022; Zbl 1522.35465); translation from Usp. Mat. Nauk 77, No. 6, 77--108 (2022) Full Text: DOI arXiv MNR
Zhao, Yan-Nan; Wang, Na The exact solutions of Fokas-Lenells equation based on Jacobi elliptic function expansion method. (English) Zbl 1512.35560 Bound. Value Probl. 2022, Paper No. 93, 11 p. (2022). MSC: 35Q55 35C08 35Q53 37K10 35B10 PDFBibTeX XMLCite \textit{Y.-N. Zhao} and \textit{N. Wang}, Bound. Value Probl. 2022, Paper No. 93, 11 p. (2022; Zbl 1512.35560) Full Text: DOI
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele On Lax operators. (English) Zbl 1522.37077 Jpn. J. Math. (3) 17, No. 1, 63-116 (2022). MSC: 37K10 37K06 37K20 37K30 17B80 PDFBibTeX XMLCite \textit{A. De Sole} et al., Jpn. J. Math. (3) 17, No. 1, 63--116 (2022; Zbl 1522.37077) Full Text: DOI arXiv
Xia, Pei; Zhang, Yi; Ye, Rusuo Interaction of high-order breather, periodic wave, lump, rational soliton solutions and mixed solutions for reductions of the \((4+1)\)-dimensional Fokas equation. (English) Zbl 1514.35099 Math. Model. Nat. Phenom. 17, Paper No. 45, 12 p. (2022). MSC: 35C08 35Q51 PDFBibTeX XMLCite \textit{P. Xia} et al., Math. Model. Nat. Phenom. 17, Paper No. 45, 12 p. (2022; Zbl 1514.35099) Full Text: DOI
Tovbis, Alexander; Wang, Fudong Recent developments in spectral theory of the focusing NLS soliton and breather gases: the thermodynamic limit of average densities, fluxes and certain meromorphic differentials; periodic gases. (English) Zbl 1518.35577 J. Phys. A, Math. Theor. 55, No. 42, Article ID 424006, 50 p. (2022). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q55 35C08 37K10 37K15 35P15 PDFBibTeX XMLCite \textit{A. Tovbis} and \textit{F. Wang}, J. Phys. A, Math. Theor. 55, No. 42, Article ID 424006, 50 p. (2022; Zbl 1518.35577) Full Text: DOI arXiv
Barnes, L. E.; Hone, A. N. W.; Senthilvelan, M.; Stalin, S. Similarity reductions of peakon equations: integrable cubic equations. (English) Zbl 1511.35088 J. Phys. A, Math. Theor. 55, No. 42, Article ID 424002, 45 p. (2022). MSC: 35G25 37K10 PDFBibTeX XMLCite \textit{L. E. Barnes} et al., J. Phys. A, Math. Theor. 55, No. 42, Article ID 424002, 45 p. (2022; Zbl 1511.35088) Full Text: DOI arXiv
Igonin, Sergei; Konstantinou-Rizos, Sotiris Algebraic and differential-geometric constructions of set-theoretical solutions to the Zamolodchikov tetrahedron equation. (English) Zbl 1519.39018 J. Phys. A, Math. Theor. 55, No. 40, Article ID 405205, 29 p. (2022). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 39A36 37J70 37J37 37K10 16T25 15A24 PDFBibTeX XMLCite \textit{S. Igonin} and \textit{S. Konstantinou-Rizos}, J. Phys. A, Math. Theor. 55, No. 40, Article ID 405205, 29 p. (2022; Zbl 1519.39018) Full Text: DOI arXiv
Chen, Xiaohong Algebro-geometric solutions of a \((2+1)\)-dimensional integrable equation associated with the Ablowitz-Kaup-Newell-Segur soliton hierarchy. (English) Zbl 1511.37076 Adv. Math. Phys. 2022, Article ID 4324648, 8 p. (2022). MSC: 37K10 37K20 PDFBibTeX XMLCite \textit{X. Chen}, Adv. Math. Phys. 2022, Article ID 4324648, 8 p. (2022; Zbl 1511.37076) Full Text: DOI
Xu, Xiaoxue; Cao, Cewen; Zhang, Da-jun Algebro-geometric solutions to the lattice potential modified Kadomtsev-Petviashvili equation. (English) Zbl 1511.37090 J. Phys. A, Math. Theor. 55, No. 37, Article ID 375201, 28 p. (2022). MSC: 37K60 37K10 37K20 37K35 39A36 PDFBibTeX XMLCite \textit{X. Xu} et al., J. Phys. A, Math. Theor. 55, No. 37, Article ID 375201, 28 p. (2022; Zbl 1511.37090) Full Text: DOI arXiv
Wang, Xiu-Bin; Tian, Shou-Fu Exotic vector freak waves in the nonlocal nonlinear Schrödinger equation. (English) Zbl 1504.35501 Physica D 442, Article ID 133528, 8 p. (2022). MSC: 35Q55 35B36 35P25 35C08 37K10 37K35 PDFBibTeX XMLCite \textit{X.-B. Wang} and \textit{S.-F. Tian}, Physica D 442, Article ID 133528, 8 p. (2022; Zbl 1504.35501) Full Text: DOI
Basalaev, A. Integrable systems associated to open extensions of type A and D Dubrovin-Frobenius manifolds. (English) Zbl 1507.37091 J. Phys. A, Math. Theor. 55, No. 29, Article ID 295202, 12 p. (2022). MSC: 37K10 37K25 53D45 PDFBibTeX XMLCite \textit{A. Basalaev}, J. Phys. A, Math. Theor. 55, No. 29, Article ID 295202, 12 p. (2022; Zbl 1507.37091) Full Text: DOI arXiv
Croydon, David A.; Sasada, Makiko; Tsujimoto, Satoshi Bi-infinite solutions for KdV- and Toda-type discrete integrable systems based on path encodings. (English) Zbl 1508.37098 Math. Phys. Anal. Geom. 25, No. 4, Paper No. 27, 71 p. (2022). MSC: 37K60 37K10 35Q51 39A36 PDFBibTeX XMLCite \textit{D. A. Croydon} et al., Math. Phys. Anal. Geom. 25, No. 4, Paper No. 27, 71 p. (2022; Zbl 1508.37098) Full Text: DOI arXiv