Yilmaz, Halis Quasi-Grammian solutions of the coupled Gerdjikov-Ivanov equation. (English) Zbl 07825041 Wave Motion 124, Article ID 103245, 14 p. (2024). MSC: 35-XX 81-XX PDFBibTeX XMLCite \textit{H. Yilmaz}, Wave Motion 124, Article ID 103245, 14 p. (2024; Zbl 07825041) Full Text: DOI
Khoitmetov, Umid Azadovich; Sobirov, Shekhzod Kuchkarboĭ ugli Integration of the loaded MKDV equation with a source in the class of rapidly decreasing functions. (Russian. English summary) Zbl 07823407 Mat. Zamet. SVFU 30, No. 2, 75-91 (2023). MSC: 35-XX 81-XX PDFBibTeX XMLCite \textit{U. A. Khoitmetov} and \textit{S. K. u. Sobirov}, Mat. Zamet. SVFU 30, No. 2, 75--91 (2023; Zbl 07823407) Full Text: DOI
Wang, Haifeng; Zhang, Yufeng; Li, Chuanzhong A multi-component super integrable Dirac hierarchy. (English) Zbl 07799172 Phys. Lett., B 847, Article ID 138323, 11 p. (2023). MSC: 81-XX 83-XX PDFBibTeX XMLCite \textit{H. Wang} et al., Phys. Lett., B 847, Article ID 138323, 11 p. (2023; Zbl 07799172) Full Text: DOI
Li, Xing-Lan; Guo, Rui Interactions of localized wave structures on periodic backgrounds for the coupled Lakshmanan-Porsezian-Daniel equations in birefringent optical fibers. (English) Zbl 07771858 Ann. Phys., Berlin 535, No. 1, Article ID 2200472, 15 p. (2023). MSC: 81-XX PDFBibTeX XMLCite \textit{X.-L. Li} and \textit{R. Guo}, Ann. Phys., Berlin 535, No. 1, Article ID 2200472, 15 p. (2023; Zbl 07771858) Full Text: DOI
Chen, Xiao-Min; Yan, An-Hui Hungry Lotka-Volterra lattice under nonzero boundaries, block-Hankel determinant solution, and biorthogonal polynomials. (English) Zbl 07771131 Stud. Appl. Math. 151, No. 3, 1097-1135 (2023). MSC: 81-XX 65-XX PDFBibTeX XMLCite \textit{X.-M. Chen} and \textit{A.-H. Yan}, Stud. Appl. Math. 151, No. 3, 1097--1135 (2023; Zbl 07771131) Full Text: DOI
Rao, Jiguang; Kanna, T.; He, Jingsong Dynamics of general higher-order rogue waves in the two-component long wave-short wave model of Newell type. (English) Zbl 1527.35391 Physica D 456, Article ID 133922, 18 p. (2023). MSC: 35Q55 35C08 35Q35 81Q05 PDFBibTeX XMLCite \textit{J. Rao} et al., Physica D 456, Article ID 133922, 18 p. (2023; Zbl 1527.35391) Full Text: DOI
Lou, S. Y.; Hao, Xia-zhi; Jia, Man Deformation conjecture: deforming lower dimensional integrable systems to higher dimensional ones by using conservation laws. (English) Zbl 07690582 J. High Energy Phys. 2023, No. 3, Paper No. 18, 14 p. (2023). MSC: 81-XX PDFBibTeX XMLCite \textit{S. Y. Lou} et al., J. High Energy Phys. 2023, No. 3, Paper No. 18, 14 p. (2023; Zbl 07690582) Full Text: DOI arXiv
Lou, Yu; Zhang, Yi Breathers on elliptic function background for a generalized nonlinear Schrödinger equation with higher-order terms. (English) Zbl 07529431 Math. Comput. Simul. 197, 22-31 (2022). MSC: 35-XX 81-XX PDFBibTeX XMLCite \textit{Y. Lou} and \textit{Y. Zhang}, Math. Comput. Simul. 197, 22--31 (2022; Zbl 07529431) Full Text: DOI
Zhou, Hanyu; Tian, Kai Integrable super extensions of \(K(-2,-2)\) equation. (English. Russian original) Zbl 1515.37071 Theor. Math. Phys. 210, No. 3, 353-362 (2022); translation from Teor. Mat. Fiz. 210, No. 3, 405-415 (2022). MSC: 37K10 37K06 81T60 PDFBibTeX XMLCite \textit{H. Zhou} and \textit{K. Tian}, Theor. Math. Phys. 210, No. 3, 353--362 (2022; Zbl 1515.37071); translation from Teor. Mat. Fiz. 210, No. 3, 405--415 (2022) Full Text: DOI
Wang, Xin; Li, Jina; Wang, Lei; Kang, Jingfeng Dark-dark solitons, soliton molecules and elastic collisions in the mixed three-level coupled Maxwell-Bloch equations. (English) Zbl 1486.83084 Phys. Lett., A 432, Article ID 128023, 15 p. (2022). MSC: 83C56 35C08 81V55 83C22 32A18 83C30 83C15 35Q05 70F35 PDFBibTeX XMLCite \textit{X. Wang} et al., Phys. Lett., A 432, Article ID 128023, 15 p. (2022; Zbl 1486.83084) Full Text: DOI
Zang, Liming On the integrability of a four-component super system. (English. Russian original) Zbl 1486.81179 Theor. Math. Phys. 210, No. 1, 85-98 (2022); translation from Teor. Mat. Fiz. 210, No. 1, 99-114 (2022). MSC: 81V72 70H05 22E70 PDFBibTeX XMLCite \textit{L. Zang}, Theor. Math. Phys. 210, No. 1, 85--98 (2022; Zbl 1486.81179); translation from Teor. Mat. Fiz. 210, No. 1, 99--114 (2022) Full Text: DOI
Ma, Xinxin; Kuang, Yonghui Inverse scattering transform for a nonlocal derivative nonlinear Schrödinger equation. (English. Russian original) Zbl 1486.81097 Theor. Math. Phys. 210, No. 1, 31-45 (2022); translation from Teor. Mat. Fiz. 210, No. 1, 38-53 (2022). MSC: 81Q05 35Q55 34B10 81U40 35Q15 PDFBibTeX XMLCite \textit{X. Ma} and \textit{Y. Kuang}, Theor. Math. Phys. 210, No. 1, 31--45 (2022; Zbl 1486.81097); translation from Teor. Mat. Fiz. 210, No. 1, 38--53 (2022) Full Text: DOI
Wang, Xiu-Bin; Han, Bo The general fifth-order nonlinear Schrödinger equation with nonzero boundary conditions: inverse scattering transform and multisoliton solutions. (English. Russian original) Zbl 1486.81103 Theor. Math. Phys. 210, No. 1, 8-30 (2022); translation from Teor. Mat. Fiz. 210, No. 1, 11-37 (2022). MSC: 81Q05 35Q55 81U40 35C08 35Q15 35G31 70H33 81Q80 PDFBibTeX XMLCite \textit{X.-B. Wang} and \textit{B. Han}, Theor. Math. Phys. 210, No. 1, 8--30 (2022; Zbl 1486.81103); translation from Teor. Mat. Fiz. 210, No. 1, 11--37 (2022) Full Text: DOI arXiv
Wang, Xin; Wang, Lei; Liu, Chong; Guo, Bowen; Wei, Jiao Rogue waves, semirational rogue waves and W-shaped solitons in the three-level coupled Maxwell-Bloch equations. (English) Zbl 1481.78025 Commun. Nonlinear Sci. Numer. Simul. 107, Article ID 106172, 23 p. (2022). MSC: 78A60 35Q60 35Q55 35Q41 35C08 37K10 37K35 81V45 PDFBibTeX XMLCite \textit{X. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 107, Article ID 106172, 23 p. (2022; Zbl 1481.78025) Full Text: DOI
Chai, Xuedong; Zhang, Yufeng; Zhao, Shiyin Application of the \(\bar\partial \)-dressing method to a \((2+1)\)-dimensional equation. (English. Russian original) Zbl 1486.81147 Theor. Math. Phys. 209, No. 3, 1717-1725 (2021); translation from Teor. Mat. Fiz. 209, No. 3, 465-474 (2021). MSC: 81T10 81T15 35J08 35R30 81U40 35C08 35G31 PDFBibTeX XMLCite \textit{X. Chai} et al., Theor. Math. Phys. 209, No. 3, 1717--1725 (2021; Zbl 1486.81147); translation from Teor. Mat. Fiz. 209, No. 3, 465--474 (2021) Full Text: DOI
Li, Yan; Zhang, Ling; Hu, Beibei; Wang, Ruiqi The initial-boundary value for the combined Schrödinger and Gerdjikov-Ivanov equation on the half-line via the Riemann-Hilbert approach. (English. Russian original) Zbl 1482.81011 Theor. Math. Phys. 209, No. 2, 1537-1551 (2021); translation from Teor. Mat. Fiz. 209, No. 2, 258-273 (2021). MSC: 81Q05 35Q55 35Q15 35G31 65R10 34L40 PDFBibTeX XMLCite \textit{Y. Li} et al., Theor. Math. Phys. 209, No. 2, 1537--1551 (2021; Zbl 1482.81011); translation from Teor. Mat. Fiz. 209, No. 2, 258--273 (2021) Full Text: DOI
Wang, Haifeng; Zhang, Yufeng \( \bar\partial \)-dressing method for a few \((2+1)\)-dimensional integrable coupling systems. (English. Russian original) Zbl 1482.81040 Theor. Math. Phys. 208, No. 3, 1239-1255 (2021); translation from Teor. Mat. Fiz. 208, No. 3, 452-470 (2021). MSC: 81U40 81U15 81Q80 81T10 PDFBibTeX XMLCite \textit{H. Wang} and \textit{Y. Zhang}, Theor. Math. Phys. 208, No. 3, 1239--1255 (2021; Zbl 1482.81040); translation from Teor. Mat. Fiz. 208, No. 3, 452--470 (2021) Full Text: DOI
Sinthuja, N.; Manikandan, K.; Senthilvelan, M. Formation of rogue waves on the periodic background in a fifth-order nonlinear Schrödinger equation. (English) Zbl 07412670 Phys. Lett., A 415, Article ID 127640, 13 p. (2021). MSC: 81-XX 82-XX PDFBibTeX XMLCite \textit{N. Sinthuja} et al., Phys. Lett., A 415, Article ID 127640, 13 p. (2021; Zbl 07412670) Full Text: DOI arXiv
Lou, S. Y.; Hu, X. B.; Liu, Q. P. Duality of positive and negative integrable hierarchies via relativistically invariant fields. (English) Zbl 1468.81056 J. High Energy Phys. 2021, No. 7, Paper No. 58, 22 p. (2021). MSC: 81R12 83A05 35Q53 PDFBibTeX XMLCite \textit{S. Y. Lou} et al., J. High Energy Phys. 2021, No. 7, Paper No. 58, 22 p. (2021; Zbl 1468.81056) Full Text: DOI arXiv
Wang, Zi-Yi; Tian, Shou-Fu; Zhang, Xiao-Fan Riemann-Hilbert problem for the Kundu-type nonlinear Schrödinger equation with \(N\) distinct arbitrary-order poles. (English. Russian original) Zbl 1467.81041 Theor. Math. Phys. 207, No. 1, 415-433 (2021); translation from Teor. Mat. Fiz. 207, No. 1, 23-43 (2021). MSC: 81Q05 35Q55 35G30 35Q15 35C08 PDFBibTeX XMLCite \textit{Z.-Y. Wang} et al., Theor. Math. Phys. 207, No. 1, 415--433 (2021; Zbl 1467.81041); translation from Teor. Mat. Fiz. 207, No. 1, 23--43 (2021) Full Text: DOI
Xu, Siqi; Li, Ruomeng; Geng, Xianguo Riemann-Hilbert method for the three-component Sasa-Satsuma equation and its \(N\)-soliton solutions. (English) Zbl 1527.35396 Rep. Math. Phys. 85, No. 1, 77-103 (2020). MSC: 35Q55 35C08 35Q15 30E25 81V80 PDFBibTeX XMLCite \textit{S. Xu} et al., Rep. Math. Phys. 85, No. 1, 77--103 (2020; Zbl 1527.35396) Full Text: DOI
Yang, Jin-Jie; Tian, Shou-Fu Riemann-Hilbert problem for the modified Landau-Lifshitz equation with nonzero boundary conditions. (English. Russian original) Zbl 1465.35369 Theor. Math. Phys. 205, No. 3, 1611-1637 (2020); translation from Teor. Mat. Fiz. 205, No. 3, 420-450 (2020). Reviewer: Eric Stachura (Marietta) MSC: 35Q60 35Q15 35C08 81U20 35P25 35B40 35R60 PDFBibTeX XMLCite \textit{J.-J. Yang} and \textit{S.-F. Tian}, Theor. Math. Phys. 205, No. 3, 1611--1637 (2020; Zbl 1465.35369); translation from Teor. Mat. Fiz. 205, No. 3, 420--450 (2020) Full Text: DOI arXiv
Li, Zhi-Qiang; Tian, Shou-Fu; Peng, Wei-Qi; Yang, Jin-Jie Inverse scattering transform and soliton classification of higher-order nonlinear Schrödinger-Maxwell-Bloch equations. (English. Russian original) Zbl 1445.81076 Theor. Math. Phys. 203, No. 3, 709-725 (2020); translation from Teor. Mat. Fiz. 203, No. 3, 323-341 (2020). MSC: 81V80 35Q55 35Q61 35Q60 35P30 35C08 78A48 PDFBibTeX XMLCite \textit{Z.-Q. Li} et al., Theor. Math. Phys. 203, No. 3, 709--725 (2020; Zbl 1445.81076); translation from Teor. Mat. Fiz. 203, No. 3, 323--341 (2020) Full Text: DOI
Shen, Jing; Geng, Xianguo; Xue, Bo Modulation instability and dynamics for the Hermitian symmetric space derivative nonlinear Schrödinger equation. (English) Zbl 1473.35515 Commun. Nonlinear Sci. Numer. Simul. 78, Article ID 104877, 16 p. (2019). MSC: 35Q55 35L65 35C08 35Q82 37K10 81Q05 82D10 PDFBibTeX XMLCite \textit{J. Shen} et al., Commun. Nonlinear Sci. Numer. Simul. 78, Article ID 104877, 16 p. (2019; Zbl 1473.35515) Full Text: DOI
Qiu, Deqin; Cheng, Wenguang The \(n\)th-order degenerate breather solution for the Kundu-Eckhaus equation. (English) Zbl 1423.81069 Appl. Math. Lett. 98, 13-21 (2019). MSC: 81Q05 35Q55 35C08 35C07 35P30 PDFBibTeX XMLCite \textit{D. Qiu} and \textit{W. Cheng}, Appl. Math. Lett. 98, 13--21 (2019; Zbl 1423.81069) Full Text: DOI
Yang, Xiao; Han, Jiayan Algebro-geometric solutions of the Dirac hierarchy. (English. Russian original) Zbl 1386.81074 Theor. Math. Phys. 193, No. 3, 1894-1904 (2017); translation from Teor. Mat. Fiz. 193, No. 3, 563-574 (2017). MSC: 81Q05 81R20 37K10 14H70 PDFBibTeX XMLCite \textit{X. Yang} and \textit{J. Han}, Theor. Math. Phys. 193, No. 3, 1894--1904 (2017; Zbl 1386.81074); translation from Teor. Mat. Fiz. 193, No. 3, 563--574 (2017) Full Text: DOI
Ren, Bo Interaction solutions for supersymmetric mKdV-B equation. (English) Zbl 07809327 Chin. J. Phys., Taipei 54, No. 4, 628-634 (2016). MSC: 81T60 35Q53 35C07 PDFBibTeX XMLCite \textit{B. Ren}, Chin. J. Phys., Taipei 54, No. 4, 628--634 (2016; Zbl 07809327) Full Text: DOI arXiv
Popowicz, Z. Double extended cubic peakon equation. (English) Zbl 1342.37065 Phys. Lett., A 379, No. 18-19, 1240-1245 (2015). MSC: 37K05 37K10 37N20 81R12 37K40 PDFBibTeX XMLCite \textit{Z. Popowicz}, Phys. Lett., A 379, No. 18--19, 1240--1245 (2015; Zbl 1342.37065) Full Text: DOI arXiv
Li, Xuemei A super extension of Heisenberg hierarchy. (English) Zbl 1305.81079 Int. J. Theor. Phys. 53, No. 11, 3765-3773 (2014). MSC: 81Q05 81Q60 PDFBibTeX XMLCite \textit{X. Li}, Int. J. Theor. Phys. 53, No. 11, 3765--3773 (2014; Zbl 1305.81079) Full Text: DOI
Gao, Xiao Nan; Lou, S. Y.; Tang, Xiao Yan Bosonization, singularity analysis, nonlocal symmetry reductions and exact solutions of supersymmetric KdV equation. (English) Zbl 1342.81583 J. High Energy Phys. 2013, No. 5, Paper No. 029, 028 p. (2013). MSC: 81T60 35Q40 35Q53 35A30 35C05 PDFBibTeX XMLCite \textit{X. N. Gao} et al., J. High Energy Phys. 2013, No. 5, Paper No. 029, 028 p. (2013; Zbl 1342.81583) Full Text: DOI arXiv
Han, Jingwei; Yu, Jing; He, Jingsong A matrix Lie superalgebra and its applications. (English) Zbl 1292.81064 Adv. Math. Phys. 2013, Article ID 416520, 10 p. (2013). MSC: 81Q60 81Q05 17A70 PDFBibTeX XMLCite \textit{J. Han} et al., Adv. Math. Phys. 2013, Article ID 416520, 10 p. (2013; Zbl 1292.81064) Full Text: DOI
Du, Dianlou; Geng, Xue On the relationship between the classical Dicke-Jaynes-Cummings-Gaudin model and the nonlinear Schrödinger equation. (English) Zbl 1282.81074 J. Math. Phys. 54, No. 5, 053510, 18 p. (2013). MSC: 81Q05 81V80 35Q55 70H20 PDFBibTeX XMLCite \textit{D. Du} and \textit{X. Geng}, J. Math. Phys. 54, No. 5, 053510, 18 p. (2013; Zbl 1282.81074) Full Text: DOI
Wei, Hanyu; Xia, Tiecheng Self-consistent sources and conservation laws for a super Broer-Kaup-Kupershmidt equation hierarchy. (English) Zbl 1271.37047 J. Appl. Math. 2013, Article ID 913758, 6 p. (2013). MSC: 37K10 81R12 17B80 PDFBibTeX XMLCite \textit{H. Wei} and \textit{T. Xia}, J. Appl. Math. 2013, Article ID 913758, 6 p. (2013; Zbl 1271.37047) Full Text: DOI
Ji, Jie; Sun, Ye-Peng; Zhang, Jian-Bing Integrable couplings of super Kaup-Newell equation hierarchy. (English) Zbl 1260.37034 Int. J. Mod. Phys. B 26, No. 30, Article ID 1250180, 13 p. (2012). MSC: 37K10 81Q60 PDFBibTeX XMLCite \textit{J. Ji} et al., Int. J. Mod. Phys. B 26, No. 30, Article ID 1250180, 13 p. (2012; Zbl 1260.37034) Full Text: DOI
Fan, E.-G.; Chow, K.-W.; Li, J.-H. On doubly periodic standing wave solutions of the coupled Higgs field equation. (English) Zbl 1241.35165 Stud. Appl. Math. 128, No. 1, 86-105 (2012). MSC: 35Q40 35C07 33C45 81Q05 PDFBibTeX XMLCite \textit{E. G. Fan} et al., Stud. Appl. Math. 128, No. 1, 86--105 (2012; Zbl 1241.35165) Full Text: DOI
Hon, Y. C.; Fan, Engui Super quasiperiodic wave solutions and asymptotic analysis for \(\mathcal N=1\) supersymmetric KdV-type equations. (English. Russian original) Zbl 1274.35326 Theor. Math. Phys. 166, No. 3, 317-336 (2011); translation from Teor. Mat. Fiz. 166, No. 3, 366-387 (2011). MSC: 35Q53 14K25 81Q60 35C08 35C07 PDFBibTeX XMLCite \textit{Y. C. Hon} and \textit{E. Fan}, Theor. Math. Phys. 166, No. 3, 317--336 (2011; Zbl 1274.35326); translation from Teor. Mat. Fiz. 166, No. 3, 366--387 (2011) Full Text: DOI
Fan, E. G.; Hon, Y. C. Quasiperiodic wave solutions of \({\mathcal N}=2\) supersymmetric KdV equation in superspace. (English) Zbl 1202.81035 Stud. Appl. Math. 125, No. 4, 343-371 (2010). MSC: 81Q05 35Q53 81Q60 14K25 PDFBibTeX XMLCite \textit{E. G. Fan} and \textit{Y. C. Hon}, Stud. Appl. Math. 125, No. 4, 343--371 (2010; Zbl 1202.81035) Full Text: DOI
Fan, Engui; Yang, Zonghang A lattice hierarchy with a free function and its reductions to the Ablowitz-Ladik and Volterra hierarchies. (English) Zbl 1161.81359 Int. J. Theor. Phys. 48, No. 1, 1-9 (2009). MSC: 81Q10 37K10 PDFBibTeX XMLCite \textit{E. Fan} and \textit{Z. Yang}, Int. J. Theor. Phys. 48, No. 1, 1--9 (2009; Zbl 1161.81359) Full Text: DOI
Zhou, Ruguang Integrable Rosochatius deformations of the restricted soliton flows. (English) Zbl 1152.81648 J. Math. Phys. 48, No. 10, 103510, 17 p. (2007). MSC: 37K10 35Q53 81R12 PDFBibTeX XMLCite \textit{R. Zhou}, J. Math. Phys. 48, No. 10, 103510, 17 p. (2007; Zbl 1152.81648) Full Text: DOI
Hu, Xingbiao; Tam, Hon-Wah Some recent results on integrable bilinear equations. (English) Zbl 0981.37032 J. Nonlinear Math. Phys. 8, Suppl., 149-155 (2001). MSC: 37K60 39A12 81R12 PDFBibTeX XMLCite \textit{X. Hu} and \textit{H.-W. Tam}, J. Nonlinear Math. Phys. 8, 149--155 (2001; Zbl 0981.37032) Full Text: DOI