Boukarou, Aissa; Zennir, Khaled; Guerbati, Kaddour; Georgiev, Svetlin G. Well-posedness of the Cauchy problem of Ostrovsky equation in analytic Gevrey spaces and time regularity. (English) Zbl 07343270 Rend. Circ. Mat. Palermo (2) 70, No. 1, 349-364 (2021). MSC: 35E15 35Q53 35B65 35C07 PDF BibTeX XML Cite \textit{A. Boukarou} et al., Rend. Circ. Mat. Palermo (2) 70, No. 1, 349--364 (2021; Zbl 07343270) Full Text: DOI
Egorova, Iryna; Michor, Johanna How discrete spectrum and resonances influence the asymptotics of the Toda shock wave. (English) Zbl 07342623 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 045, 32 p. (2021). MSC: 37K40 35Q53 37K45 35Q15 PDF BibTeX XML Cite \textit{I. Egorova} and \textit{J. Michor}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 045, 32 p. (2021; Zbl 07342623) Full Text: DOI
Klein, Christian; Roudenko, Svetlana; Stoilov, Nikola Numerical study of Zakharov-Kuznetsov equations in two dimensions. (English) Zbl 07341356 J. Nonlinear Sci. 31, No. 2, Paper No. 26, 29 p. (2021). MSC: 35Q53 37K40 37K45 65N35 65T50 65L04 PDF BibTeX XML Cite \textit{C. Klein} et al., J. Nonlinear Sci. 31, No. 2, Paper No. 26, 29 p. (2021; Zbl 07341356) Full Text: DOI
Geng, Xianguo; Chen, Mingming; Wang, Kedong Application of the nonlinear steepest descent method to the coupled Sasa-Satsuma equation. (English) Zbl 07340222 East Asian J. Appl. Math. 11, No. 1, 181-206 (2021). MSC: 35Q53 35B40 35Q55 PDF BibTeX XML Cite \textit{X. Geng} et al., East Asian J. Appl. Math. 11, No. 1, 181--206 (2021; Zbl 07340222) Full Text: DOI
Zhou, Xin-Mei; Tian, Shou-Fu; Yang, Jin-Jie; Mao, Jin-Jin The Riemann-Hilbert approach and \(N\)-soliton solutions of a four-component nonlinear Schrödinger equation. (English) Zbl 07340220 East Asian J. Appl. Math. 11, No. 1, 143-163 (2021). MSC: 35Q51 35Q53 35C99 68W30 74J35 PDF BibTeX XML Cite \textit{X.-M. Zhou} et al., East Asian J. Appl. Math. 11, No. 1, 143--163 (2021; Zbl 07340220) Full Text: DOI
Coclite, Giuseppe Maria; di Ruvo, Lorenzo Well-posedness of the classical solutions for a Kawahara-Korteweg-de Vries-type equation. (English) Zbl 07340084 J. Evol. Equ. 21, No. 1, 625-651 (2021). MSC: 35Q53 35G25 35K55 PDF BibTeX XML Cite \textit{G. M. Coclite} and \textit{L. di Ruvo}, J. Evol. Equ. 21, No. 1, 625--651 (2021; Zbl 07340084) Full Text: DOI
Li, Ze; Wang, Ming Observability inequality at two time points for KdV equations. (English) Zbl 07337198 SIAM J. Math. Anal. 53, No. 2, 1944-1957 (2021). MSC: 35Q53 39A12 PDF BibTeX XML Cite \textit{Z. Li} and \textit{M. Wang}, SIAM J. Math. Anal. 53, No. 2, 1944--1957 (2021; Zbl 07337198) Full Text: DOI
Capistrano-Filho, Roberto de A.; Gomes, Milena Monique de S. Well-posedness and controllability of Kawahara equation in weighted Sobolev spaces. (English) Zbl 07335757 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 207, Article ID 112267, 24 p. (2021). MSC: 35Q53 93B05 37K10 PDF BibTeX XML Cite \textit{R. de A. Capistrano-Filho} and \textit{M. M. de S. Gomes}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 207, Article ID 112267, 24 p. (2021; Zbl 07335757) Full Text: DOI
Gassot, Louise The third order Benjamin-Ono equation on the torus: well-posedness, traveling waves and stability. (English) Zbl 07335703 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 3, 815-840 (2021). MSC: 37K10 35Q53 PDF BibTeX XML Cite \textit{L. Gassot}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 3, 815--840 (2021; Zbl 07335703) Full Text: DOI
Ge, Chuanfang; Geng, Jiansheng; Lou, Zhaowei KAM theory for the reversible perturbations of 2D linear beam equations. (English) Zbl 07333899 Math. Z. 297, No. 3-4, 1693-1731 (2021). MSC: 37K55 35B15 35Q72 35Q53 35B25 PDF BibTeX XML Cite \textit{C. Ge} et al., Math. Z. 297, No. 3--4, 1693--1731 (2021; Zbl 07333899) Full Text: DOI
Kang, Wen; Baudouin, Lucie; Fridman, Emilia Event-triggered control of Korteweg-de Vries equation under averaged measurements. (English) Zbl 07332325 Automatica 123, Article ID 109315, 11 p. (2021). MSC: 93C65 93C20 35Q53 93D23 93D15 PDF BibTeX XML Cite \textit{W. Kang} et al., Automatica 123, Article ID 109315, 11 p. (2021; Zbl 07332325) Full Text: DOI
Mi, Yongsheng; Huang, Daiwen Well-posedness and continuity properties of the new shallow-water model with cubic nonlinearity. (English) Zbl 07332088 Ann. Mat. Pura Appl. (4) 200, No. 1, 1-34 (2021). MSC: 35Q53 PDF BibTeX XML Cite \textit{Y. Mi} and \textit{D. Huang}, Ann. Mat. Pura Appl. (4) 200, No. 1, 1--34 (2021; Zbl 07332088) Full Text: DOI
Valet, Frédéric Asymptotic \(K\)-soliton-like solutions of the Zakharov-Kuznetsov type equations. (English) Zbl 07331120 Trans. Am. Math. Soc. 374, No. 5, 3177-3213 (2021). MSC: 35Q53 35Q35 35B40 37K40 35C08 PDF BibTeX XML Cite \textit{F. Valet}, Trans. Am. Math. Soc. 374, No. 5, 3177--3213 (2021; Zbl 07331120) Full Text: DOI
Ermakov, Andrei Development of rigorous methods in fluid mechanics and theory of water waves. (Abstract of thesis). (English) Zbl 07330730 Bull. Aust. Math. Soc. 103, No. 2, 350-352 (2021). MSC: 76B15 76B25 35Q35 35Q51 PDF BibTeX XML Cite \textit{A. Ermakov}, Bull. Aust. Math. Soc. 103, No. 2, 350--352 (2021; Zbl 07330730) Full Text: DOI
Jin, Kexin; Ma, Xiao Cancellations of resonances and long time dynamics of cubic Schrödinger equation on \(\mathbb{T}\). (English) Zbl 07327495 Commun. Math. Phys. 381, No. 3, 1309-1368 (2021). MSC: 35Q55 35Q53 35A35 35B30 35B34 PDF BibTeX XML Cite \textit{K. Jin} and \textit{X. Ma}, Commun. Math. Phys. 381, No. 3, 1309--1368 (2021; Zbl 07327495) Full Text: DOI
Chen, Mingjuan; Guo, Boling; Han, Lijia Global well-posedness and inviscid limit for the generalized Benjamin-Ono-Burgers equation. (English) Zbl 07327340 Appl. Anal. 100, No. 4, 804-818 (2021). MSC: 35Q53 35Q35 35A01 35A02 44A15 76B15 PDF BibTeX XML Cite \textit{M. Chen} et al., Appl. Anal. 100, No. 4, 804--818 (2021; Zbl 07327340) Full Text: DOI
Berti, Massimiliano; Kappeler, Thomas; Montalto, Riccardo Large KAM tori for quasi-linear perturbations of KdV. (English) Zbl 07326812 Arch. Ration. Mech. Anal. 239, No. 3, 1395-1500 (2021). MSC: 35Q53 35B25 35B09 37K10 35R09 PDF BibTeX XML Cite \textit{M. Berti} et al., Arch. Ration. Mech. Anal. 239, No. 3, 1395--1500 (2021; Zbl 07326812) Full Text: DOI
Rybkin, Alexei The effect of a positive bound state on the KdV solution: a case study. (English) Zbl 07324151 Nonlinearity 34, No. 2, 1238-1261 (2021). MSC: 35Q53 35Q55 35A09 35P10 34L40 37K15 47B35 PDF BibTeX XML Cite \textit{A. Rybkin}, Nonlinearity 34, No. 2, 1238--1261 (2021; Zbl 07324151) Full Text: DOI
Chen, Fa; Zhang, Hai-Qiang Periodic travelling waves and rogue waves for the higher-order modified Korteweg-de Vries equation. (English) Zbl 1456.35176 Commun. Nonlinear Sci. Numer. Simul. 97, Article ID 105767, 11 p. (2021). MSC: 35Q53 35Q35 76B15 PDF BibTeX XML Cite \textit{F. Chen} and \textit{H.-Q. Zhang}, Commun. Nonlinear Sci. Numer. Simul. 97, Article ID 105767, 11 p. (2021; Zbl 1456.35176) Full Text: DOI
Gürses, Metin; Pekcan, Aslı \((2+1)\)-dimensional AKNS \((-N)\) systems. II. (English) Zbl 07323679 Commun. Nonlinear Sci. Numer. Simul. 97, Article ID 105736, 17 p. (2021). MSC: 35C08 35Q53 35Q55 PDF BibTeX XML Cite \textit{M. Gürses} and \textit{A. Pekcan}, Commun. Nonlinear Sci. Numer. Simul. 97, Article ID 105736, 17 p. (2021; Zbl 07323679) Full Text: DOI
Hyder, Abd-Allah; Soliman, Ahmed H. An extended Kudryashov technique for solving stochastic nonlinear models with generalized conformable derivatives. (English) Zbl 07323673 Commun. Nonlinear Sci. Numer. Simul. 97, Article ID 105730, 14 p. (2021). MSC: 60H15 35Q53 65M70 PDF BibTeX XML Cite \textit{A.-A. Hyder} and \textit{A. H. Soliman}, Commun. Nonlinear Sci. Numer. Simul. 97, Article ID 105730, 14 p. (2021; Zbl 07323673) Full Text: DOI
Liu, Nan; Guo, Boling Painlevé-type asymptotics of an extended modified KdV equation in transition regions. (English) Zbl 07319431 J. Differ. Equations 280, 203-235 (2021). MSC: 37K40 35Q53 37J65 34M55 PDF BibTeX XML Cite \textit{N. Liu} and \textit{B. Guo}, J. Differ. Equations 280, 203--235 (2021; Zbl 07319431) Full Text: DOI
Pu, Xueke; Xi, Xiaoyu Derivation of the mKdV equation from the Euler-Poisson system at critical densities. (English) Zbl 07319402 J. Differ. Equations 282, 446-480 (2021). MSC: 35Q53 35Q35 76X05 PDF BibTeX XML Cite \textit{X. Pu} and \textit{X. Xi}, J. Differ. Equations 282, 446--480 (2021; Zbl 07319402) Full Text: DOI
Büyükaşık, Şirin A.; Bozacı, Aylin Dynamical properties of generalized traveling waves of exactly solvable forced Burgers equations with variable coefficients. (English) Zbl 07319175 Commun. Nonlinear Sci. Numer. Simul. 96, Article ID 105682, 21 p. (2021). MSC: 35Q53 35C05 35K15 35C07 35A08 PDF BibTeX XML Cite \textit{Ş. A. Büyükaşık} and \textit{A. Bozacı}, Commun. Nonlinear Sci. Numer. Simul. 96, Article ID 105682, 21 p. (2021; Zbl 07319175) Full Text: DOI
Pei, Zhi-Jie; Zhang, Hai-Qiang Higher-order rational soliton solutions for the fifth-order modified KdV and KdV equations. (English) Zbl 1455.35226 Int. J. Mod. Phys. B 35, No. 3, Article ID 2150036, 14 p. (2021). MSC: 35Q53 35C08 35A22 PDF BibTeX XML Cite \textit{Z.-J. Pei} and \textit{H.-Q. Zhang}, Int. J. Mod. Phys. B 35, No. 3, Article ID 2150036, 14 p. (2021; Zbl 1455.35226) Full Text: DOI
Kumar, Sachin; Niwas, Monika; Hamid, Ihsanullah Lie symmetry analysis for obtaining exact soliton solutions of generalized Camassa-Holm-Kadomtsev-Petviashvili equation. (English) Zbl 1455.35222 Int. J. Mod. Phys. B 35, No. 2, Article ID 2150028, 24 p. (2021). MSC: 35Q53 35C08 35C05 PDF BibTeX XML Cite \textit{S. Kumar} et al., Int. J. Mod. Phys. B 35, No. 2, Article ID 2150028, 24 p. (2021; Zbl 1455.35222) Full Text: DOI
Lu, Dianchen; Suleman, Muhammad; Ramzan, Muhammad; Ul Rahman, Jamshaid Numerical solutions of coupled nonlinear fractional KdV equations using He’s fractional calculus. (English) Zbl 1455.35223 Int. J. Mod. Phys. B 35, No. 2, Article ID 2150023, 14 p. (2021). MSC: 35Q53 35R11 35A22 PDF BibTeX XML Cite \textit{D. Lu} et al., Int. J. Mod. Phys. B 35, No. 2, Article ID 2150023, 14 p. (2021; Zbl 1455.35223) Full Text: DOI
Senol, Mehmet; Akinyemi, Lanre; Ata, Ayşe; Iyiola, Olaniyi S. Approximate and generalized solutions of conformable type Coudrey-Dodd-Gibbon-Sawada-Kotera equation. (English) Zbl 1455.35228 Int. J. Mod. Phys. B 35, No. 2, Article ID 2150021, 17 p. (2021). MSC: 35Q53 35R11 35A25 PDF BibTeX XML Cite \textit{M. Senol} et al., Int. J. Mod. Phys. B 35, No. 2, Article ID 2150021, 17 p. (2021; Zbl 1455.35228) Full Text: DOI
Ma, Wen-Xiu Riemann-Hilbert problems and soliton solutions of nonlocal real reverse-spacetime mKdV equations. (English) Zbl 07318550 J. Math. Anal. Appl. 498, No. 2, Article ID 124980, 14 p. (2021). MSC: 35Q15 35Q53 45K05 37K15 35C08 37K10 PDF BibTeX XML Cite \textit{W.-X. Ma}, J. Math. Anal. Appl. 498, No. 2, Article ID 124980, 14 p. (2021; Zbl 07318550) Full Text: DOI
Wang, Kedong; Chen, Mingming; Li, Ruomeng; Geng, Xianguo An integrable generalized Korteweg-de Vries equation with pseudo-peakons. (English) Zbl 07317513 Appl. Math. Lett. 115, Article ID 106942, 9 p. (2021). MSC: 35Q53 35C08 35B07 35B09 37K10 PDF BibTeX XML Cite \textit{K. Wang} et al., Appl. Math. Lett. 115, Article ID 106942, 9 p. (2021; Zbl 07317513) Full Text: DOI
Figueira, Renata O.; Himonas, A. Alexandrou Lower bounds on the radius of analyticity for a system of modified KdV equations. (English) Zbl 07317502 J. Math. Anal. Appl. 497, No. 2, Article ID 124917, 17 p. (2021). MSC: 35Q53 35A01 35A02 PDF BibTeX XML Cite \textit{R. O. Figueira} and \textit{A. A. Himonas}, J. Math. Anal. Appl. 497, No. 2, Article ID 124917, 17 p. (2021; Zbl 07317502) Full Text: DOI
Muñoz, Claudio; Ponce, Gustavo; Saut, Jean-Claude On the long time behavior of solutions to the intermediate long wave equation. (English) Zbl 07317437 SIAM J. Math. Anal. 53, No. 1, 1029-1048 (2021). MSC: 37K40 37K15 37K10 35Q53 35Q51 35C07 PDF BibTeX XML Cite \textit{C. Muñoz} et al., SIAM J. Math. Anal. 53, No. 1, 1029--1048 (2021; Zbl 07317437) Full Text: DOI
Zhou, Deqin Non-homogeneous initial-boundary-value problem of the fifth-order Korteweg-de Vries equation with a nonlinear dispersive term. (English) Zbl 07317179 J. Math. Anal. Appl. 497, No. 1, Article ID 124848, 29 p. (2021). MSC: 35Q53 35A01 35A02 76B15 PDF BibTeX XML Cite \textit{D. Zhou}, J. Math. Anal. Appl. 497, No. 1, Article ID 124848, 29 p. (2021; Zbl 07317179) Full Text: DOI
Zhang, Guofei; He, Jingsong; Wang, Lihong; Mihalache, Dumitru Surfaces of revolution associated with the kink-type solutions of the SIdV equation. (English) Zbl 07315199 Differ. Geom. Appl. 74, Article ID 101711, 11 p. (2021). MSC: 35Q53 35C08 37K10 37K35 PDF BibTeX XML Cite \textit{G. Zhang} et al., Differ. Geom. Appl. 74, Article ID 101711, 11 p. (2021; Zbl 07315199) Full Text: DOI
Pilod, Didier; Saut, Jean-Claude; Selberg, Sigmund; Tesfahun, Achenef Dispersive estimates for full dispersion KP equations. (English) Zbl 07312808 J. Math. Fluid Mech. 23, No. 1, Paper No. 25, 25 p. (2021). MSC: 35B45 35Q35 35Q53 42B20 PDF BibTeX XML Cite \textit{D. Pilod} et al., J. Math. Fluid Mech. 23, No. 1, Paper No. 25, 25 p. (2021; Zbl 07312808) Full Text: DOI
Zhou, Yanjie; Zhang, Yanan; Liang, Ye; Luo, Zhendong A reduced-order extrapolated model based on splitting implicit finite difference scheme and proper orthogonal decomposition for the fourth-order nonlinear Rosenau equation. (English) Zbl 07311186 Appl. Numer. Math. 162, 192-200 (2021). MSC: 35Q53 35G20 65M06 65M12 65M99 65B05 PDF BibTeX XML Cite \textit{Y. Zhou} et al., Appl. Numer. Math. 162, 192--200 (2021; Zbl 07311186) Full Text: DOI
Fu, Yayun; Cai, Wenjun; Wang, Yushun A linearly implicit structure-preserving scheme for the fractional sine-Gordon equation based on the IEQ approach. (English) Zbl 07310780 Appl. Numer. Math. 160, 368-385 (2021). MSC: 65M06 65N06 65M12 65T50 35R11 35Q53 PDF BibTeX XML Cite \textit{Y. Fu} et al., Appl. Numer. Math. 160, 368--385 (2021; Zbl 07310780) Full Text: DOI
Xing, Zhiyong; Wen, Liping; Xiao, Hanyu A fourth-order conservative difference scheme for the Riesz space-fractional Sine-Gordon equations and its fast implementation. (English) Zbl 07310754 Appl. Numer. Math. 159, 221-238 (2021). MSC: 65M06 65M12 65H10 65T50 15B05 35R11 35Q53 PDF BibTeX XML Cite \textit{Z. Xing} et al., Appl. Numer. Math. 159, 221--238 (2021; Zbl 07310754) Full Text: DOI
Linares, Felipe; Ramos, João P. G. Maximal function estimates and local well-posedness for the generalized Zakharov-Kuznetsov equation. (English) Zbl 1457.42031 SIAM J. Math. Anal. 53, No. 1, 914-936 (2021). MSC: 42B25 35Q53 42B37 PDF BibTeX XML Cite \textit{F. Linares} and \textit{J. P. G. Ramos}, SIAM J. Math. Anal. 53, No. 1, 914--936 (2021; Zbl 1457.42031) Full Text: DOI
Gu, Jiawen; Zhou, Deqin Local controllability and stability of the periodic fifth-order KdV equation with a nonlinear dispersive term. (English) Zbl 07309706 J. Math. Anal. Appl. 494, No. 1, Article ID 124635, 17 p. (2021). Reviewer: Krishnan Balachandran (Coimbatore) MSC: 93B05 93D23 93C20 35Q53 PDF BibTeX XML Cite \textit{J. Gu} and \textit{D. Zhou}, J. Math. Anal. Appl. 494, No. 1, Article ID 124635, 17 p. (2021; Zbl 07309706) Full Text: DOI
Linares, F.; Pastor, A.; Drumond Silva, J. Dispersive blow-up for solutions of the Zakharov-Kuznetsov equation. (English) Zbl 07307583 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 2, 281-300 (2021). MSC: 35Q53 35B44 PDF BibTeX XML Cite \textit{F. Linares} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 2, 281--300 (2021; Zbl 07307583) Full Text: DOI
Brandes, J.; Parsell, S. T.; Poulias, C.; Shakan, G.; Vaughan, R. C. On generating functions in additive number theory. II: Lower-order terms and applications to PDEs. (English) Zbl 07307512 Math. Ann. 379, No. 1-2, 347-376 (2021). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11L15 35Q53 35Q55 PDF BibTeX XML Cite \textit{J. Brandes} et al., Math. Ann. 379, No. 1--2, 347--376 (2021; Zbl 07307512) Full Text: DOI
Jia, Ting-Ting; Gao, Yi-Tian; Yu, Xin; Li, Liu-Qing Lax pairs, infinite conservation laws, Darboux transformation, bilinear forms and solitonic interactions for a combined Calogero-Bogoyavlenskii-Schiff-type equation. (English) Zbl 07307167 Appl. Math. Lett. 114, Article ID 106702, 10 p. (2021). MSC: 35Q53 35Q51 35C08 37K35 76X05 PDF BibTeX XML Cite \textit{T.-T. Jia} et al., Appl. Math. Lett. 114, Article ID 106702, 10 p. (2021; Zbl 07307167) Full Text: DOI
Wang, Xueru; Zhu, Junyi; Qiao, Zhijun New solutions to the differential-difference KP equation. (English) Zbl 07307146 Appl. Math. Lett. 113, Article ID 106836, 8 p. (2021). MSC: 35B06 35Q53 35R09 PDF BibTeX XML Cite \textit{X. Wang} et al., Appl. Math. Lett. 113, Article ID 106836, 8 p. (2021; Zbl 07307146) Full Text: DOI
Erbay, Husnuata A.; Erbay, Saadet; Erkip, Albert A semi-discrete numerical method for convolution-type unidirectional wave equations. (English) Zbl 1456.35180 J. Comput. Appl. Math. 387, Article ID 112496, 14 p. (2021). MSC: 35Q53 35C08 65M12 65M15 65L06 65M20 65Z05 PDF BibTeX XML Cite \textit{H. A. Erbay} et al., J. Comput. Appl. Math. 387, Article ID 112496, 14 p. (2021; Zbl 1456.35180) Full Text: DOI
Eidnes, Sølve; Li, Lu; Sato, Shun Linearly implicit structure-preserving schemes for Hamiltonian systems. (English) Zbl 1456.65063 J. Comput. Appl. Math. 387, Article ID 112489, 13 p. (2021). MSC: 65M06 65P10 35Q53 PDF BibTeX XML Cite \textit{S. Eidnes} et al., J. Comput. Appl. Math. 387, Article ID 112489, 13 p. (2021; Zbl 1456.65063) Full Text: DOI
Gaillard, Pierre Degenerate Riemann theta functions, Fredholm and Wronskian representations of the solutions to the KdV equation and the degenerate rational case. (English) Zbl 07303908 J. Geom. Phys. 161, Article ID 104059, 13 p. (2021). MSC: 35Q53 PDF BibTeX XML Cite \textit{P. Gaillard}, J. Geom. Phys. 161, Article ID 104059, 13 p. (2021; Zbl 07303908) Full Text: DOI
Hryniv, Rostyslav; Melnyk, Bohdan; Mykytyuk, Yaroslav Inverse scattering for reflectionless Schrödinger operators with integrable potentials and generalized soliton solutions for the KdV equation. (English) Zbl 07303662 Ann. Henri Poincaré 22, No. 2, 487-527 (2021). MSC: 47A40 34L25 34L40 35C08 81U40 37K15 37K40 37K60 37J35 37K10 PDF BibTeX XML Cite \textit{R. Hryniv} et al., Ann. Henri Poincaré 22, No. 2, 487--527 (2021; Zbl 07303662) Full Text: DOI
Benzoni-Gavage, Sylvie; Mietka, Colin; Rodrigues, Luis Miguel Modulated equations of Hamiltonian PDEs and dispersive shocks. (English) Zbl 1457.35052 Nonlinearity 34, No. 1, 578-641 (2021). Reviewer: Piotr Biler (Wrocław) MSC: 35Q53 35Q35 35C07 35C08 35B10 35B40 37K45 PDF BibTeX XML Cite \textit{S. Benzoni-Gavage} et al., Nonlinearity 34, No. 1, 578--641 (2021; Zbl 1457.35052) Full Text: DOI
Ahn, Jaeseop; Kim, Jimyeong; Seo, Ihyeok Lower bounds on the radius of spatial analyticity for the Kawahara equation. (English) Zbl 1457.32021 Anal. Math. Phys. 11, No. 1, Paper No. 28, 22 p. (2021). MSC: 32D15 35Q53 PDF BibTeX XML Cite \textit{J. Ahn} et al., Anal. Math. Phys. 11, No. 1, Paper No. 28, 22 p. (2021; Zbl 1457.32021) Full Text: DOI
Liu, Jian-Gen; Yang, Xiao-Jun; Feng, Yi-Ying; Cui, Ping; Geng, Lu-Lu On integrability of the higher dimensional time fractional KdV-type equation. (English) Zbl 07299633 J. Geom. Phys. 160, Article ID 104000, 16 p. (2021). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 37K10 26A33 35Q53 35R11 PDF BibTeX XML Cite \textit{J.-G. Liu} et al., J. Geom. Phys. 160, Article ID 104000, 16 p. (2021; Zbl 07299633) Full Text: DOI
Kinoshita, Shinya; Schippa, Robert Loomis-Whitney-type inequalities and low regularity well-posedness of the periodic Zakharov-Kuznetsov equation. (English) Zbl 07298638 J. Funct. Anal. 280, No. 6, Article ID 108904, 54 p. (2021). MSC: 35Q53 42B37 35A01 35A02 PDF BibTeX XML Cite \textit{S. Kinoshita} and \textit{R. Schippa}, J. Funct. Anal. 280, No. 6, Article ID 108904, 54 p. (2021; Zbl 07298638) Full Text: DOI
Castelli, M.; Doronin, G. Modified and subcritical Zakharov-Kuznetsov equations posed on rectangles. (English) Zbl 1456.35090 J. Differ. Equations 275, 554-580 (2021). MSC: 35G31 35Q53 PDF BibTeX XML Cite \textit{M. Castelli} and \textit{G. Doronin}, J. Differ. Equations 275, 554--580 (2021; Zbl 1456.35090) Full Text: DOI
Koch, Herbert; Liao, Xian Conserved energies for the one dimensional Gross-Pitaevskii equation. (English) Zbl 1455.35236 Adv. Math. 377, Article ID 107467, 84 p. (2021). MSC: 35Q55 35Q53 35A01 35A02 35B65 PDF BibTeX XML Cite \textit{H. Koch} and \textit{X. Liao}, Adv. Math. 377, Article ID 107467, 84 p. (2021; Zbl 1455.35236) Full Text: DOI
Cunha, Alysson; Pastor, Ademir Persistence properties for the dispersion generalized BO-ZK equation in weighted anisotropic Sobolev spaces. (English) Zbl 1455.35034 J. Differ. Equations 274, 1067-1114 (2021). MSC: 35B60 35G25 35A01 35Q53 35R11 PDF BibTeX XML Cite \textit{A. Cunha} and \textit{A. Pastor}, J. Differ. Equations 274, 1067--1114 (2021; Zbl 1455.35034) Full Text: DOI
Novruzov, Emil Construction of peakon-antipeakon solutions and ill-posedness for the b-family of equations. (English) Zbl 1455.35225 J. Differ. Equations 272, 544-559 (2021). MSC: 35Q53 37K10 35R25 PDF BibTeX XML Cite \textit{E. Novruzov}, J. Differ. Equations 272, 544--559 (2021; Zbl 1455.35225) Full Text: DOI
Cen, Dakang; Wang, Zhibo; Mo, Yan Second order difference schemes for time-fractional KdV-Burgers’ equation with initial singularity. (English) Zbl 1453.65210 Appl. Math. Lett. 112, Article ID 106829, 7 p. (2021). MSC: 65M06 65N06 65M12 35R11 26A33 35Q53 PDF BibTeX XML Cite \textit{D. Cen} et al., Appl. Math. Lett. 112, Article ID 106829, 7 p. (2021; Zbl 1453.65210) Full Text: DOI
Zhang, Qifeng; Qin, Yifan; Wang, Xuping; Sun, Zhi-zhong The study of exact and numerical solutions of the generalized viscous Burgers’ equation. (English) Zbl 1453.65240 Appl. Math. Lett. 112, Article ID 106719, 9 p. (2021). MSC: 65M06 65M12 65M15 65J08 35Q53 PDF BibTeX XML Cite \textit{Q. Zhang} et al., Appl. Math. Lett. 112, Article ID 106719, 9 p. (2021; Zbl 1453.65240) Full Text: DOI
Benoudina, Nardjess; Zhang, Yi; Khalique, Chaudry Masood Lie symmetry analysis, optimal system, new solitary wave solutions and conservation laws of the Pavlov equation. (English) Zbl 1454.35318 Commun. Nonlinear Sci. Numer. Simul. 94, Article ID 105560, 19 p. (2021). MSC: 35Q53 35C08 35R03 PDF BibTeX XML Cite \textit{N. Benoudina} et al., Commun. Nonlinear Sci. Numer. Simul. 94, Article ID 105560, 19 p. (2021; Zbl 1454.35318) Full Text: DOI
Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui; Yuan, Yu-Qiang; Zhang, Chen-Rong; Chen, Su-Su Magneto-optical/ferromagnetic-material computation: Bäcklund transformations, bilinear forms and \(N\) solitons for a generalized \((3+1)\)-dimensional variable-coefficient modified Kadomtsev-Petviashvili system. (English) Zbl 1455.35248 Appl. Math. Lett. 111, Article ID 106627, 8 p. (2021). Reviewer: Eric Stachura (Marietta) MSC: 35Q60 35Q53 78A25 78A60 78A40 78A50 76X05 76Q05 76B25 82D40 82D10 74K35 37K35 35C08 68W30 PDF BibTeX XML Cite \textit{X.-Y. Gao} et al., Appl. Math. Lett. 111, Article ID 106627, 8 p. (2021; Zbl 1455.35248) Full Text: DOI
Sakovich, Sergei True and fake Lax pairs: how to distinguish them. (English) Zbl 07344112 Nonlinear Phenom. Complex Syst., Minsk 23, No. 3, 338-341 (2020). MSC: 35Q53 37K10 PDF BibTeX XML Cite \textit{S. Sakovich}, Nonlinear Phenom. Complex Syst., Minsk 23, No. 3, 338--341 (2020; Zbl 07344112) Full Text: DOI
Shan, Min Jie Global well-posedness and global attractor for two-dimensional Zakharov-Kuznetsov equation. (English) Zbl 07343742 Acta Math. Sin., Engl. Ser. 36, No. 9, 969-1000 (2020). MSC: 35Q53 35B41 35A01 35Q35 35B45 PDF BibTeX XML Cite \textit{M. J. Shan}, Acta Math. Sin., Engl. Ser. 36, No. 9, 969--1000 (2020; Zbl 07343742) Full Text: DOI
Boukarou, A.; Zennir, Kh.; Guerbati, K.; Svetlin, G. G. Well-posedness and regularity of the fifth order Kadomtsev-Petviashvili I equation in the analytic Bourgain spaces. (English) Zbl 07343701 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 66, No. 2, 255-272 (2020). MSC: 35E15 35Q53 35B65 35C07 PDF BibTeX XML Cite \textit{A. Boukarou} et al., Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 66, No. 2, 255--272 (2020; Zbl 07343701) Full Text: DOI
Wang, Xin; Li, Jina; Wang, Lei; Wei, Jiao; Guo, Bowen Lump and lump-soliton interaction solutions for an integrable variable coefficient Kadomtsev-Petviashvili equation. (English) Zbl 07341871 Commun. Theor. Phys. 72, No. 3, Article ID 035001, 6 p. (2020). MSC: 35C08 35Q53 35Q51 PDF BibTeX XML Cite \textit{X. Wang} et al., Commun. Theor. Phys. 72, No. 3, Article ID 035001, 6 p. (2020; Zbl 07341871) Full Text: DOI
Ma, Wen-Xiu; Zhang, Yi; Tang, Yaning Symbolic computation of lump solutions to a combined equation involving three types of nonlinear terms. (English) Zbl 07340274 East Asian J. Appl. Math. 10, No. 4, 732-745 (2020). MSC: 35Q51 35Q53 37K40 PDF BibTeX XML Cite \textit{W.-X. Ma} et al., East Asian J. Appl. Math. 10, No. 4, 732--745 (2020; Zbl 07340274) Full Text: DOI
Wu, Xin; Tian, Shou-Fu; Yang, Jin-Jie Riemann-Hilbert approach and \(N\)-soliton solutions for three-component coupled Hirota equations. (English) Zbl 07340273 East Asian J. Appl. Math. 10, No. 4, 717-731 (2020). MSC: 35Q51 35Q53 35C99 68W30 74J35 PDF BibTeX XML Cite \textit{X. Wu} et al., East Asian J. Appl. Math. 10, No. 4, 717--731 (2020; Zbl 07340273) Full Text: DOI
Ma, Hong-Cai; Wu, Han-Fang; Deng, Ai-Ping Novel interaction phenomena of localised waves in the \((2 + 1)\)-dimensional HSI equation. (English) Zbl 07340261 East Asian J. Appl. Math. 10, No. 3, 485-498 (2020). MSC: 35Q51 35Q53 35C99 68W30 74J35 PDF BibTeX XML Cite \textit{H.-C. Ma} et al., East Asian J. Appl. Math. 10, No. 3, 485--498 (2020; Zbl 07340261) Full Text: DOI
Guo, Yantao; Chen, Xueyong Dimension of the global attractor for damped KdV-Burgers equations on \(\mathbb{R}\). (English) Zbl 07339280 Math. Appl. 33, No. 4, 922-928 (2020). MSC: 35B41 35Q53 37L30 PDF BibTeX XML Cite \textit{Y. Guo} and \textit{X. Chen}, Math. Appl. 33, No. 4, 922--928 (2020; Zbl 07339280)
Israwi, Samer Higher order dissipative-dispersive system and application. (English) Zbl 07338974 J. Partial Differ. Equations 33, No. 3, 261-274 (2020). MSC: 35Q53 35B65 PDF BibTeX XML Cite \textit{S. Israwi}, J. Partial Differ. Equations 33, No. 3, 261--274 (2020; Zbl 07338974) Full Text: DOI
Liu, Wei; Fu, Zishuo; Tian, Chen The exact solutions to coupled KdV equations with variable coefficients by auxiliary equation method. (Chinese. English summary) Zbl 07338967 J. Northwest Univ., Nat. Sci. Ed. 50, No. 6, 955-959 (2020). MSC: 35Q53 PDF BibTeX XML Cite \textit{W. Liu} et al., J. Northwest Univ., Nat. Sci. Ed. 50, No. 6, 955--959 (2020; Zbl 07338967) Full Text: DOI
Ren, Xiaojing; Ge, Nannan Soliton solutions of \((3+1)\)-dimensional KP-Boussinesq and BKP-Boussinesq equations. (Chinese. English summary) Zbl 07338966 J. Northwest Univ., Nat. Sci. Ed. 50, No. 6, 950-954 (2020). MSC: 35C08 35Q53 PDF BibTeX XML Cite \textit{X. Ren} and \textit{N. Ge}, J. Northwest Univ., Nat. Sci. Ed. 50, No. 6, 950--954 (2020; Zbl 07338966) Full Text: DOI
Wang, Xuan; Du, Yali; Liang, Yuting Time-dependent global attractor for Berger equation with nonlinear damping. (Chinese. English summary) Zbl 07338808 J. Jilin Univ., Sci. 58, No. 5, 1035-1046 (2020). MSC: 35B41 35Q53 PDF BibTeX XML Cite \textit{X. Wang} et al., J. Jilin Univ., Sci. 58, No. 5, 1035--1046 (2020; Zbl 07338808) Full Text: DOI
Ding, Danping; Liu, Fei Blow-up of solution to the Fornberg-Whitham equation with weak dissipation. (Chinese. English summary) Zbl 07338645 J. Anhui Univ., Nat. Sci. 44, No. 6, 1-7 (2020). MSC: 35B44 35Q53 PDF BibTeX XML Cite \textit{D. Ding} and \textit{F. Liu}, J. Anhui Univ., Nat. Sci. 44, No. 6, 1--7 (2020; Zbl 07338645) Full Text: DOI
Pan, Chenrong; Chen, Songlin Nonlinear characteristics of multi-wave propagation in Klein-Gordon wave equation. (Chinese. English summary) Zbl 07338535 Chin. J. Comput. Mech. 37, No. 5, 646-650 (2020). MSC: 35L05 35Q53 PDF BibTeX XML Cite \textit{C. Pan} and \textit{S. Chen}, Chin. J. Comput. Mech. 37, No. 5, 646--650 (2020; Zbl 07338535) Full Text: DOI
Tian, Shoufu On the behavior of the solution of a weakly dissipative modified two-component Dullin-Gottwald-Holm system. (Chinese. English summary) Zbl 07338368 Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 5, 1204-1223 (2020). MSC: 35Q53 35L05 35B44 PDF BibTeX XML Cite \textit{S. Tian}, Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 5, 1204--1223 (2020; Zbl 07338368)
Yan, J. L.; Zheng, L. H.; Zhu, L.; Lu, F. Q. Linearly implicit energy-preserving Fourier pseudospectral schemes for the complex modified Korteweg-de Vries equation. (English) Zbl 07338136 ANZIAM J. 62, No. 3, 256-273 (2020). MSC: 65M22 65M20 65M70 65L05 PDF BibTeX XML Cite \textit{J. L. Yan} et al., ANZIAM J. 62, No. 3, 256--273 (2020; Zbl 07338136) Full Text: DOI
Carvajal, Xavier A remark on the local well-posedness for a coupled system of mKdV type equations in \(H^s \times H^k\). (English) Zbl 07332061 Differ. Equ. Appl. 12, No. 4, 443-456 (2020). MSC: 35Q35 35Q53 PDF BibTeX XML Cite \textit{X. Carvajal}, Differ. Equ. Appl. 12, No. 4, 443--456 (2020; Zbl 07332061) Full Text: DOI
Ren, Bo; Lin, Ji; Lou, Zhi-Mei Lumps and their interaction solutions of a (2+1)-dimensional generalized potential Kadomtsev-Petviashvili equation. (English) Zbl 07331964 J. Appl. Anal. Comput. 10, No. 3, 935-945 (2020). MSC: 35Q51 35Q53 37K40 PDF BibTeX XML Cite \textit{B. Ren} et al., J. Appl. Anal. Comput. 10, No. 3, 935--945 (2020; Zbl 07331964) Full Text: DOI
Wang, Hui; Tian, Shou-Fu; Zhang, Tian-Tian; Chen, Yi The breather wave solutions, M-lump solutions and semi-rational solutions to a (2+1)-dimensional generalized Korteweg-de Vries equation. (English) Zbl 07331940 J. Appl. Anal. Comput. 10, No. 1, 118-130 (2020). MSC: 35Q51 35Q53 35C99 PDF BibTeX XML Cite \textit{H. Wang} et al., J. Appl. Anal. Comput. 10, No. 1, 118--130 (2020; Zbl 07331940) Full Text: DOI
Mi, Lufang; Cui, Wenyan; You, Honglian Periodic and quasi-periodic solutions for the complex Swift-Hohenberg equation. (English) Zbl 07331928 J. Appl. Anal. Comput. 10, No. 1, 297-313 (2020). MSC: 37K55 35Q53 PDF BibTeX XML Cite \textit{L. Mi} et al., J. Appl. Anal. Comput. 10, No. 1, 297--313 (2020; Zbl 07331928) Full Text: DOI
Ostermann, Alexander; Su, Chunmei A Lawson-type exponential integrator for the Korteweg-de Vries equation. (English) Zbl 07330062 IMA J. Numer. Anal. 40, No. 4, 2399-2414 (2020). MSC: 65 PDF BibTeX XML Cite \textit{A. Ostermann} and \textit{C. Su}, IMA J. Numer. Anal. 40, No. 4, 2399--2414 (2020; Zbl 07330062) Full Text: DOI
Courtès, Clémentine; Lagoutière, Frédéric; Rousset, Frédéric Error estimates of finite difference schemes for the Korteweg-de Vries equation. (English) Zbl 07330032 IMA J. Numer. Anal. 40, No. 1, 628-685 (2020). MSC: 65M06 65M15 PDF BibTeX XML Cite \textit{C. Courtès} et al., IMA J. Numer. Anal. 40, No. 1, 628--685 (2020; Zbl 07330032) Full Text: DOI
Erbay, H. A.; Erbay, S.; Erkip, A. Numerical computation of solitary wave solutions of the Rosenau equation. (English) Zbl 07328370 Wave Motion 98, Article ID 102618, 10 p. (2020). MSC: 35Q53 65M99 74J35 74S30 PDF BibTeX XML Cite \textit{H. A. Erbay} et al., Wave Motion 98, Article ID 102618, 10 p. (2020; Zbl 07328370) Full Text: DOI
Nascimento, A. C. On special regularity properties of solutions of the Benjamin-Ono-Zakharov-Kuznetsov (BO-ZK) equation. (English) Zbl 07326892 Commun. Pure Appl. Anal. 19, No. 9, 4285-4325 (2020). MSC: 35Q53 35G31 35B65 35A01 35A02 PDF BibTeX XML Cite \textit{A. C. Nascimento}, Commun. Pure Appl. Anal. 19, No. 9, 4285--4325 (2020; Zbl 07326892) Full Text: DOI
Mendez, Argenis J. On the propagation of regularity for solutions of the dispersion generalized Benjamin-Ono equation. (English) Zbl 07324220 Anal. PDE 13, No. 8, 2399-2440 (2020). MSC: 35Q53 35B65 35A01 35A02 PDF BibTeX XML Cite \textit{A. J. Mendez}, Anal. PDE 13, No. 8, 2399--2440 (2020; Zbl 07324220) Full Text: DOI
Treibich, Armando Hyperelliptic \(d\)-tangential covers and \(d \times d\)-matrix KdV elliptic solitons. (English) Zbl 07323423 Int. Math. Res. Not. 2020, No. 23, 9539-9558 (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H40 14H70 35C08 37K40 35Q53 PDF BibTeX XML Cite \textit{A. Treibich}, Int. Math. Res. Not. 2020, No. 23, 9539--9558 (2020; Zbl 07323423) Full Text: DOI
Li, Shenghao; Chen, Min; Zhang, Bing-yu Low regularity solutions of non-homogeneous boundary value problems of a higher order Boussinesq equation in a quarter plane. (English) Zbl 07322797 J. Math. Anal. Appl. 492, No. 1, Article ID 124406, 35 p. (2020). MSC: 35Q35 35Q31 35Q53 76B15 PDF BibTeX XML Cite \textit{S. Li} et al., J. Math. Anal. Appl. 492, No. 1, Article ID 124406, 35 p. (2020; Zbl 07322797) Full Text: DOI
Vinodh, D.; Asokan, R. Multi-soliton, rogue wave and periodic wave solutions of generalized \((2+1)\) dimensional Boussinesq equation. (English) Zbl 07322680 Int. J. Appl. Comput. Math. 6, No. 1, Paper No. 15, 16 p. (2020). MSC: 35Q35 35Q51 35Q53 76B15 76B25 PDF BibTeX XML Cite \textit{D. Vinodh} and \textit{R. Asokan}, Int. J. Appl. Comput. Math. 6, No. 1, Paper No. 15, 16 p. (2020; Zbl 07322680) Full Text: DOI
Ahmad, Hijaz; Seadawy, Aly R.; Khan, Tufail A. Study on numerical solution of dispersive water wave phenomena by using a reliable modification of variational iteration algorithm. (English) Zbl 07318085 Math. Comput. Simul. 177, 13-23 (2020). MSC: 76B 76M PDF BibTeX XML Cite \textit{H. Ahmad} et al., Math. Comput. Simul. 177, 13--23 (2020; Zbl 07318085) Full Text: DOI
Li, Jibin; Han, Maoan Exact peakon solutions given by the generalized hyperbolic functions for some nonlinear wave equations. (English) Zbl 07315435 J. Appl. Anal. Comput. 10, No. 4, 1708-1719 (2020). MSC: 35C07 35Q53 35Q55 34A34 37L45 PDF BibTeX XML Cite \textit{J. Li} and \textit{M. Han}, J. Appl. Anal. Comput. 10, No. 4, 1708--1719 (2020; Zbl 07315435) Full Text: DOI
Feng, Wen; Stanislavova, Milena On the spectral stability of standing waves of nonlocal \(\mathcal{PT}\) symmetric systems. (English) Zbl 07315222 Dörfler, Willy (ed.) et al., Mathematics of wave phenomena. Selected papers based on the presentations at the conference, Karlsruhe, Germany, July 23–27, 2018. Cham: Birkhäuser (ISBN 978-3-030-47173-6/hbk; 978-3-030-47174-3/ebook). Trends in Mathematics, 145-162 (2020). MSC: 35Q55 35Q41 35Q53 35P99 35B35 15A18 65M70 PDF BibTeX XML Cite \textit{W. Feng} and \textit{M. Stanislavova}, in: Mathematics of wave phenomena. Selected papers based on the presentations at the conference, Karlsruhe, Germany, July 23--27, 2018. Cham: Birkhäuser. 145--162 (2020; Zbl 07315222) Full Text: DOI
Zhuang, Jinsen; Zhou, Yan Bifurcations and exact traveling wave solutions of the equivalent complex short-pulse equations. (English) Zbl 1455.35230 J. Appl. Anal. Comput. 10, No. 2, 795-815 (2020). MSC: 35Q53 35B32 35Q51 35C05 35C07 35C08 PDF BibTeX XML Cite \textit{J. Zhuang} and \textit{Y. Zhou}, J. Appl. Anal. Comput. 10, No. 2, 795--815 (2020; Zbl 1455.35230) Full Text: DOI
Wang, Jingqun; Tian, Lixin Boundary controllability for the time-fractional nonlinear Korteweg-de Vries (KdV) equation. (English) Zbl 07315119 J. Appl. Anal. Comput. 10, No. 2, 411-426 (2020). Reviewer: Liping Chen (Hefei) MSC: 93B05 93C20 35Q53 PDF BibTeX XML Cite \textit{J. Wang} and \textit{L. Tian}, J. Appl. Anal. Comput. 10, No. 2, 411--426 (2020; Zbl 07315119) Full Text: DOI
Kang, Zhou-Zheng; Xia, Tie-Cheng Multiwave solutions to the negative-order KdV equation in \((3+1)\)-dimensions. (English) Zbl 1455.35221 J. Appl. Anal. Comput. 10, No. 2, 729-739 (2020). MSC: 35Q53 35Q51 PDF BibTeX XML Cite \textit{Z.-Z. Kang} and \textit{T.-C. Xia}, J. Appl. Anal. Comput. 10, No. 2, 729--739 (2020; Zbl 1455.35221) Full Text: DOI
Ionescu, Carmen; Constantinescu, Radu; Stoicescu, Mihail Functional expansions for finding traveling wave solutions. (English) Zbl 1455.35220 J. Appl. Anal. Comput. 10, No. 2, 569-583 (2020). MSC: 35Q53 35C07 PDF BibTeX XML Cite \textit{C. Ionescu} et al., J. Appl. Anal. Comput. 10, No. 2, 569--583 (2020; Zbl 1455.35220) Full Text: DOI
Foadian, Saedeh; Pourgholi, Reza; Tabasi, S. Hashem; Zeidabadi, Hamed Solving an inverse problem for a generalized time-delayed Burgers-Fisher equation by Haar wavelet method. (English) Zbl 07315108 J. Appl. Anal. Comput. 10, No. 2, 391-410 (2020). Reviewer: Chandrasekhar Salimath (Bengaluru) MSC: 65N21 65N20 65J20 65N15 65N12 65T60 65M32 35K05 35R30 35R25 35R07 35Q53 PDF BibTeX XML Cite \textit{S. Foadian} et al., J. Appl. Anal. Comput. 10, No. 2, 391--410 (2020; Zbl 07315108) Full Text: DOI
Alharbi, Abdulghani R.; Almatrafi, M. B.; Seadawy, Aly R. Construction of the numerical and analytical wave solutions of the Joseph-Egri dynamical equation for the long waves in nonlinear dispersive systems. (English) Zbl 1454.35316 Int. J. Mod. Phys. B 34, No. 30, Article ID 2050289, 10 p. (2020). MSC: 35Q53 35A25 35C08 35C07 PDF BibTeX XML Cite \textit{A. R. Alharbi} et al., Int. J. Mod. Phys. B 34, No. 30, Article ID 2050289, 10 p. (2020; Zbl 1454.35316) Full Text: DOI
Yokuş, Asıf; Kaya, Doğan Comparison exact and numerical simulation of the traveling wave solution in nonlinear dynamics. (English) Zbl 1454.35329 Int. J. Mod. Phys. B 34, No. 29, Article ID 2050282, 22 p. (2020). MSC: 35Q53 35A22 35C07 65M06 PDF BibTeX XML Cite \textit{A. Yokuş} and \textit{D. Kaya}, Int. J. Mod. Phys. B 34, No. 29, Article ID 2050282, 22 p. (2020; Zbl 1454.35329) Full Text: DOI
Muda, Yuslenita; Akbar, Fiki T.; Kusdiantara, Rudy; Gunara, Bobby E.; Susanto, Hadi Reduction of a damped, driven Klein-Gordon equation into a discrete nonlinear Schrödinger equation: justification and numerical comparison. (English) Zbl 07311878 Asymptotic Anal. 120, No. 1-2, 73-86 (2020). MSC: 35Q55 35Q51 35Q53 35C08 35A01 65L06 PDF BibTeX XML Cite \textit{Y. Muda} et al., Asymptotic Anal. 120, No. 1--2, 73--86 (2020; Zbl 07311878) Full Text: DOI
Kawamoto, Masaki \(L^2\)-properties for linearized KdV equation around small solutions. (English) Zbl 07311577 SUT J. Math. 56, No. 1, 1-19 (2020). MSC: 35Q53 47A45 35P25 35B40 35B35 PDF BibTeX XML Cite \textit{M. Kawamoto}, SUT J. Math. 56, No. 1, 1--19 (2020; Zbl 07311577)