Pei, Long On the regularity and symmetry of periodic traveling solutions to weakly dispersive equations with cubic nonlinearity. (English) Zbl 07782365 Math. Methods Appl. Sci. 46, No. 6, 6403-6415 (2023). MSC: 35C07 34C23 35B10 35B65 37L50 76M60 PDFBibTeX XMLCite \textit{L. Pei}, Math. Methods Appl. Sci. 46, No. 6, 6403--6415 (2023; Zbl 07782365) Full Text: DOI
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
Chen, Jing; Li, Erbo; Xue, Yushan Complete classification of solutions to the Riemann initial value problem for the Hirota equation with weak dispersion term. (English) Zbl 1516.35370 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 232, Article ID 113281, 59 p. (2023). MSC: 35Q53 35Q55 35Q31 37K15 76L05 35C08 35C07 35B65 65M70 65L06 PDFBibTeX XMLCite \textit{J. Chen} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 232, Article ID 113281, 59 p. (2023; Zbl 1516.35370) Full Text: DOI
Guelmame, Billel; Clamond, Didier; Junca, Stéphane Local well-posedness of a Hamiltonian regularisation of the Saint-Venant system with uneven bottom. (English) Zbl 07666945 Methods Appl. Anal. 29, No. 3, 295-302 (2022). MSC: 35Q35 35L65 37K06 35B65 76B15 35A01 35A02 PDFBibTeX XMLCite \textit{B. Guelmame} et al., Methods Appl. Anal. 29, No. 3, 295--302 (2022; Zbl 07666945) Full Text: DOI
Li, Ji; Liu, Yue; Wu, Qiliang Orbital stability of the sum of smooth solitons in the Degasperis-Procesi equation. (English. French summary) Zbl 1491.35341 J. Math. Pures Appl. (9) 163, 204-230 (2022). MSC: 35Q35 35Q51 37K40 37K45 76B25 35B35 35B45 35B20 35B40 35B65 35C08 PDFBibTeX XMLCite \textit{J. Li} et al., J. Math. Pures Appl. (9) 163, 204--230 (2022; Zbl 1491.35341) Full Text: DOI arXiv
Wang, Zhong; Liu, Yue Stability of smooth multi-solitons for the Camassa-Holm equation. (English) Zbl 1490.35356 Calc. Var. Partial Differ. Equ. 61, No. 2, Paper No. 51, 36 p. (2022). MSC: 35Q35 35Q51 76B15 37K06 37K10 35B65 35B35 35C08 49M41 PDFBibTeX XMLCite \textit{Z. Wang} and \textit{Y. Liu}, Calc. Var. Partial Differ. Equ. 61, No. 2, Paper No. 51, 36 p. (2022; Zbl 1490.35356) Full Text: DOI
Escobedo, M. Classical approximation of a linearized three waves kinetic equation. (English) Zbl 1491.35382 J. Funct. Anal. 282, No. 8, Article ID 109390, 87 p. (2022). MSC: 35Q49 82C40 35B65 37K10 81V73 PDFBibTeX XMLCite \textit{M. Escobedo}, J. Funct. Anal. 282, No. 8, Article ID 109390, 87 p. (2022; Zbl 1491.35382) Full Text: DOI arXiv
Berti, M.; Feola, R.; Franzoi, L. Quadratic life span of periodic gravity-capillary water waves. (English) Zbl 1502.35103 Water Waves 3, No. 1, 85-115 (2021). MSC: 35Q35 76B15 76B45 35B65 35B34 37L10 PDFBibTeX XMLCite \textit{M. Berti} et al., Water Waves 3, No. 1, 85--115 (2021; Zbl 1502.35103) Full Text: DOI arXiv
Zweck, John; Latushkin, Yuri; Marzuola, Jeremy L.; Jones, Christopher K. R. T. The essential spectrum of periodically stationary solutions of the complex Ginzburg-Landau equation. (English) Zbl 1483.35234 J. Evol. Equ. 21, No. 3, 3313-3329 (2021). MSC: 35Q56 35Q55 35Q41 35B10 35B65 35A01 37L15 47D06 78A60 PDFBibTeX XMLCite \textit{J. Zweck} et al., J. Evol. Equ. 21, No. 3, 3313--3329 (2021; Zbl 1483.35234) Full Text: DOI arXiv
Lenells, Jonatan; Mauersberger, Julian The hyperbolic Ernst equation in a triangular domain. (English) Zbl 1435.35382 Anal. Math. Phys. 10, No. 1, Paper No. 10, 60 p. (2020). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q75 83C35 37K15 35Q15 35Q05 35A01 35A02 35B65 PDFBibTeX XMLCite \textit{J. Lenells} and \textit{J. Mauersberger}, Anal. Math. Phys. 10, No. 1, Paper No. 10, 60 p. (2020; Zbl 1435.35382) Full Text: DOI arXiv
Jenkins, Robert Regularization of a sharp shock by the defocusing nonlinear Schrödinger equation. (English) Zbl 1322.35107 Nonlinearity 28, No. 7, 2131-2180 (2015). MSC: 35Q15 35Q55 37K15 35B40 78A60 76L05 35B65 PDFBibTeX XMLCite \textit{R. Jenkins}, Nonlinearity 28, No. 7, 2131--2180 (2015; Zbl 1322.35107) Full Text: DOI arXiv
Lin, Te-Sheng; Pradas, Marc; Kalliadasis, Serafim; Papageorgiou, Demetrios T.; Tseluiko, Dmitri Coherent structures in nonlocal dispersive active-dissipative systems. (English) Zbl 1335.35218 SIAM J. Appl. Math. 75, No. 2, 538-563 (2015). Reviewer: Milan Pokorný (Praha) MSC: 35Q53 35B65 35B41 35R10 37L15 65P40 76D33 PDFBibTeX XMLCite \textit{T.-S. Lin} et al., SIAM J. Appl. Math. 75, No. 2, 538--563 (2015; Zbl 1335.35218) Full Text: DOI
Rehman, Taslima; Gambino, Gaetana; Choudhury, S. Roy Smooth and non-smooth traveling wave solutions of some generalized Camassa-Holm equations. (English) Zbl 1457.35059 Commun. Nonlinear Sci. Numer. Simul. 19, No. 6, 1746-1769 (2014); corrigendum ibid. 27, No. 1-3, 328-329 (2015). MSC: 35Q53 35C07 35B65 37C29 76B25 PDFBibTeX XMLCite \textit{T. Rehman} et al., Commun. Nonlinear Sci. Numer. Simul. 19, No. 6, 1746--1769 (2014; Zbl 1457.35059) Full Text: DOI arXiv
De Laire, André Minimal energy for the traveling waves of the Landau-Lifshitz equation. (English) Zbl 1305.35123 SIAM J. Math. Anal. 46, No. 1, 96-132 (2014). Reviewer: Xue Bo (Zhengzhou) MSC: 35Q51 37K40 35B65 PDFBibTeX XMLCite \textit{A. De Laire}, SIAM J. Math. Anal. 46, No. 1, 96--132 (2014; Zbl 1305.35123) Full Text: DOI arXiv
Duan, Yong; Liu, Jian-Guo Convergence analysis of the vortex blob method for the \(b\)-equation. (English) Zbl 1277.35021 Discrete Contin. Dyn. Syst. 34, No. 5, 1995-2011 (2014). MSC: 35A35 35B65 35C08 35D30 37K10 65M75 76B15 35Q51 PDFBibTeX XMLCite \textit{Y. Duan} and \textit{J.-G. Liu}, Discrete Contin. Dyn. Syst. 34, No. 5, 1995--2011 (2014; Zbl 1277.35021) Full Text: DOI
de Laire, André Nonexistence of traveling waves for a nonlocal Gross-Pitaevskii equation. (English) Zbl 1273.35259 Indiana Univ. Math. J. 61, No. 4, 1451-1484 (2012). MSC: 35Q55 35Q40 35Q51 35B65 37K40 37K05 81Q99 PDFBibTeX XMLCite \textit{A. de Laire}, Indiana Univ. Math. J. 61, No. 4, 1451--1484 (2012; Zbl 1273.35259) Full Text: DOI arXiv Link
Lyons, Tony The 2-component dispersionless Burgers equation arising in the modelling of blood flow. (English) Zbl 1284.35449 Commun. Pure Appl. Anal. 11, No. 4, 1563-1576 (2012). MSC: 35Q92 35Q53 37K65 35B30 35B35 35B65 92C35 76Z05 PDFBibTeX XMLCite \textit{T. Lyons}, Commun. Pure Appl. Anal. 11, No. 4, 1563--1576 (2012; Zbl 1284.35449) Full Text: DOI arXiv
Zhou, Hongxian; Shen, Jianwei Bifurcations of travelling wave solutions for modified nonlinear dispersive phi-four equation. (English) Zbl 1203.35204 Appl. Math. Comput. 217, No. 4, 1584-1597 (2010). MSC: 35Q51 37K10 37K50 35C08 35B10 35B65 PDFBibTeX XMLCite \textit{H. Zhou} and \textit{J. Shen}, Appl. Math. Comput. 217, No. 4, 1584--1597 (2010; Zbl 1203.35204) Full Text: DOI
Li, Hong; Ma, Lilin; Wang, Kanmin Bifurcations of travelling wave solutions for the combined KdV-MKd equation. (English) Zbl 1221.35349 Commun. Nonlinear Sci. Numer. Simul. 14, No. 8, 3296-3304 (2009). MSC: 35Q53 35B10 35B32 35C07 35C08 37L10 PDFBibTeX XMLCite \textit{H. Li} et al., Commun. Nonlinear Sci. Numer. Simul. 14, No. 8, 3296--3304 (2009; Zbl 1221.35349) Full Text: DOI
Li, Jibin; Li, Yishen Bifurcations of travelling wave solutions for a two-component Camassa-Holm equation. (English) Zbl 1182.34064 Acta Math. Sin., Engl. Ser. 24, No. 8, 1319-1330 (2008). Reviewer: Cristina Marcelli (Ancona) MSC: 34C37 34C23 35Q53 35Q51 37K40 37L05 PDFBibTeX XMLCite \textit{J. Li} and \textit{Y. Li}, Acta Math. Sin., Engl. Ser. 24, No. 8, 1319--1330 (2008; Zbl 1182.34064) Full Text: DOI
Liu, Zhengrong; Zhang, Bengong New expressions of periodic waves and a novel phenomenon in a compressible hyperelastic rod. (English) Zbl 1174.74001 J. Partial Differ. Equations 20, No. 1, 80-96 (2007). MSC: 74K10 35B65 37G15 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{B. Zhang}, J. Partial Differ. Equations 20, No. 1, 80--96 (2007; Zbl 1174.74001)
Stanislavova, Milena; Stefanov, Atanas Attractors for the viscous Camassa-Holm equation. (English) Zbl 1387.35502 Discrete Contin. Dyn. Syst. 18, No. 1, 159-186 (2007). MSC: 35Q35 37L30 37K40 35B65 76B15 PDFBibTeX XMLCite \textit{M. Stanislavova} and \textit{A. Stefanov}, Discrete Contin. Dyn. Syst. 18, No. 1, 159--186 (2007; Zbl 1387.35502) Full Text: DOI arXiv
Shen, Jianwei; Miao, Baojun; Guo, Lingling Bifurcation analysis of travelling wave solutions in the nonlinear Klein-Gordon model with anharmonic coupling. (English) Zbl 1118.35357 Appl. Math. Comput. 188, No. 2, 1975-1983 (2007). MSC: 35Q55 37K40 37K50 PDFBibTeX XMLCite \textit{J. Shen} et al., Appl. Math. Comput. 188, No. 2, 1975--1983 (2007; Zbl 1118.35357) Full Text: DOI
Li, Jibin; Wu, Jianhong; Zhu, Huaiping Traveling waves for an integrable higher order KdV type wave equations. (English) Zbl 1192.37100 Int. J. Bifurcation Chaos Appl. Sci. Eng. 16, No. 8, 2235-2260 (2006). MSC: 37K40 34C05 35Q53 76B15 76B25 PDFBibTeX XMLCite \textit{J. Li} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 16, No. 8, 2235--2260 (2006; Zbl 1192.37100) Full Text: DOI
Zhao, Xiaoshan; Xu, Wei; Li, Shuang; Shen, Jianwei Bifurcations of traveling wave solutions for a class of the generalized Benjamin-Bona-Mahony equation. (English) Zbl 1093.65120 Appl. Math. Comput. 175, No. 2, 1760-1774 (2006). MSC: 65P30 37M20 37K50 PDFBibTeX XMLCite \textit{X. Zhao} et al., Appl. Math. Comput. 175, No. 2, 1760--1774 (2006; Zbl 1093.65120) Full Text: DOI
Li, Hong; Sun, Shaorong; Li, Jibin Bifurcations of travelling wave solutions for the Boussinesq equations. (English) Zbl 1088.37040 Appl. Math. Comput. 175, No. 1, 61-71 (2006). MSC: 37K40 35Q35 35B32 35Q51 35B10 37K50 PDFBibTeX XMLCite \textit{H. Li} et al., Appl. Math. Comput. 175, No. 1, 61--71 (2006; Zbl 1088.37040) Full Text: DOI
Shen, Jianwei; Li, Jibin; Xu, Wei Bifurcations of travelling wave solutions in a model of the hydrogen-bonded systems. (English) Zbl 1106.35086 Appl. Math. Comput. 171, No. 1, 242-271 (2005). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35Q53 37K50 34C23 35Q51 PDFBibTeX XMLCite \textit{J. Shen} et al., Appl. Math. Comput. 171, No. 1, 242--271 (2005; Zbl 1106.35086) Full Text: DOI
Li, Jibin; Liu, Zhengrong Smooth and non-smooth traveling waves in a nonlinearly dispersive equation. (English) Zbl 0985.37072 Appl. Math. Modelling 25, No. 1, 41-56 (2000). MSC: 37K10 35Q58 35B65 76B25 34C37 PDFBibTeX XMLCite \textit{J. Li} and \textit{Z. Liu}, Appl. Math. Modelling 25, No. 1, 41--56 (2000; Zbl 0985.37072) Full Text: DOI
Kurganov, Alexander; Levy, Doron; Rosenau, Philip On Burgers-type equations with nonmonotonic dissipative fluxes. (English) Zbl 0929.35138 Commun. Pure Appl. Math. 51, No. 5, 443-473 (1998). MSC: 35Q53 37K40 PDFBibTeX XMLCite \textit{A. Kurganov} et al., Commun. Pure Appl. Math. 51, No. 5, 443--473 (1998; Zbl 0929.35138) Full Text: DOI