Choi, Kyudong Stability of Hill’s spherical vortex. (English) Zbl 07782026 Commun. Pure Appl. Math. 77, No. 1, 52-138 (2024). MSC: 76-XX 35-XX PDFBibTeX XMLCite \textit{K. Choi}, Commun. Pure Appl. Math. 77, No. 1, 52--138 (2024; Zbl 07782026) Full Text: DOI arXiv
Ling, Liming; Sun, Xuan Stability of elliptic function solutions for the focusing modified KdV equation. (English) Zbl 07797718 Adv. Math. 435, Part A, Article ID 109356, 63 p. (2023). MSC: 35Q53 37K35 35B20 35B35 35B40 35C08 33E05 PDFBibTeX XMLCite \textit{L. Ling} and \textit{X. Sun}, Adv. Math. 435, Part A, Article ID 109356, 63 p. (2023; Zbl 07797718) Full Text: DOI arXiv
Guo, Yuli; Zhang, Weiguo; Hong, Siyu Orbital stability of solitary wave for Eckhaus-Kundu equation. (English) Zbl 07792196 J. Nonlinear Math. Phys. 30, No. 4, 1641-1660 (2023). MSC: 35Q51 35B35 PDFBibTeX XMLCite \textit{Y. Guo} et al., J. Nonlinear Math. Phys. 30, No. 4, 1641--1660 (2023; Zbl 07792196) Full Text: DOI OA License
Sun, Wen-Rong Spectral stability of elliptic solutions to the short-pulse equation. (English) Zbl 1527.35124 Physica D 456, Article ID 133916, 6 p. (2023). MSC: 35C07 35B35 35Q55 PDFBibTeX XMLCite \textit{W.-R. Sun}, Physica D 456, Article ID 133916, 6 p. (2023; Zbl 1527.35124) Full Text: DOI
Hakkaev, Sevdzhan; Syuleymanov, Turhan On the linear stability of simple and semi-simple periodic waves for a system of cubic Klein-Gordon equations. (English) Zbl 1523.35036 Math. Nachr. 296, No. 5, 1886-1900 (2023). MSC: 35B35 35B40 35C07 35L71 PDFBibTeX XMLCite \textit{S. Hakkaev} and \textit{T. Syuleymanov}, Math. Nachr. 296, No. 5, 1886--1900 (2023; Zbl 1523.35036) Full Text: DOI
Hakkaev, Sevdzhan; Stanislavova, Milena; Stefanov, Atanas G. Spectral stability of periodic waves for the Zakharov system. (English) Zbl 1520.35010 J. Math. Phys. 64, No. 8, Article ID 081503, 14 p. (2023). MSC: 35B35 35C07 35B20 PDFBibTeX XMLCite \textit{S. Hakkaev} et al., J. Math. Phys. 64, No. 8, Article ID 081503, 14 p. (2023; Zbl 1520.35010) Full Text: DOI arXiv
Hong, Si-Yu; Zhang, Wei-Guo; Ling, Xing-Qian Orbital stability of dn periodic wave solutions of the Boussinesq equation with quadratic-cubic nonlinear terms. (English) Zbl 1519.35024 J. Nonlinear Math. Phys. 30, No. 2, 455-474 (2023). MSC: 35B35 35Q51 35C07 37K45 PDFBibTeX XMLCite \textit{S.-Y. Hong} et al., J. Nonlinear Math. Phys. 30, No. 2, 455--474 (2023; Zbl 1519.35024) Full Text: DOI
Laurens, Thierry Multisolitons are the unique constrained minimizers of the KdV conserved quantities. (English) Zbl 1519.35275 Calc. Var. Partial Differ. Equ. 62, No. 7, Paper No. 192, 40 p. (2023). MSC: 35Q53 35C08 49J40 49M41 PDFBibTeX XMLCite \textit{T. Laurens}, Calc. Var. Partial Differ. Equ. 62, No. 7, Paper No. 192, 40 p. (2023; Zbl 1519.35275) Full Text: DOI arXiv
He, Cheng; Liu, Xiaochuan; Qu, Changzheng Orbital stability of two-component peakons. (English) Zbl 1515.35232 Sci. China, Math. 66, No. 7, 1395-1428 (2023). MSC: 35Q51 37K45 PDFBibTeX XMLCite \textit{C. He} et al., Sci. China, Math. 66, No. 7, 1395--1428 (2023; Zbl 1515.35232) Full Text: DOI arXiv
Zhong, Yansheng; Wu, Riguang The long-time behavior of solitary waves for the weakly damped KdV equation. (English) Zbl 1512.35524 Bound. Value Probl. 2023, Paper No. 5, 26 p. (2023). MSC: 35Q53 35B35 PDFBibTeX XMLCite \textit{Y. Zhong} and \textit{R. Wu}, Bound. Value Probl. 2023, Paper No. 5, 26 p. (2023; Zbl 1512.35524) Full Text: DOI
Choi, Kyudong; Jeong, In-Jee Filamentation near Hill’s vortex. (English) Zbl 1512.76023 Commun. Partial Differ. Equations 48, No. 1, 54-85 (2023). Reviewer: Fatma Gamze Duzgun (Ankara) MSC: 76B47 76B03 35Q31 PDFBibTeX XMLCite \textit{K. Choi} and \textit{I.-J. Jeong}, Commun. Partial Differ. Equations 48, No. 1, 54--85 (2023; Zbl 1512.76023) Full Text: DOI arXiv
Friedman, Isaac; Riaño, Oscar; Roudenko, Svetlana; Son, Diana; Yang, Kai Well-posedness and dynamics of solutions to the generalized KdV with low power nonlinearity. (English) Zbl 1511.35313 Nonlinearity 36, No. 1, 584-635 (2023). Reviewer: Ti-Jun Xiao (Fudan) MSC: 35Q53 35Q35 35B40 35B44 35A01 35A02 35C08 65M70 65N35 65L06 PDFBibTeX XMLCite \textit{I. Friedman} et al., Nonlinearity 36, No. 1, 584--635 (2023; Zbl 1511.35313) Full Text: DOI arXiv
Wang, Zhong Spectral stability of multi-solitons for generalized Hamiltonian system. I: The Caudrey-Dodd-Gibbon-Sawada-Kotera equation. (English) Zbl 1506.35011 Physica D 444, Article ID 133610, 18 p. (2023). MSC: 35B35 35C08 35Q53 PDFBibTeX XMLCite \textit{Z. Wang}, Physica D 444, Article ID 133610, 18 p. (2023; Zbl 1506.35011) Full Text: DOI
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
Alves, Giovana; Natali, Fábio Periodic waves for the cubic-quintic nonlinear Schrödinger equation: existence and orbital stability. (English) Zbl 1501.35359 Discrete Contin. Dyn. Syst., Ser. B 28, No. 2, 854-871 (2023). MSC: 35Q55 35Q41 37K45 37K40 35A01 35B35 35B10 33E05 PDFBibTeX XMLCite \textit{G. Alves} and \textit{F. Natali}, Discrete Contin. Dyn. Syst., Ser. B 28, No. 2, 854--871 (2023; Zbl 1501.35359) Full Text: DOI arXiv
Kairzhan, Adilbek; Noja, Diego; Pelinovsky, Dmitry E. Standing waves on quantum graphs. (English) Zbl 1507.81100 J. Phys. A, Math. Theor. 55, No. 24, Article ID 243001, 51 p. (2022). MSC: 81Q35 35Q55 PDFBibTeX XMLCite \textit{A. Kairzhan} et al., J. Phys. A, Math. Theor. 55, No. 24, Article ID 243001, 51 p. (2022; Zbl 1507.81100) Full Text: DOI arXiv
Burchell, Timothy J.; Bridges, Thomas J. Symplectic transversality and the Pego-Weinstein theory. (English) Zbl 1504.35422 Adv. Math. 406, Article ID 108524, 58 p. (2022). MSC: 35Q41 35Q51 35C08 37C29 15A66 35B40 53D05 76B25 PDFBibTeX XMLCite \textit{T. J. Burchell} and \textit{T. J. Bridges}, Adv. Math. 406, Article ID 108524, 58 p. (2022; Zbl 1504.35422) Full Text: DOI arXiv
Morales Paredes, Jorge; Méndez, Félix Humberto Soriano On the Cauchy problems associated to a ZK-KP-type family equations with a transversal fractional dispersion. (English) Zbl 1492.35277 Discrete Contin. Dyn. Syst. 42, No. 5, 2257-5593 (2022). MSC: 35Q53 35Q35 35A01 35A02 26A33 35R11 35R25 PDFBibTeX XMLCite \textit{J. Morales Paredes} and \textit{F. H. S. Méndez}, Discrete Contin. Dyn. Syst. 42, No. 5, 2257--5593 (2022; Zbl 1492.35277) Full Text: DOI
Moraes, Gabriel E. Bittencourt; de Loreno, Guilherme Cnoidal waves for the quintic Klein-Gordon and Schrödinger equations: existence and orbital instability. (English) Zbl 1493.35011 J. Math. Anal. Appl. 513, No. 1, Article ID 126203, 22 p. (2022). Reviewer: Xiaoming He (Beijing) MSC: 35B35 35C07 35Q51 35Q53 35Q55 PDFBibTeX XMLCite \textit{G. E. B. Moraes} and \textit{G. de Loreno}, J. Math. Anal. Appl. 513, No. 1, Article ID 126203, 22 p. (2022; Zbl 1493.35011) Full Text: DOI arXiv
Wang, Zhong Isoinertial operators around the KdV multi-solitons. (English) Zbl 1490.35355 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 219, Article ID 112820, 24 p. (2022). MSC: 35Q35 35Q53 35Q51 37K06 37K10 37K15 35C08 PDFBibTeX XMLCite \textit{Z. Wang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 219, Article ID 112820, 24 p. (2022; Zbl 1490.35355) Full Text: DOI
Killip, Rowan; Vişan, Monica Orbital stability of KdV multisolitons in \(H^{-1}\). (English) Zbl 1509.35264 Commun. Math. Phys. 389, No. 3, 1445-1473 (2022). Reviewer: Piotr Biler (Wrocław) MSC: 35Q53 37K10 37K35 35C08 PDFBibTeX XMLCite \textit{R. Killip} and \textit{M. Vişan}, Commun. Math. Phys. 389, No. 3, 1445--1473 (2022; Zbl 1509.35264) Full Text: DOI arXiv
Lan, Enhao Orbital stability of nonlinear Schrödinger-Kirchhoff equations. (English) Zbl 1482.35034 Mediterr. J. Math. 19, No. 1, Paper No. 36, 15 p. (2022). MSC: 35B35 35B40 35Q55 35R09 PDFBibTeX XMLCite \textit{E. Lan}, Mediterr. J. Math. 19, No. 1, Paper No. 36, 15 p. (2022; Zbl 1482.35034) Full Text: DOI
Bae, Junsik; Kwon, Bongsuk Linear stability of solitary waves for the isothermal Euler-Poisson system. (English) Zbl 1507.35162 Arch. Ration. Mech. Anal. 243, No. 1, 257-327 (2022). MSC: 35Q35 35Q31 35Q53 76B25 76X05 76W05 76E25 76E30 78A30 35C08 35P15 35B40 PDFBibTeX XMLCite \textit{J. Bae} and \textit{B. Kwon}, Arch. Ration. Mech. Anal. 243, No. 1, 257--327 (2022; Zbl 1507.35162) Full Text: DOI arXiv
Cui, Pengxue; Ji, Shuguan Existence and nonlinear stability of solitary wave solutions for coupled Schrödinger-KdV systems. (English) Zbl 1493.35103 Electron. J. Differ. Equ. 2021, Paper No. 72, 13 p. (2021). MSC: 35Q55 35Q53 35B35 PDFBibTeX XMLCite \textit{P. Cui} and \textit{S. Ji}, Electron. J. Differ. Equ. 2021, Paper No. 72, 13 p. (2021; Zbl 1493.35103) Full Text: Link
Chen, Robin Ming; Jin, Jie Transverse instability of the CH-KP-I equation. (English) Zbl 1499.35068 Ann. Appl. Math. 37, No. 3, 337-362 (2021). MSC: 35B35 35C07 35G25 PDFBibTeX XMLCite \textit{R. M. Chen} and \textit{J. Jin}, Ann. Appl. Math. 37, No. 3, 337--362 (2021; Zbl 1499.35068) Full Text: DOI arXiv
Ling, Xing-qian; Zhang, Wei-guo Orbital stability of dn periodic solutions for the generalized symmetric regularized-long-wave equation. (English) Zbl 1510.35269 Appl. Math. Comput. 405, Article ID 126249, 10 p. (2021). MSC: 35Q53 35Q51 37K45 PDFBibTeX XMLCite \textit{X.-q. Ling} and \textit{W.-g. Zhang}, Appl. Math. Comput. 405, Article ID 126249, 10 p. (2021; Zbl 1510.35269) Full Text: DOI
Le Coz, Stefan; Wang, Zhong Stability of the multi-solitons of the modified Korteweg-de Vries equation. (English) Zbl 1479.35738 Nonlinearity 34, No. 10, 7109-7143 (2021). MSC: 35Q53 35Q51 35B35 35C08 35B38 PDFBibTeX XMLCite \textit{S. Le Coz} and \textit{Z. Wang}, Nonlinearity 34, No. 10, 7109--7143 (2021; Zbl 1479.35738) Full Text: DOI arXiv
Mashkin, Timur Invariant manifold of modified solitons for the perturbed sine-Gordon equation. (English) Zbl 1479.35746 Nonlinearity 34, No. 10, 6930-6962 (2021). MSC: 35Q53 35L70 35C08 35B20 35A24 35R01 PDFBibTeX XMLCite \textit{T. Mashkin}, Nonlinearity 34, No. 10, 6930--6962 (2021; Zbl 1479.35746) Full Text: DOI
Chen, Robin Ming; Lian, Wei; Wang, Dehua; Xu, Runzhang A rigidity property for the Novikov equation and the asymptotic stability of peakons. (English) Zbl 1468.35167 Arch. Ration. Mech. Anal. 241, No. 1, 497-533 (2021). MSC: 35Q53 35Q35 35C08 35B35 35B40 35D30 PDFBibTeX XMLCite \textit{R. M. Chen} et al., Arch. Ration. Mech. Anal. 241, No. 1, 497--533 (2021; Zbl 1468.35167) Full Text: DOI
Li, Jun; Chen, Yong A deep learning method for solving third-order nonlinear evolution equations. (English) Zbl 1520.68170 Commun. Theor. Phys. 72, No. 11, Article ID 115003, 11 p. (2020). MSC: 68T07 37L05 PDFBibTeX XMLCite \textit{J. Li} and \textit{Y. Chen}, Commun. Theor. Phys. 72, No. 11, Article ID 115003, 11 p. (2020; Zbl 1520.68170) Full Text: DOI
Sun, Cong Nonlinear stability of the periodic traveling wave solution for a class of coupled KdV equations. (English) Zbl 1477.35027 Adv. Math. Phys. 2020, Article ID 3875038, 6 p. (2020). MSC: 35B35 35C07 35Q53 PDFBibTeX XMLCite \textit{C. Sun}, Adv. Math. Phys. 2020, Article ID 3875038, 6 p. (2020; Zbl 1477.35027) Full Text: DOI
Jiao, Mengjiao; Cheng, Yingda; Liu, Yong; Zhang, Mengping Central discontinuous Galerkin methods for the generalized Korteweg-de Vries equation. (English) Zbl 1473.65200 Commun. Comput. Phys. 28, No. 3, 927-966 (2020). MSC: 65M60 65M12 65M15 PDFBibTeX XMLCite \textit{M. Jiao} et al., Commun. Comput. Phys. 28, No. 3, 927--966 (2020; Zbl 1473.65200) Full Text: DOI
Mizumachi, Tetsu; Shimabukuro, Yusuke Stability of Benney-Luke line solitary waves in 2 dimensions. (English) Zbl 1448.35035 SIAM J. Math. Anal. 52, No. 5, 4238-4283 (2020). MSC: 35B35 35C08 37K45 35Q35 PDFBibTeX XMLCite \textit{T. Mizumachi} and \textit{Y. Shimabukuro}, SIAM J. Math. Anal. 52, No. 5, 4238--4283 (2020; Zbl 1448.35035) Full Text: DOI
Mashkin, Timur Solitons in the presence of a small, slowly varying perturbation. (English) Zbl 1448.35450 Appl. Anal. 99, No. 13, 2258-2279 (2020). MSC: 35Q53 35L70 35C08 53D05 PDFBibTeX XMLCite \textit{T. Mashkin}, Appl. Anal. 99, No. 13, 2258--2279 (2020; Zbl 1448.35450) Full Text: DOI arXiv
Mashkin, Timur Stability of the solitary manifold of the perturbed sine-Gordon equation. (English) Zbl 1442.35065 J. Math. Anal. Appl. 486, No. 2, Article ID 123904, 37 p. (2020). MSC: 35C08 35L71 35B40 PDFBibTeX XMLCite \textit{T. Mashkin}, J. Math. Anal. Appl. 486, No. 2, Article ID 123904, 37 p. (2020; Zbl 1442.35065) Full Text: DOI arXiv
Martins, Renan H.; Natali, Fábio A comment about the paper “On the instability of elliptic traveling wave solutions of the modified Camassa-Holm equation”. (English) Zbl 1434.35005 J. Differ. Equations 269, No. 5, 4598-4608 (2020). MSC: 35B35 35C07 35B10 PDFBibTeX XMLCite \textit{R. H. Martins} and \textit{F. Natali}, J. Differ. Equations 269, No. 5, 4598--4608 (2020; Zbl 1434.35005) Full Text: DOI arXiv
Natali, Fábio; Cardoso, Eleomar Orbital stability of periodic standing waves for the logarithmic Klein-Gordon equation. (English) Zbl 1430.35159 J. Math. Anal. Appl. 484, No. 2, Article ID 123723, 43 p. (2020). MSC: 35L71 35B10 35B35 35D30 35L15 PDFBibTeX XMLCite \textit{F. Natali} and \textit{E. Cardoso}, J. Math. Anal. Appl. 484, No. 2, Article ID 123723, 43 p. (2020; Zbl 1430.35159) Full Text: DOI arXiv
Zheng, Xiaoxiao; Xin, Jie; Peng, Xiaoming Orbital stability of periodic traveling wave solutions to the generalized long-short wave equations. (English) Zbl 1464.35305 J. Appl. Anal. Comput. 9, No. 6, 2389-2408 (2019). MSC: 35Q53 35Q51 35B35 35B40 35B34 35B10 35C07 33E05 PDFBibTeX XMLCite \textit{X. Zheng} et al., J. Appl. Anal. Comput. 9, No. 6, 2389--2408 (2019; Zbl 1464.35305) Full Text: DOI
Kwak, Chulkwang; Muñoz, Claudio Extended decay properties for generalized BBM equation. (English) Zbl 1442.35383 Miller, Peter D. (ed.) et al., Nonlinear dispersive partial differential equations and inverse scattering. Papers from the focus program on “Nonlinear Dispersive Partial Differential Equations and Inverse Scattering”, Fields Institute, July 31 – August 18, 2017. New York, NY: Springer; Toronto, ON: The Fields Institute for Research in Mathematical Scienes. Fields Inst. Commun. 83, 397-411 (2019). MSC: 35Q53 PDFBibTeX XMLCite \textit{C. Kwak} and \textit{C. Muñoz}, Fields Inst. Commun. 83, 397--411 (2019; Zbl 1442.35383) Full Text: DOI arXiv
Natali, Fábio Orbital stability of periodic traveling-wave solutions for a dispersive equation. (English) Zbl 1427.76047 São Paulo J. Math. Sci. 13, No. 2, 447-464 (2019). MSC: 76B25 35Q51 35Q53 PDFBibTeX XMLCite \textit{F. Natali}, São Paulo J. Math. Sci. 13, No. 2, 447--464 (2019; Zbl 1427.76047) Full Text: DOI arXiv
Jin, Jiayin; Lin, Zhiwu; Zeng, Chongchun Dynamics near the solitary waves of the supercritical gKDV equations. (English) Zbl 1423.35066 J. Differ. Equations 267, No. 12, 7213-7262 (2019). MSC: 35C08 35Q53 35B40 37L10 PDFBibTeX XMLCite \textit{J. Jin} et al., J. Differ. Equations 267, No. 12, 7213--7262 (2019; Zbl 1423.35066) Full Text: DOI arXiv
Zhang, Wei-guo; Li, Wen-xia; Deng, Sheng-er; Li, Xiang Asymptotic stability of monotone decreasing kink profile solitary wave solutions for generalized KdV-Burgers equation. (English) Zbl 1428.35440 Acta Math. Appl. Sin., Engl. Ser. 35, No. 3, 475-490 (2019). MSC: 35Q51 35Q53 35B45 35B40 35B35 PDFBibTeX XMLCite \textit{W.-g. Zhang} et al., Acta Math. Appl. Sin., Engl. Ser. 35, No. 3, 475--490 (2019; Zbl 1428.35440) Full Text: DOI
Hakkaev, Sevdzhan Stability of semitrivial periodic waves of a Schrödinger system. (English) Zbl 1421.81039 J. Math. Phys. 60, No. 8, 081502, 12 p. (2019). MSC: 81Q05 35Q55 35B10 35B35 PDFBibTeX XMLCite \textit{S. Hakkaev}, J. Math. Phys. 60, No. 8, 081502, 12 p. (2019; Zbl 1421.81039) Full Text: DOI
Zhang, Wei-Guo; Ling, Xing-Qian; Li, Xiang; Li, Shao-Wei The orbital stability of solitary wave solutions for the generalized Gardner equation and the influence caused by the interactions between nonlinear terms. (English) Zbl 1423.35032 Complexity 2019, Article ID 4209275, 17 p. (2019). MSC: 35B35 35Q53 35G25 35C08 PDFBibTeX XMLCite \textit{W.-G. Zhang} et al., Complexity 2019, Article ID 4209275, 17 p. (2019; Zbl 1423.35032) Full Text: DOI
Hakkaev, Sevdzhan Orbital stability and instability of solitary waves for a class of dispersive symmetric regularized long-wave equation. (English) Zbl 1418.35033 Mediterr. J. Math. 16, No. 4, Paper No. 92, 20 p. (2019). MSC: 35B35 35B40 35G30 35C08 35S05 PDFBibTeX XMLCite \textit{S. Hakkaev}, Mediterr. J. Math. 16, No. 4, Paper No. 92, 20 p. (2019; Zbl 1418.35033) Full Text: DOI
Alves, Giovana; Natali, Fábio; Pastor, Ademir Sufficient conditions for orbital stability of periodic traveling waves. (English) Zbl 1433.35330 J. Differ. Equations 267, No. 2, 879-901 (2019). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q53 35Q51 76B25 PDFBibTeX XMLCite \textit{G. Alves} et al., J. Differ. Equations 267, No. 2, 879--901 (2019; Zbl 1433.35330) Full Text: DOI arXiv
de Andrade, Thiago Pinguello; Pastor, Ademir Orbital stability of one-parameter periodic traveling waves for dispersive equations and applications. (English) Zbl 1414.35023 J. Math. Anal. Appl. 475, No. 2, 1242-1275 (2019). MSC: 35B35 35C07 PDFBibTeX XMLCite \textit{T. P. de Andrade} and \textit{A. Pastor}, J. Math. Anal. Appl. 475, No. 2, 1242--1275 (2019; Zbl 1414.35023) Full Text: DOI arXiv
Claassen, Kyle M.; Johnson, Mathew A. Nondegeneracy and stability of antiperiodic bound states for fractional nonlinear Schrödinger equations. (English) Zbl 1417.35176 J. Differ. Equations 266, No. 9, 5664-5712 (2019). Reviewer: Alessandro Selvitella (Fort Wayne) MSC: 35Q55 35R11 35B35 35P30 PDFBibTeX XMLCite \textit{K. M. Claassen} and \textit{M. A. Johnson}, J. Differ. Equations 266, No. 9, 5664--5712 (2019; Zbl 1417.35176) Full Text: DOI arXiv
Govinder, K. S.; Narain, R.; Okeke, Justina E. New exact solutions and conservation laws of a class of Kuramoto Sivashinsky (KS) equations. (English) Zbl 1404.35386 Quaest. Math. 42, No. 1, 93-112 (2019). MSC: 35Q53 35A30 35B06 70G65 70S10 PDFBibTeX XMLCite \textit{K. S. Govinder} et al., Quaest. Math. 42, No. 1, 93--112 (2019; Zbl 1404.35386) Full Text: DOI
Adams, Ronald; Mancas, Stefan C. Stability of solitary and cnoidal traveling wave solutions for a fifth order Korteweg-de Vries equation. (English) Zbl 1426.35196 Appl. Math. Comput. 321, 745-751 (2018). MSC: 35Q53 35B35 35C07 35C08 PDFBibTeX XMLCite \textit{R. Adams} and \textit{S. C. Mancas}, Appl. Math. Comput. 321, 745--751 (2018; Zbl 1426.35196) Full Text: DOI arXiv
Pava, Jaime Angulo Stability properties of solitary waves for fractional KdV and BBM equations. (English) Zbl 1384.76013 Nonlinearity 31, No. 3, 920-956 (2018). MSC: 76B25 35Q51 35Q53 35R11 PDFBibTeX XMLCite \textit{J. A. Pava}, Nonlinearity 31, No. 3, 920--956 (2018; Zbl 1384.76013) Full Text: DOI arXiv
Kabakouala, André; Molinet, Luc On the stability of the solitary waves to the (generalized) Kawahara equation. (English) Zbl 1378.35029 J. Math. Anal. Appl. 457, No. 1, 478-497 (2018). MSC: 35B35 35C08 PDFBibTeX XMLCite \textit{A. Kabakouala} and \textit{L. Molinet}, J. Math. Anal. Appl. 457, No. 1, 478--497 (2018; Zbl 1378.35029) Full Text: DOI arXiv
Kowalczyk, Michał; Martel, Yvan; Muñoz, Claudio On asymptotic stability of nonlinear waves. (English) Zbl 1475.35415 Sémin. Laurent Schwartz, EDP Appl. 2016-2017, Exp. No. 18, 27 p. (2017). MSC: 35R30 35B35 35P25 35Q53 35Q55 35-02 PDFBibTeX XMLCite \textit{M. Kowalczyk} et al., Sémin. Laurent Schwartz, EDP Appl. 2016--2017, Exp. No. 18, 27 p. (2017; Zbl 1475.35415) Full Text: DOI
Mizumachi, Tetsu; Shimabukuro, Yusuke Asymptotic linear stability of benney-luke line solitary waves in 2D. (English) Zbl 1375.35034 Nonlinearity 30, No. 9, 3419-3465 (2017). MSC: 35B35 37K45 35Q35 35C08 PDFBibTeX XMLCite \textit{T. Mizumachi} and \textit{Y. Shimabukuro}, Nonlinearity 30, No. 9, 3419--3465 (2017; Zbl 1375.35034) Full Text: DOI arXiv
Wang, Zhong Stability of Hasimoto solitons in energy space for a fourth order nonlinear Schrödinger type equation. (English) Zbl 1371.35227 Discrete Contin. Dyn. Syst. 37, No. 7, 4091-4108 (2017). Reviewer: Vishnu Dutt Sharma (Mumbai) MSC: 35Q35 35Q55 35C08 76B47 PDFBibTeX XMLCite \textit{Z. Wang}, Discrete Contin. Dyn. Syst. 37, No. 7, 4091--4108 (2017; Zbl 1371.35227) Full Text: DOI
Bona, Jerry L.; Chen, Hongqiu; Karakashian, Ohannes Stability of solitary-wave solutions of systems of dispersive equations. (English) Zbl 1362.35253 Appl. Math. Optim. 75, No. 1, 27-53 (2017). MSC: 35Q53 35C07 35C08 35B35 PDFBibTeX XMLCite \textit{J. L. Bona} et al., Appl. Math. Optim. 75, No. 1, 27--53 (2017; Zbl 1362.35253) Full Text: DOI
Pigott, Brian; Raynor, Sarah Long-term stability for KdV solitons in weighted \(H^s\) spaces. (English) Zbl 1358.35159 Commun. Pure Appl. Anal. 16, No. 2, 393-416 (2017). MSC: 35Q53 35B35 37K40 35B40 37K45 35Q51 35C07 PDFBibTeX XMLCite \textit{B. Pigott} and \textit{S. Raynor}, Commun. Pure Appl. Anal. 16, No. 2, 393--416 (2017; Zbl 1358.35159) Full Text: DOI arXiv
Pego, Robert L.; Sun, Shu-Ming Asymptotic linear stability of solitary water waves. (English) Zbl 1362.35240 Arch. Ration. Mech. Anal. 222, No. 3, 1161-1216 (2016). Reviewer: Natalia Bondarenko (Saratov) MSC: 35Q35 76B25 35B35 35B40 76B15 PDFBibTeX XMLCite \textit{R. L. Pego} and \textit{S.-M. Sun}, Arch. Ration. Mech. Anal. 222, No. 3, 1161--1216 (2016; Zbl 1362.35240) Full Text: DOI arXiv
Chen, Hongqiu; Wang, Xiaojun Stability of the solitary wave solutions to a coupled BBM system. (English) Zbl 1368.35064 J. Differ. Equations 261, No. 2, 1604-1621 (2016). MSC: 35C08 35B35 PDFBibTeX XMLCite \textit{H. Chen} and \textit{X. Wang}, J. Differ. Equations 261, No. 2, 1604--1621 (2016; Zbl 1368.35064) Full Text: DOI arXiv
Bhattarai, Santosh Stability of normalized solitary waves for three coupled nonlinear Schrödinger equations. (English) Zbl 1326.35331 Discrete Contin. Dyn. Syst. 36, No. 4, 1789-1811 (2016). MSC: 35Q55 35B35 35A15 35C08 35B09 PDFBibTeX XMLCite \textit{S. Bhattarai}, Discrete Contin. Dyn. Syst. 36, No. 4, 1789--1811 (2016; Zbl 1326.35331) Full Text: DOI arXiv
De Bièvre, Stephan; Genoud, François; Nodari, Simona Rota Orbital stability: analysis meets geometry. (English) Zbl 1347.37122 Besse, Christophe (ed.) et al., Nonlinear optical and atomic systems. At the interface of physics and mathematics. Based on lecture notes given at the 2013 Painlevé-CEMPI-PhLAM thematic semester. Cham: Springer; Lille: Centre Européen pour les Mathématiques, la Physiques et leurs Interactions (CEMPI) (ISBN 978-3-319-19014-3/pbk; 978-3-319-19015-0/ebook). Lecture Notes in Mathematics 2146, 147-273 (2015). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37K45 37K05 37J25 37-01 35Q55 PDFBibTeX XMLCite \textit{S. De Bièvre} et al., Lect. Notes Math. 2146, 147--273 (2015; Zbl 1347.37122) Full Text: DOI arXiv
Fu, Y. B.; Il’ichev, A. T. Localized standing waves in a hyperelastic membrane tube and their stabilization by a mean flow. (English) Zbl 1338.74086 Math. Mech. Solids 20, No. 10, 1198-1214 (2015). MSC: 74L15 74J99 92C10 PDFBibTeX XMLCite \textit{Y. B. Fu} and \textit{A. T. Il'ichev}, Math. Mech. Solids 20, No. 10, 1198--1214 (2015; Zbl 1338.74086) Full Text: DOI Link
Zhang, Wei-guo; Li, Hui-wen; Bu, Xiao-shuang; Bian, Lan-yun Orbital stability of solitary waves of compound KdV-type equation. (English) Zbl 1338.35039 Acta Math. Appl. Sin., Engl. Ser. 31, No. 4, 1033-1042 (2015). MSC: 35B35 35Q53 35Q51 PDFBibTeX XMLCite \textit{W.-g. Zhang} et al., Acta Math. Appl. Sin., Engl. Ser. 31, No. 4, 1033--1042 (2015; Zbl 1338.35039) Full Text: DOI
Klein, Christian; Saut, Jean-Claude IST versus PDE: a comparative study. (English) Zbl 1331.35306 Guyenne, Philippe (ed.) et al., Hamiltonian partial differential equations and applications. Selected papers based on the presentations at the conference on Hamiltonian PDEs: analysis, computations and applications, Toronto, Canada, January 10–12, 2014. Toronto: The Fields Institute for Research in the Mathematical Sciences; New York, NY: Springer (ISBN 978-1-4939-2949-8/hbk; 978-1-4939-2950-4/ebook). Fields Institute Communications 75, 383-449 (2015). MSC: 35Q53 PDFBibTeX XMLCite \textit{C. Klein} and \textit{J.-C. Saut}, Fields Inst. Commun. 75, 383--449 (2015; Zbl 1331.35306) Full Text: DOI arXiv
Pava, Jaime Angulo; Brango, Carlos Alberto Banquet Instability of periodic traveling waves for the symmetric regularized long wave equation. (English) Zbl 1341.35144 Nagoya Math. J. 219, 235-268 (2015). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q51 35C07 35B35 35B10 35B20 PDFBibTeX XMLCite \textit{J. A. Pava} and \textit{C. A. B. Brango}, Nagoya Math. J. 219, 235--268 (2015; Zbl 1341.35144) Full Text: DOI
Natali, Fábio; Pastor, Ademir The fourth-order dispersive nonlinear Schrödinger equation: orbital stability of a standing wave. (English) Zbl 1331.35325 SIAM J. Appl. Dyn. Syst. 14, No. 3, 1326-1347 (2015). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q55 35B35 37K45 76B25 PDFBibTeX XMLCite \textit{F. Natali} and \textit{A. Pastor}, SIAM J. Appl. Dyn. Syst. 14, No. 3, 1326--1347 (2015; Zbl 1331.35325) Full Text: DOI arXiv
Hur, Vera Mikyoung; Johnson, Mathew A. Stability of periodic traveling waves for nonlinear dispersive equations. (English) Zbl 1327.35032 SIAM J. Math. Anal. 47, No. 5, 3528-3554 (2015). MSC: 35B35 35Q53 35B10 35C07 PDFBibTeX XMLCite \textit{V. M. Hur} and \textit{M. A. Johnson}, SIAM J. Math. Anal. 47, No. 5, 3528--3554 (2015; Zbl 1327.35032) Full Text: DOI arXiv
Mizumachi, Tetsu Stability of line solitons for the KP-II equation in \(\mathbb {R}^2\). (English) Zbl 1329.35056 Mem. Am. Math. Soc. 1125, vii, 95 p. (2015). MSC: 35B35 37K40 35Q35 35C08 PDFBibTeX XMLCite \textit{T. Mizumachi}, Stability of line solitons for the KP-II equation in \(\mathbb {R}^2\). Providence, RI: American Mathematical Society (AMS) (2015; Zbl 1329.35056) Full Text: DOI arXiv
Natali, Fábio; Pastor, Ademir Orbital instability of standing waves for the quadratic-cubic Klein-Gordon-Schrödinger system. (English) Zbl 1327.76038 Z. Angew. Math. Phys. 66, No. 4, 1341-1354 (2015). MSC: 76B25 35Q51 35Q53 PDFBibTeX XMLCite \textit{F. Natali} and \textit{A. Pastor}, Z. Angew. Math. Phys. 66, No. 4, 1341--1354 (2015; Zbl 1327.76038) Full Text: DOI
Segata, Jun-ichi Initial value problem for the fourth order nonlinear Schrödinger type equation on torus and orbital stability of standing waves. (English) Zbl 1323.35165 Commun. Pure Appl. Anal. 14, No. 3, 843-859 (2015). Reviewer: Marin I. Marin (Braşov) MSC: 35Q55 35B35 35B40 PDFBibTeX XMLCite \textit{J.-i. Segata}, Commun. Pure Appl. Anal. 14, No. 3, 843--859 (2015; Zbl 1323.35165) Full Text: DOI
Erbay, H. A.; Erbay, S.; Erkip, A. Existence and stability of traveling waves for a class of nonlocal nonlinear equations. (English) Zbl 1332.35062 J. Math. Anal. Appl. 425, No. 1, 307-336 (2015). MSC: 35C07 35C08 35B44 35B35 35S05 PDFBibTeX XMLCite \textit{H. A. Erbay} et al., J. Math. Anal. Appl. 425, No. 1, 307--336 (2015; Zbl 1332.35062) Full Text: DOI arXiv
Pigott, Brian; Raynor, Sarah Asymptotic stability for KdV solitons in weighted spaces via iteration. (English) Zbl 1323.35160 Ill. J. Math. 58, No. 2, 443-470 (2014). Reviewer: Ahmed Lesfari (El Jadida) MSC: 35Q53 35B35 37K40 35B40 37K45 35Q51 PDFBibTeX XMLCite \textit{B. Pigott} and \textit{S. Raynor}, Ill. J. Math. 58, No. 2, 443--470 (2014; Zbl 1323.35160) Full Text: arXiv Euclid
Nguyen, Nghiem V. Stability of solitary waves for the vector nonlinear Schrödinger equation in higher-order Sobolev spaces. (English) Zbl 1306.35121 J. Math. Anal. Appl. 409, No. 2, 946-962 (2014). MSC: 35Q55 35C08 35B35 PDFBibTeX XMLCite \textit{N. V. Nguyen}, J. Math. Anal. Appl. 409, No. 2, 946--962 (2014; Zbl 1306.35121) Full Text: DOI
Sun, Shu-Ming Existence theory of capillary-gravity waves on water of finite depth. (English) Zbl 1308.76042 Math. Control Relat. Fields 4, No. 3, 315-363 (2014). MSC: 76B15 35Q31 76B25 PDFBibTeX XMLCite \textit{S.-M. Sun}, Math. Control Relat. Fields 4, No. 3, 315--363 (2014; Zbl 1308.76042) Full Text: DOI
Esfahani, Amin; Pourgholi, Reza Dynamics of solitary waves of the Rosenau-RLW equation. (English) Zbl 1301.35104 Differ. Equ. Dyn. Syst. 22, No. 1, 93-111 (2014). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 35Q35 35C08 35B35 PDFBibTeX XMLCite \textit{A. Esfahani} and \textit{R. Pourgholi}, Differ. Equ. Dyn. Syst. 22, No. 1, 93--111 (2014; Zbl 1301.35104) Full Text: DOI
Khare, Avinash; Saxena, Avadh Superposition of elliptic functions as solutions for a large number of nonlinear equations. (English) Zbl 1288.35153 J. Math. Phys. 55, No. 3, 032701, 25 p. (2014). MSC: 35C05 35G20 33C45 33E05 35Q55 PDFBibTeX XMLCite \textit{A. Khare} and \textit{A. Saxena}, J. Math. Phys. 55, No. 3, 032701, 25 p. (2014; Zbl 1288.35153) Full Text: DOI arXiv
Pigott, Brian Polynomial-in-time upper bounds for the orbital instability of subcritical generalized Korteweg-de Vries equations. (English) Zbl 1291.35305 Commun. Pure Appl. Anal. 13, No. 1, 389-418 (2014). MSC: 35Q53 42B35 37K10 PDFBibTeX XMLCite \textit{B. Pigott}, Commun. Pure Appl. Anal. 13, No. 1, 389--418 (2014; Zbl 1291.35305) Full Text: DOI
Chen, Aiyong; Ding, Yong; Huang, Wentao Nonuniform continuity of the osmosis \(K(2, 2)\) equation. (English) Zbl 1470.35357 Abstr. Appl. Anal. 2013, Article ID 717042, 8 p. (2013). MSC: 35Q92 35Q53 35C07 PDFBibTeX XMLCite \textit{A. Chen} et al., Abstr. Appl. Anal. 2013, Article ID 717042, 8 p. (2013; Zbl 1470.35357) Full Text: DOI
Restuccia, Alvaro; Sotomayor, Adriań Stability of solitonic solutions of super KdV equations under susy breaking conditions. (English) Zbl 1295.35068 Bound. Value Probl. 2013, Paper No. 224, 10 p. (2013). MSC: 35B35 35C08 35Q53 PDFBibTeX XMLCite \textit{A. Restuccia} and \textit{A. Sotomayor}, Bound. Value Probl. 2013, Paper No. 224, 10 p. (2013; Zbl 1295.35068) Full Text: DOI arXiv
Restuccia, A.; Sotomayor, A. The Hamiltonian structure of a coupled system derived from a supersymmetric breaking of super Korteweg-de Vries equations. (English) Zbl 1284.81148 J. Math. Phys. 54, No. 11, 113510, 7 p. (2013). MSC: 81Q60 35Q53 35C08 81R40 PDFBibTeX XMLCite \textit{A. Restuccia} and \textit{A. Sotomayor}, J. Math. Phys. 54, No. 11, 113510, 7 p. (2013; Zbl 1284.81148) Full Text: DOI arXiv
Segata, Jun-ichi Orbital stability of a two parameter family of solitary waves for a fourth order nonlinear Schrödinger type equation. (English) Zbl 1285.35112 J. Math. Phys. 54, No. 6, 061503, 6 p. (2013). MSC: 35Q55 35C08 35A15 35B35 PDFBibTeX XMLCite \textit{J.-i. Segata}, J. Math. Phys. 54, No. 6, 061503, 6 p. (2013; Zbl 1285.35112) Full Text: DOI
Hakkaev, Sevdzhan Nonlinear stability of periodic traveling waves of the BBM system. (English) Zbl 1277.35046 Commun. Math. Anal. 15, No. 2, 39-51 (2013). MSC: 35B35 35B40 35G30 35C07 35B10 PDFBibTeX XMLCite \textit{S. Hakkaev}, Commun. Math. Anal. 15, No. 2, 39--51 (2013; Zbl 1277.35046) Full Text: Euclid
Hakkaev, Sevdzhan; Iliev, Iliya D.; Kirchev, Kiril Stability of periodic traveling waves for the quadratic and cubic nonlinear schrödinger equations. (English) Zbl 1270.35081 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 5, Article ID 1350090, 20 p. (2013). MSC: 35B35 35Q55 35C07 PDFBibTeX XMLCite \textit{S. Hakkaev} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 5, Article ID 1350090, 20 p. (2013; Zbl 1270.35081) Full Text: DOI arXiv
Bona, J. L.; Chen, H.; Karakashian, O.; Xing, Y. Conservative, discontinuous Galerkin-methods for the generalized Korteweg-de Vries equation. (English) Zbl 1276.65058 Math. Comput. 82, No. 283, 1401-1432 (2013). Reviewer: Constantin Popa (Constanţa) MSC: 65M60 35Q35 35Q51 35Q53 35Q86 76B15 76B25 65M20 65M15 PDFBibTeX XMLCite \textit{J. L. Bona} et al., Math. Comput. 82, No. 283, 1401--1432 (2013; Zbl 1276.65058) Full Text: DOI
Almgren, A.; Camassa, R.; Tiron, R. Shear instability of internal solitary waves in Euler fluids with thin pycnoclines. (English) Zbl 1275.76100 J. Fluid Mech. 710, 324-361 (2012). MSC: 76E15 76B25 PDFBibTeX XMLCite \textit{A. Almgren} et al., J. Fluid Mech. 710, 324--361 (2012; Zbl 1275.76100) Full Text: DOI
Álvarez, J.; Durán, A. On the preservation of invariants in the simulation of solitary waves in some nonlinear dispersive equations. (English) Zbl 1247.65122 Commun. Nonlinear Sci. Numer. Simul. 17, No. 2, 637-649 (2012). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65M20 35Q53 35L75 65M15 PDFBibTeX XMLCite \textit{J. Álvarez} and \textit{A. Durán}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 2, 637--649 (2012; Zbl 1247.65122) Full Text: DOI
Mizumachi, Tetsu; Tzvetkov, Nikolay Stability of the line soliton of the KP-II equation under periodic transverse perturbations. (English) Zbl 1233.35174 Math. Ann. 352, No. 3, 659-690 (2012). MSC: 35Q53 35B35 35C08 35Q35 PDFBibTeX XMLCite \textit{T. Mizumachi} and \textit{N. Tzvetkov}, Math. Ann. 352, No. 3, 659--690 (2012; Zbl 1233.35174) Full Text: DOI arXiv
Banquet Brango, Carlos The symmetric regularized-long-wave equation: well-posedness and nonlinear stability. (English) Zbl 1252.35130 Physica D 241, No. 2, 125-133 (2012). MSC: 35G25 35C07 35B35 PDFBibTeX XMLCite \textit{C. Banquet Brango}, Physica D 241, No. 2, 125--133 (2012; Zbl 1252.35130) Full Text: DOI arXiv
Zhang, Weiguo; Li, Xiang Approximate damped oscillatory solutions for generalized KdV-Burgers equation and their error estimates. (English) Zbl 1228.35211 Abstr. Appl. Anal. 2011, Article ID 807860, 26 p. (2011). MSC: 35Q53 35C07 35C08 PDFBibTeX XMLCite \textit{W. Zhang} and \textit{X. Li}, Abstr. Appl. Anal. 2011, Article ID 807860, 26 p. (2011; Zbl 1228.35211) Full Text: DOI
Martel, Yvan; Merle, Frank Description of two soliton collision for the quartic gKdV equation. (English) Zbl 1300.37045 Ann. Math. (2) 174, No. 2, 757-857 (2011). MSC: 37K10 35Q53 35Q51 PDFBibTeX XMLCite \textit{Y. Martel} and \textit{F. Merle}, Ann. Math. (2) 174, No. 2, 757--857 (2011; Zbl 1300.37045) Full Text: DOI arXiv
Zhang, Weiguo; Shi, Gaolong; Qin, Yinghao; Wei, Gongming; Guo, Boling Orbital stability of solitary waves for the compound KdV equation. (English) Zbl 1216.35129 Nonlinear Anal., Real World Appl. 12, No. 3, 1627-1639 (2011). MSC: 35Q53 35Q51 35C08 35B35 35B40 35P05 PDFBibTeX XMLCite \textit{W. Zhang} et al., Nonlinear Anal., Real World Appl. 12, No. 3, 1627--1639 (2011; Zbl 1216.35129) Full Text: DOI
Angulo, Jaime; Scialom, Márcia; Banquet, Carlos The regularized Benjamin-Ono and BBM equations: well-posedness and nonlinear stability. (English) Zbl 1210.35205 J. Differ. Equations 250, No. 11, 4011-4036 (2011). MSC: 35Q53 35B35 35B10 PDFBibTeX XMLCite \textit{J. Angulo} et al., J. Differ. Equations 250, No. 11, 4011--4036 (2011; Zbl 1210.35205) Full Text: DOI
Chen, Jianqing On the inhomogeneous nonlinear Schrödinger equation with harmonic potential and unbounded coefficient. (English) Zbl 1224.35083 Czech. Math. J. 60, No. 3, 715-736 (2010). MSC: 35J20 35Q55 PDFBibTeX XMLCite \textit{J. Chen}, Czech. Math. J. 60, No. 3, 715--736 (2010; Zbl 1224.35083) Full Text: DOI EuDML Link
Johnson, Mathew A.; Zumbrun, Kevin; Bronski, Jared C. On the modulation equations and stability of periodic generalized Korteweg-de Vries waves via Bloch decompositions. (English) Zbl 1211.37087 Physica D 239, No. 23-24, 2057-2065 (2010). Reviewer: Svetlana A. Grishina (Ulyanovsk) MSC: 37K45 35Q53 35B35 PDFBibTeX XMLCite \textit{M. A. Johnson} et al., Physica D 239, No. 23--24, 2057--2065 (2010; Zbl 1211.37087) Full Text: DOI arXiv
Bronski, Jared C.; Johnson, Mathew A. The modulational instability for a generalized Korteweg-de Vries equation. (English) Zbl 1221.35325 Arch. Ration. Mech. Anal. 197, No. 2, 357-400 (2010). MSC: 35Q53 35B35 PDFBibTeX XMLCite \textit{J. C. Bronski} and \textit{M. A. Johnson}, Arch. Ration. Mech. Anal. 197, No. 2, 357--400 (2010; Zbl 1221.35325) Full Text: DOI arXiv
Nivala, Michael; Deconinck, Bernard Periodic finite-genus solutions of the KdV equation are orbitally stable. (English) Zbl 1189.37080 Physica D 239, No. 13, 1147-1158 (2010). MSC: 37K45 37K10 35Q53 PDFBibTeX XMLCite \textit{M. Nivala} and \textit{B. Deconinck}, Physica D 239, No. 13, 1147--1158 (2010; Zbl 1189.37080) Full Text: DOI
Johnson, Mathew A. The transverse instability of periodic waves in Zakharov-Kuznetsov type equations. (English) Zbl 1190.35201 Stud. Appl. Math. 124, No. 4, 323-345 (2010). MSC: 35Q53 35B10 35B35 35C07 35C20 PDFBibTeX XMLCite \textit{M. A. Johnson}, Stud. Appl. Math. 124, No. 4, 323--345 (2010; Zbl 1190.35201) Full Text: DOI arXiv
Natali, Fábio A note on the stability for Kawahara-KdV type equations. (English) Zbl 1194.35380 Appl. Math. Lett. 23, No. 5, 591-596 (2010). MSC: 35Q53 35C07 35C08 35B35 PDFBibTeX XMLCite \textit{F. Natali}, Appl. Math. Lett. 23, No. 5, 591--596 (2010; Zbl 1194.35380) Full Text: DOI arXiv
Panthee, M.; Scialom, M. Asymptotic behavior for a class of solutions to the critical modified Zakharov-Kuznetsov equation. (English) Zbl 1187.35221 Stud. Appl. Math. 124, No. 3, 229-245 (2010). MSC: 35Q53 35B40 35C08 35B35 PDFBibTeX XMLCite \textit{M. Panthee} and \textit{M. Scialom}, Stud. Appl. Math. 124, No. 3, 229--245 (2010; Zbl 1187.35221) Full Text: DOI Link
Hakkaev, Sevdzhan; Iliev, Iliya D.; Kirchev, Kiril Stability of periodic traveling waves for complex modified Korteweg-de Vries equation. (English) Zbl 1187.35211 J. Differ. Equations 248, No. 10, 2608-2627 (2010). MSC: 35Q53 35C07 35B10 35B35 35B60 PDFBibTeX XMLCite \textit{S. Hakkaev} et al., J. Differ. Equations 248, No. 10, 2608--2627 (2010; Zbl 1187.35211) Full Text: DOI arXiv