Solitary waves of the generalized KdV equation with distributed delays

DOI10.1016/j.jmaa.2008.02.036zbMath1143.35364OpenAlexW2092168555MaRDI QIDQ2427748

Zhihong Zhao

Publication date: 28 May 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.02.036

zbMATH Keywords

solitary wavehomoclinic orbitdistributed delaygeneralized KdV equationsingular perturbation theory

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (16)

Solitary wave solutions to the generalized coupled mKdV equation with multi-component ⋮ The existence of solitary wave solutions of delayed Camassa-Holm equation via a geometric approach ⋮ Geometric singular perturbation method to the existence and asymptotic behavior of traveling waves for a generalized Burgers-KdV equation ⋮ Existence, uniqueness and asymptotic behavior of traveling wave fronts for a generalized Fisher equation with nonlocal delay ⋮ Solitary waves of singularly perturbed generalized KdV equation with high order nonlinearity ⋮ Traveling waves in a quintic BBM equation under both distributed delay and weak backward diffusion ⋮ Traveling waves of delayed Zakharov-Kuznetsov Kuramoto-Sivashinsky equation ⋮ Existence of traveling wave solutions for a generalized Burgers-Fisher equation with weak convection ⋮ Existence for Korteweg-de Vries-type equation with delay ⋮ Traveling waves in a generalized nonlinear dispersive–dissipative equation ⋮ Solitary waves for Korteweg-de Vries equation with small delay ⋮ Solitary wave solutions for a generalized KdV–mKdV equation with distributed delays ⋮ Solitary waves solutions of singularly perturbed higher-order KdV equation via geometric singular perturbation method ⋮ Persistence of solitary wave solutions to a singularly perturbed generalized mKdV equation ⋮ EXISTENCE OF TRAVELING WAVE FRONTS FOR A GENERALIZED KDV–MKDV EQUATION ⋮ EXISTENCE AND ASYMPTOTIC BEHAVIOR OF TRAVELING WAVE SOLUTION FOR KORTEWEG-DE VRIES-BURGERS EQUATION WITH DISTRIBUTED DELAY

Cites Work

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• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Travelling waves for the population genetics model with delay
• Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
• Method for Solving the Korteweg-deVries Equation
• Resolution of the motion of a perturbed KdV soliton

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