Existence of kink waves and periodic waves for a perturbed defocusing mKdV equation

DOI10.1007/s12346-017-0249-9zbMath1405.35183OpenAlexW2738273254MaRDI QIDQ1617231

Lina Guo, Aiyong Chen, Wen-tao Huang

Publication date: 7 November 2018

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-017-0249-9

zbMATH Keywords

Picard-Fuchs equationperiodic wavemKdV equationabelian integralkink wave

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items (10)

The solitary wave, kink and anti-kink solutions coexist at the same speed in a perturbed nonlinear Schrödinger equation ⋮ Considering the shallow water of a wide channel or an open sea through a generalized \((2+1)\)-dimensional dispersive long-wave system ⋮ Existence of periodic waves for a perturbed quintic BBM equation ⋮ Persistence of kink and periodic waves to singularly perturbed two-component Drinfel'd-Sokolov-Wilson system ⋮ Existence of periodic wave of a BBM equation with delayed convection and weak diffusion ⋮ Solitary waves of singularly perturbed generalized KdV equation with high order nonlinearity ⋮ Existence of traveling wave solutions for a generalized Burgers-Fisher equation with weak convection ⋮ Existence of traveling wave solutions for the perturbed modefied Gardner equation ⋮ Limit speed of traveling wave solutions for the perturbed generalized KdV equation ⋮ New solitary wave solutions in a perturbed generalized BBM equation

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