Bifurcations of travelling wave solutions for the \(K(n,-n,2n)\) equations

DOI10.1016/j.amc.2008.01.036zbMath1157.37021OpenAlexW1601837341MaRDI QIDQ2518687

Shengqiang Tang, Wen-tao Huang

Publication date: 16 January 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.01.036

zbMATH Keywords

solitary wave solutionperiodic cusp wave solutionsperiodic travelling wave solutionkink and anti-kink wave solutionthe \(K(n,-n,2n)\) equations

Mathematics Subject Classification ID

Soliton equations (35Q51) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Bifurcations in context of PDEs (35B32)

Related Items (7)

Bifurcations of travelling wave solutions for the generalized \((2+1)\)-dimensional Boussinesq-Kadomtsev-Petviashvili equation ⋮ The \(K(m, n)\) equation with generalized evolution term studied by symmetry reductions and qualitative analysis ⋮ Single peak solitary wave solutions for the generalized KP-MEW \((2,2)\) equation under boundary condition ⋮ Bifurcations of travelling wave solutions for the generalized KP-BBM equation ⋮ Bifurcations of travelling wave solutions for a class of nonlinear fourth order variant of a generalized Camassa-Holm equation ⋮ Bifurcations of traveling wave solutions for the coupled Higgs field equation ⋮ Limit cycles near a homoclinic loop by perturbing a class of integrable systems

Cites Work

• Traveling wave solutions for a class of nonlinear dispersive equations
• Explicit travelling wave solutions of variants of the \(K(n,n)\) and the \(ZK(n,n)\) equations with compact and noncompact structures
• Smooth and non-smooth traveling waves in a nonlinearly dispersive equation

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