The bifurcation and peakon for \(K(2, 2)\) equation with osmosis dispersion

DOI10.1016/j.chaos.2007.08.042zbMath1197.35253OpenAlexW1970874915MaRDI QIDQ600524

Lixin Tian, Chuanhai Xu

Publication date: 31 October 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2007.08.042

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

Related Items (13)

New exact travelling wave solutions for the \(K(2,2)\) equation with osmosis dispersion ⋮ New exact explicit peakon and smooth periodic wave solutions of the \(K(3,2)\) equation ⋮ Bifurcations and exact solutions of a new \((3+1)\)-dimensional Kadomtsev-Petviashvili equation ⋮ Special exact soliton solutions for the \(K(2, 2)\) equation with non-zero constant pedestal ⋮ Exact traveling wave solutions of explicit type, implicit type, and parametric type for \(K(m, n)\) equation ⋮ Bifurcations and Single Peak Solitary Wave Solutions of an Integrable Nonlinear Wave Equation ⋮ Dynamical behavior of loop solutions for the \(K(2, 2)\) equation ⋮ Single peak solitary wave solutions for the osmosis \(K(2,2)\) equation under inhomogeneous boundary condition ⋮ New Miura type transformations between integrable dispersive wave equations ⋮ Symmetric and non-symmetric waves in the osmosis \(K(2, 2)\) equation ⋮ Nonuniform continuity of the osmosis \(K(2, 2)\) equation ⋮ Soliton and periodic wave solutions to the osmosis \(K(2,2)\) equation ⋮ BIFURCATION OF TRAVELING WAVE SOLUTIONS OF THE <inline-formula><tex-math id="M1">$K(M, N)$</tex-math></inline-formula> EQUATION WITH GENERALIZED EVOLUTION TERM

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