Existence of traveling-wave solutions to Boussinesq systems.

zbMath1249.35286MaRDI QIDQ417029

J. Herrera, H. S. Yoon

Publication date: 11 May 2012

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

existenceBoussinesq systemtraveling wave

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Traveling wave solutions (35C07) Systems of nonlinear higher-order PDEs (35G50)

Related Items (12)

Quintic B-spline collocation method for the numerical solution of the Bona-Smith family of Boussinesq equation type ⋮ Travelling waves in the Boussinesq type systems ⋮ The Boussinesq systems on the background of a line solitary wave ⋮ Numerical Analysis and Approximate Travelling Wave Solutions for a Higher Order Internal Wave System ⋮ An a posteriori KAM theorem for whiskered tori in Hamiltonian partial differential equations with applications to some ill-posed equations ⋮ Solitary waves and a stability analysis of an equation of short and long dispersive waves ⋮ Solitary wave solutions of a Whitham-Boussinesq system ⋮ Solitary wave solutions to a class of modified Green-Naghdi systems ⋮ Asymptotic dynamics for the small data weakly dispersive one-dimensional Hamiltonian ABCD system ⋮ Global bifurcation of solitary waves to the Boussinesq \textit{abcd} system ⋮ The scattering problem for Hamiltonian ABCD Boussinesq systems in the energy space ⋮ Existence and symmetry of ground states to the Boussinesq \textit{abcd} systems

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