Symmetry Reductions, Integrability and Solitary Wave Solutions to High-Order Modified Boussinesq Equations with Damping Term

DOI10.1088/0253-6102/36/1/1zbMath1164.35505OpenAlexW2400177161MaRDI QIDQ3536630

Zhenya Yan, Fuding Xie, Hong-Qing Zhang

Publication date: 21 November 2008

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/36/1/1

zbMATH Keywords

integrabilitynonlinear evolution equationsolitary wave solutionsymmetry reductionmodified Boussinesq equation with the damping term

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Transform methods (e.g., integral transforms) applied to PDEs (35A22)

Related Items (5)

On the exact solutions of a modified Kortweg de Vries type equation and higher-order modified Boussinesq equation with damping term ⋮ Unnamed Item ⋮ Symmetry multi-reduction method for partial differential equations with conservation laws ⋮ Numerical simulation of the stochastic damped improved Boussinesq equation ⋮ NEW EXACT SOLUTIONS OF A GENERALISED BOUSSINESQ EQUATION WITH DAMPING TERM AND A SYSTEM OF VARIANT BOUSSINESQ EQUATIONS VIA DOUBLE REDUCTION THEORY

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