Exact traveling wave solutions to 2D-generalized Benney-Luke equation

DOI10.1007/S10483-008-1101-XzbMath1353.35237OpenAlexW2091197654MaRDI QIDQ735258

Ji-Bin Li

Publication date: 21 October 2009

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-008-1101-x

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Periodic solutions to PDEs (35B10) Solitary waves for incompressible inviscid fluids (76B25)

Related Items (4)

Unnamed Item ⋮ Traveling wave solutions of a generalized Zakharov-Kuznetsov equation ⋮ Travelling wave solutions to the Benney-Luke and the higher-order improved Boussinesq equations of Sobolev type ⋮ A study of a generalized Benney-Luke equation with time-dependent coefficients

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Solitons and periodic travelling waves for the 2D-generalized Benney–Luke equation
• BIFURCATIONS OF TRAVELING WAVE SOLUTIONS FOR FOUR CLASSES OF NONLINEAR WAVE EQUATIONS

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