Some physical structures for the \((2+1)\)-dimensional Boussinesq water equation with positive and negative exponents

DOI10.1016/j.camwa.2007.12.013zbMath1155.76310OpenAlexW1972279123MaRDI QIDQ1004674

Yuan Zhou, Shaoyong Lai, Yong-Hong Wu

Publication date: 12 March 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.12.013

zbMATH Keywords

travelling wavesnonlinear partial differential equationphysical structures\((2+1)\)-dimensional spaceBoussinesq water equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

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Cites Work

• New exact traveling wave solutions for the two-dimensional KdV-Burgers and Boussinesq equations
• Compactons dispersive structures for variants of the \(K(n,n)\) and the KP equations
• General compactons solutions and solitary patterns solutions for modified nonlinear dispersive equations \(mK(n,n)\) in higher dimensional spaces
• The global solution of an initial boundary value problem for the damped Boussinesq equation
• The asymptotic theory of global solutions for semilinear wave equations in three space dimensions
• The exact and numerical solitary-wave solutions for generalized modified Boussinesq equation
• On the transverse instabilities of solitary waves.
• New exact solutions to a solutions to a system of coupled KdV equations
• A note on the homogeneous balance method
• Variants of the two-dimensional Boussinesq equation with compactons, solitons, and periodic solutions
• Extended tanh-function method and its applications to nonlinear equations
• The asymptotic solution of the Cauchy problem for a generalized Boussinesq equation
• Compactons: Solitons with finite wavelength
• New exact solutions of the Boussinesq equation
• Soliton solutions for a generalized Hirota-Satsuma coupled KdV equation and a coupled MKdV equation

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