Perturbation solution for the 2D Boussinesq equation

DOI10.1016/J.MECHRESCOM.2011.01.014zbMath1272.76182OpenAlexW2084640917MaRDI QIDQ366715

Mohammad Hasan, M. Dambrine, H. S. Yoon

Publication date: 13 September 2013

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0093641311000267

zbMATH Keywords

Boussinesq equationperturbation methodtwo-dimensional solitary waves

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Solitary waves in solid mechanics (74J35)

Related Items (9)

Stability analysis of solitary wave solutions for the fourth-order nonlinear Boussinesq water wave equation ⋮ Pseudolocalized three-dimensional solitary waves as quasi-particles ⋮ Stability analysis of solutions for the sixth-order nonlinear Boussinesq water wave equations in two-dimensions and its applications ⋮ On the pseudolocalized solutions in multi-dimension of Boussinesq equation ⋮ On the Numerical Simulation of Unsteady Solutions for the 2D Boussinesq Paradigm Equation ⋮ New exact solutions, dynamical and chaotic behaviors for the fourth-order nonlinear generalized Boussinesq water wave equation ⋮ Unnamed Item ⋮ Efficient algorithm and convergence analysis of conservative SAV compact difference scheme for Boussinesq paradigm equation ⋮ Lie symmetry analysis, conservation laws and solitary wave solutions to a fourth-order nonlinear generalized Boussinesq water wave equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Selection of two-dimensional nonlinear strain waves in micro-structured media
• Fourier-Galerkin method for 2D solitons of Boussinesq equation
• Localization of two-dimensional non-linear strain waves in a plate
• On Boussinesq's paradigm in nonlinear wave propagation
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• Soliton and antisoliton interactions in the ‘‘good’’ Boussinesq equation
• INELASTIC INTERACTION OF BOUSSINESQ SOLITONS
• A Complete Orthonormal System of Functions in $L^2 ( - \infty ,\infty )$ Space
• Modeling weakly nonlinear acoustic wave propagation
• Model equations for long waves in nonlinear dispersive systems
• An energy-consistent dispersive shallow-water model.

This page was built for publication: Perturbation solution for the 2D Boussinesq equation