Asymptotic solutions for singularly perturbed Boussinesq equations

DOI10.1016/j.amc.2012.04.001zbMath1246.35174OpenAlexW2055084050MaRDI QIDQ449478

John Haussermann, Robert A. van Gorder

Publication date: 30 August 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.04.001

zbMATH Keywords

weak solutionsrational solutionsasymptotic seriessingularly perturbed Boussinesq equation

Mathematics Subject Classification ID

Soliton equations (35Q51) Weak solutions to PDEs (35D30) Polynomial solutions to PDEs (35C11)

Cites Work

• Multiple-soliton solutions for the Boussinesq equation
• A second Wronskian formulation of the Boussinesq equation
• Exact solutions of a generalized Boussinesq equation
• A numerical study of an ill-posed Boussinesq equation arising in water and nonlinear lattices: Filtering and regularization techniques
• Analytical and numerical studies of a singularly perturbed Boussinesq equation.
• Traveling solitary wave solutions to the generalized Boussinesq equation
• A shallow water equation on the circle
• An integrable shallow water equation with peaked solitons

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