Exact solutions of a generalized Boussinesq equation

DOI10.1007/S11232-009-0079-2zbMath1179.35261OpenAlexW2013528121MaRDI QIDQ1034487

Maria de los Santos Bruzon Gallego

Publication date: 6 November 2009

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-009-0079-2

zbMATH Keywords

generalized Boussinesq equationLie symmetry grouptraveling-wave solutions

Mathematics Subject Classification ID

Soliton equations (35Q51) Traveling wave solutions (35C07) Trigonometric solutions to PDEs (35C09)

Related Items (9)

Stability analysis of solitary wave solutions for the fourth-order nonlinear Boussinesq water wave equation ⋮ Blow-up and global solvability of the Cauchy problem for a pseudohyperbolic equation related to the generalized Boussinesq equation ⋮ Stability analysis of solutions for the sixth-order nonlinear Boussinesq water wave equations in two-dimensions and its applications ⋮ Asymptotic solutions for singularly perturbed Boussinesq equations ⋮ Symmetries, traveling wave solutions, and conservation laws of a \((3+1)\)-dimensional Boussinesq equation ⋮ New exact solutions, dynamical and chaotic behaviors for the fourth-order nonlinear generalized Boussinesq water wave equation ⋮ Lie symmetry analysis, conservation laws and solitary wave solutions to a fourth-order nonlinear generalized Boussinesq water wave equation ⋮ Group classification and exact solutions of generalized modified Boussinesq equation ⋮ A study for the microwave heating of some chemical reactions through Lie symmetries and conservation laws

Cites Work

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• Similarity Reductions of a Generalized Double Dispersion Equation
• Classical and nonclassical symmetries for a Kuramoto–Sivashinsky equation with dispersive effects
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