Bifurcations of travelling wave solutions for \((2 + 1)\)-dimensional Boussinesq-type equation

DOI10.1016/j.amc.2006.07.039zbMath1121.35114OpenAlexW2093610422MaRDI QIDQ870186

Jun-Liang Lu, Tian-Lan He, Da-He Feng

Publication date: 12 March 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.07.039

zbMATH Keywords

solitary wavephase portraitperiodic wavebreaking wavekink wave

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50)

Related Items (9)

All exact traveling wave solutions of the combined KdV-mKdV equation ⋮ Bifurcation studies on travelling wave solutions for nonlinear intensity Klein-Gordon equation ⋮ Exact explicit traveling wave solution for the generalized \((2+1)\)-dimensional Boussinesq equation ⋮ All traveling wave exact solutions of the variant Boussinesq equations ⋮ The general solutions of an auxiliary ordinary differential equation using complex method and its applications ⋮ All meromorphic solutions of some algebraic differential equations and their applications ⋮ All meromorphic solutions of an ordinary differential equation and its applications ⋮ Analytic solutions of the (2 + 1)-dimensional nonlinear evolution equations using the sine-cosine method ⋮ The general traveling wave solutions of the Fisher type equations and some related problems

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Traveling wave solutions for a class of nonlinear dispersive equations
• Cylindrical solitary pulses in a two-dimensional stabilized Kuramoto-Sivashinsky system
• On the transverse instabilities of solitary waves.
• Variants of the two-dimensional Boussinesq equation with compactons, solitons, and periodic solutions
• The Modified Korteweg-de Vries Equation
• Smooth and non-smooth traveling waves in a nonlinearly dispersive equation

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