Bifurcations of travelling wave solutions for the Boussinesq equations

DOI10.1016/j.amc.2005.07.011zbMath1088.37040OpenAlexW1979133046MaRDI QIDQ2369134

Hong Li, Shaorong Sun, Ji-Bin Li

Publication date: 28 April 2006

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

Full work available at URL: https://doi.org/10.1016/j.amc.2005.07.011

zbMATH Keywords

smoothness of wavesperiodic travelling wave solutionsolitary travelling wave solutionboussinesq equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Periodic solutions to PDEs (35B10) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Bifurcations in context of PDEs (35B32) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50)

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Cites Work

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• Convergence of solitary-wave solutions in a perturbed bi-Hamiltonian dynamical system. II: Complex analytic behavior and convergence to non-analytic solutions
• Traveling wave solutions for a class of nonlinear dispersive equations
• Smooth and non-smooth traveling waves in a nonlinearly dispersive equation
• Unnamed Item