TRAVELING WAVES FOR AN INTEGRABLE HIGHER ORDER KDV TYPE WAVE EQUATIONS

DOI10.1142/S0218127406016033zbMath1192.37100OpenAlexW2029328754MaRDI QIDQ3579262

Jianhong Wu, Huai-Ping Zhu, Ji-Bin Li

Publication date: 6 August 2010

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127406016033

zbMATH Keywords

smoothness of wavekink and anti-kink wave solutionsperiodic traveling wave solutionsolitary traveling wave solutionnonlinear wave equation of KdV type

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

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Cites Work

• On a class of physically important integrable equations
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Interactions and stability of solitary waves in shallow water.
• Traveling wave solutions for a class of nonlinear dispersive equations
• Soliton-like solutions of higher order wave equations of the Korteweg–de Vries type
• Smooth and non-smooth traveling waves in a nonlinearly dispersive equation

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