Dynamics of Traveling Wave Solutions to a New Highly Nonlinear Shallow Water Wave Equation

DOI10.1142/S0218127417500444zbMath1360.34102MaRDI QIDQ2986004

Kit-Ian Kou, Ji-Bin Li

Publication date: 11 May 2017

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

zbMATH Keywords

shallow water equationsolitary wave solutionperiodic wave solutioncompacton solutionperiodic peakon solutionquasi-peakon solution

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) KdV equations (Korteweg-de Vries equations) (35Q53) Bifurcation theory for ordinary differential equations (34C23) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items

Equivalent transformations, bifurcations and exact solutions to a class of variable-coefficient PDE ⋮ The Cauchy problem for shallow water waves of large amplitude in Besov space ⋮ Bifurcation analysis and dynamics of abundant traveling waves of the modified Novikov equation ⋮ More on Bifurcations and Dynamics of Traveling Wave Solutions for a Higher-Order Shallow Water Wave Equation

Cites Work

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• A new highly nonlinear shallow water wave equation
• ON A CLASS OF SINGULAR NONLINEAR TRAVELING WAVE EQUATIONS
• An integrable shallow water equation with peaked solitons
• Camassa–Holm, Korteweg–de Vries and related models for water waves
• On the Non-Dimensionalisation, Scaling and Resulting Interpretation of the Classical Governing Equations for Water Waves

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