Traveling wave solutions of a highly nonlinear shallow water equation

DOI10.3934/dcds.2018065zbMath1397.35209OpenAlexW2776321568MaRDI QIDQ1661019

Ronald Quirchmayr, Anna Geyer

Publication date: 16 August 2018

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2018065

zbMATH Keywords

shallow water equationphase plane analysistraveling waves

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Traveling wave solutions (35C07)

Related Items (6)

Well-posedness of a highly nonlinear shallow water equation on the circle ⋮ The Cauchy problem for shallow water waves of large amplitude in Besov space ⋮ The highly nonlinear shallow water equation: local well-posedness, wave breaking data and non-existence of \(sech^2\) solutions ⋮ Symmetric waves are traveling waves of some shallow water scalar equations ⋮ More on Bifurcations and Dynamics of Traveling Wave Solutions for a Higher-Order Shallow Water Wave Equation ⋮ Nonlinear dispersive equations: classical and new frameworks

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