Symmetric waves are traveling waves for a shallow water equation modeling surface waves of moderate amplitude
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Publication:5231009
DOI10.1080/14029251.2015.1129492zbMath1420.35237arXiv1602.00576OpenAlexW2199849318MaRDI QIDQ5231009
Publication date: 29 August 2019
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.00576
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Weak solutions to PDEs (35D30) Symmetries, invariants, etc. in context of PDEs (35B06)
Related Items (10)
Wave breaking for a nonlinear shallow water equation ⋮ Traveling wave solutions of a highly nonlinear shallow water equation ⋮ Well-posedness of a highly nonlinear shallow water equation on the circle ⋮ Symmetric solutions of evolutionary partial differential equations ⋮ Symmetric waves are traveling waves of some shallow water scalar equations ⋮ Symmetric Solutions of Nonlinear Fractional Integral Equations via a New Fixed Point Theorem under FG-Contractive Condition ⋮ Symmetry and decay of traveling wave solutions to the Whitham equation ⋮ Cusped solitary wave with algebraic decay governed by the equation for surface waves of moderate amplitude ⋮ Symmetric waves are traveling waves for the rotation-Camassa-Holm equation ⋮ Exponential decay and symmetry of solitary waves to Degasperis-Procesi equation
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