Symmetric waves are traveling waves of some shallow water scalar equations

DOI10.1002/mma.8830OpenAlexW4307821789MaRDI QIDQ6180781

Bashar Khorbatly

Publication date: 2 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8830

zbMATH Keywords

shallow water equationstraveling wavessymmetric waves

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Traveling wave solutions (35C07)

Related Items

The highly nonlinear shallow water equation: local well-posedness, wave breaking data and non-existence of \(sech^2\) solutions

Cites Work

• A new highly nonlinear shallow water wave equation
• Exponential decay and symmetry of solitary waves to Degasperis-Procesi equation
• The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
• Traveling wave solutions of a highly nonlinear shallow water equation
• Well-posedness and wave breaking for a shallow water wave model with large amplitude
• 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
• Symmetric Waves Are Traveling Waves
• A Modern Introduction to the Mathematical Theory of Water Waves
• Camassa–Holm, Korteweg–de Vries and related models for water waves
• Symmetric solutions of evolutionary partial differential equations
• Well-posedness and persistence property for a shallow water wave equation for waves of large amplitude
• A remark on the well‐posedness of the classical Green–Naghdi system
• Symmetric waves are traveling waves for a shallow water equation modeling surface waves of moderate amplitude

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