Comment on ``Solitary wave solutions in (2+1) dimensions: the KdV equation derived from ideal fluid models

DOI10.1007/S10773-024-05804-7MaRDI QIDQ6651672

Kędziora Przemysław, Karczewska Anna, Rozmej Piotr

Publication date: 10 December 2024

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

solitary wave solutions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Bifurcations in context of PDEs (35B32) Soliton solutions (35C08) Euler equations (35Q31)

Cites Work

• Bifurcations of traveling wave solutions from KdV equation to Camassa-Holm equation
• Bifurcations of travelling wave solutions for the generalization form of the modified KdV equation
• (2+1)-dimensional KdV, fifth-order KdV, and Gardner equations derived from the ideal fluid model. Soliton, cnoidal and superposition solutions
• Solitary wave solutions in \((2+1)\) dimensions: the KdV equation derived from ideal fluid models
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