(2+1)-dimensional KdV, fifth-order KdV, and Gardner equations derived from the ideal fluid model. Soliton, cnoidal and superposition solutions

DOI10.1016/j.cnsns.2023.107317zbMath1523.35257arXiv2206.08964OpenAlexW4378675212MaRDI QIDQ6177741

Piotr Rozmej, Anna Karczewska

Publication date: 31 August 2023

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.08964

zbMATH Keywords

solitonKadomtsev-Petviashvili equationBoussinesq's equations(2+1)-dimensional KdV fifth-order KdV and Gardner equationscnoidal and superposition solutions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Soliton solutions (35C08)

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