In a river or an ocean: similarity-reduction work on a \((3+1)\)-dimensional extended shallow water wave equation

DOI10.1016/j.aml.2024.109310MaRDI QIDQ6656478

Bo Tian, Xiao-Tian Gao

Publication date: 3 January 2025

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

similarity reductions\((3+1)\)-dimensional extended shallow water wave equationwater waves in a river or an ocean

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08) Methods of ordinary differential equations applied to PDEs (35A24)

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