Solitary wave solutions to a generalization of the mKdV equation

DOI10.1134/s1061920823020103zbMath1529.35405arXiv2302.11155OpenAlexW4381108707MaRDI QIDQ6174389

Georgii A. Omel'yanov, J. Noyola Rodriguez

Publication date: 14 July 2023

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.11155

zbMATH Keywords

modified Korteweg-de Vries equationsolitary wave solutions

Mathematics Subject Classification ID

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) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Soliton solutions (35C08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Classical solutions to PDEs (35A09)

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