Peaked solitary waves and shock waves of the Degasperis-Procesi-Kadomtsev-Petviashvili equation

DOI10.1515/anona-2024-0040MaRDI QIDQ6630690

Chao Yang, Byungsoo Moon

Publication date: 31 October 2024

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

zbMATH Keywords

solitary wavesshock wavesDegasperis-Procesi equationDegasperis-Procesi-Kadomtsev-Petviashvili equation

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) Shock waves and blast waves in fluid mechanics (76L05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Initial value problems for nonlinear higher-order PDEs (35G25) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Soliton solutions (35C08)

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