Wave motions in discontinuous initial-value problem of the inviscid shallow water wave Jaulent-Miodek model

DOI10.3934/dcdsb.2024009zbMath1543.35164MaRDI QIDQ6568799

Deng-Shan Wang, Haili Li

Publication date: 8 July 2024

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

zbMATH Keywords

algebro-geometric solutionsdispersive shock waveWhitham modulation theoryJaulent-Miodek system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) Solitary waves for incompressible inviscid fluids (76B25) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51) Soliton solutions (35C08)

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