Darboux transformation and new solutions for the Whitham–Broer–Kaup equations

DOI10.1088/0031-8949/78/06/065001zbMath1160.37409OpenAlexW2054252134MaRDI QIDQ3616900

Tao Xu, Hai-Qiang Zhang, Bo Tian, Hong-Zhe Li, Li-Li Li

Publication date: 26 March 2009

Published in: Physica Scripta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0031-8949/78/06/065001

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (11)

Vadermonde-Type Odd-Soliton Solutions for the Whitham–Broer–Kaup Model in the Shallow Water Small-Amplitude Regime ⋮ Solitonic interactions and double-Wronskian-type solutions for a variable-coefficient variant Boussinesq model in the long gravity water waves ⋮ Darboux transformation and \(N\)-soliton solutions for a more general set of coupled integrable dispersionless system ⋮ A generalized AKNS hierarchy, bi-Hamiltonian structure, and Darboux transformation ⋮ Gauge transformation, elastic and inelastic interactions for the Whitham-Broer-Kaup shallow-water model ⋮ Fully resonant soliton interactions in the Whitham-Broer-Kaup system based on the double Wronskian solutions ⋮ Darboux transformation and explicit solutions for two integrable equations ⋮ Elastic-inelastic-interaction coexistence and double Wronskian solutions for the Whitham-Broer-Kaup shallow-water-wave model ⋮ New Double Wronskian Solutions of the Whitham-Broer-Kaup System: Asymptotic Analysis and Resonant Soliton Interactions ⋮ Solitonic solutions for a variable-coefficient variant Boussinesq system in the long gravity waves ⋮ N-soliton solutions of the KdV6 and mKdV6 equations

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