On periodic and finite genus solutions to the integrable Kaup-Broer system for capillary waves
DOI10.1016/J.APNUM.2023.05.019zbMATH Open1547.35567MaRDI QIDQ6546914
Tanner Fromcke, Alexis Arlen, Patrik V. Nabelek
Publication date: 30 May 2024
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
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) Periodic solutions to PDEs (35B10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Traveling wave solutions (35C07) Soliton solutions (35C08)
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