On the modeling of shallow-water waves moving over a shear flow
From MaRDI portal
Publication:2060891
DOI10.1016/j.aml.2021.107607OpenAlexW3198323689MaRDI QIDQ2060891
Hao Wang, Jing Kang, Xiao-Chuan Liu
Publication date: 13 December 2021
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2021.107607
PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Soliton equations (35Q51)
Cites Work
- Unnamed Item
- Traveling wave solutions for a class of one-dimensional nonlinear shallow water wave models
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Wave breaking for nonlinear nonlocal shallow water equations
- Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
- Existence of permanent and breaking waves for a shallow water equation: a geometric approach
- A nonlocal shallow-water model with the weak Coriolis and equatorial undercurrent effects
- On the modelling of shallow-water waves with the Coriolis effect
- The Camassa–Holm equation for water waves moving over a shear flow
- An integrable shallow water equation with peaked solitons
- Camassa–Holm, Korteweg–de Vries and related models for water waves