The dynamical property of a nonlinear shallow water wave equation with inhomogeneous boundary conditions
DOI10.1016/j.rinam.2023.100427OpenAlexW4390300296MaRDI QIDQ6197609
Shaoyong Lai, Jian-Gang Tang, Xiaoli Zhang
Publication date: 20 March 2024
Published in: Results in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.rinam.2023.100427
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Soliton solutions (35C08)
Cites Work
- Unnamed Item
- The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
- A type of bounded traveling wave solutions for the Fornberg-Whitham equation
- Periodic and solitary wave solutions to the Fornberg-Whitham equation
- Solitons, peakons and periodic cusp wave solutions for the Fornberg-Whitham equation
- On the blow-up of solutions for the Fornberg-Whitham equation
- Discontinuous traveling waves as weak solutions to the Fornberg-Whitham equation
- Well-posedness and continuity properties of the Fornberg-Whitham equation in Besov spaces
- Smooth travelling wave solutions in a generalized Degasperis-Procesi equation
- Wave breaking to a shallow water wave equation involving the Fornberg-Whitham model
- Exact kink wave solutions and peakons of a generalized Camassa-Holm equation
- Wave breaking for the Fornberg-Whitham equation
- Cuspons and smooth solitons of the Degasperis-Procesi equation under inhomogeneous boundary condition
- Explicit solutions of the Camassa-Holm equation
- The local strong solution and wave breaking feature to a Camassa-Holm type equation
- Single peak solitary wave solutions for the Fornberg–Whitham equation
- A numerical and theoretical study of certain nonlinear wave phenomena
- An integrable shallow water equation with peaked solitons
- Traveling Wave Solutions of the Camassa-Holm and Korteweg-de Vries Equations
- Variational methods and applications to water waves
- Notes on wave-breaking phenomena for a Fornberg-Whitham-type equation
- Norm inflation and ill-posedness for the Fornberg-Whitham equation
This page was built for publication: The dynamical property of a nonlinear shallow water wave equation with inhomogeneous boundary conditions
