Step soliton generalized solutions of the shallow water equations
From MaRDI portal
Publication:1760885
DOI10.1155/2012/910659zbMath1251.35077OpenAlexW2094645045WikidataQ58906927 ScholiaQ58906927MaRDI QIDQ1760885
B. Valiño-Alonso, A. Meril, Amaury C. Alvarez
Publication date: 15 November 2012
Published in: Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2012/910659
PDEs in connection with fluid mechanics (35Q35) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Soliton solutions (35C08)
Related Items
Self-consistent sources and conservation laws for a super Broer-Kaup-Kupershmidt equation hierarchy ⋮ A nonlinear theory of generalized functions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hugoniot-type conditions for infinitely narrow solutions of the equation for simple waves
- On the development of the theory of the solitary wave. A historical essay
- New solutions for the one-dimensional nonconservative inviscid Burgers equation
- Particular solutions of shallow-water equations over a non-flat surface
- Multiplication of distributions. A tool in mathematics, numerical engineering and theoretical physics
- A new model of Saint Venant and Savage--Hutter type for gravity driven shallow water flows.
- Solution of shallow-water equations using least-squares finite-element method
- Dissipative Boussinesq equations
- Exact solution of the Riemann problem for the shallow water equations with discontinuous bottom geometry
- Method of lines solutions of the extended Boussinesq equations
- Shallow water equations for large bathymetry variations
- The second approximation to cnoidal and solitary waves
- Influence of bottom topography on long water waves
- Effective Behavior of Solitary Waves over Random Topography
- A concise introduction to Colombeau generalized functions and their applications in classical electrodynamics
- Weakly dispersive nonlinear gravity waves
- Resonant reflection of surface water waves by periodic sandbars
- The runup of solitary waves
- Multiplications of distributions in elasticity and hydrodynamics
- The motion of a finite mass of granular material down a rough incline
- Asymptotic soliton-form solutions of equations with small dispersion
- Generalized Solutions to the Korteweg–de Vries and the Regularized Long-Wave Equations
- A derivation of equations for wave propagation in water of variable depth
- A Terrain-Following Boussinesq System
- Shallow-water theory for arbitrary slopes of the bottom
- Numerical solutions of the shallow water equations with discontinuous bed topography
- Boussinesq-type formulations for fully nonlinear and extremely dispersive water waves: derivation and analysis
- Variational statement of the problem of liquid motion in a container of finite dimensions
- A ninth-order solution for the solitary wave
