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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Mathematics for web-like patterns of solitary in waves in shallow water
浅水波浪 孤单 网状模式
2023/4/1
I will give a review of the KP solitons based on Grassmannians. In the talk, I will also give several physical applications of KP solitons to shallow water wave phenomena, and discuss some initial val...
Analytical Solution of Two Extended Model Equations for Shallow Water Waves by He’s Variational Iteration Method
He’s Variational Iteration Method Shallow Water Wave Equation
2011/12/30
In this paper, we consider two extended model equations for shallow water waves. We use He’s variational iteration method (VIM) to solve them. It is proved that this method is a very good tool for sha...
Existence of strong solutions in a larger space for the shallow-water system
the shallow-water system Analysis of PDEs
2011/7/12
Abstract: This paper is dedicated to the study of both viscous compressible barotropic fluids and Navier-Stokes equation with dependent density, when the viscosity coefficients are variable, in dimens...
On the inconsistency of the Camassa-Holm model with the shallow water theory
Exactly Solvable and Integrable Systems (nlin.SI) Mathematical Physics (math-ph) Fluid Dynamics (physics.flu-dyn)
2010/11/10
In our paper we show that the Camassa-Holm equation does not represent a long wave asymptotic due to a major inconsistency with the theory of shallow water waves. We state that any solution of the Cam...
Reflection of an obliquely incident solitary wave onto a vertical wall is studied analytically and experimentally. We use the Kadomtsev-Petviashivili (KP) equation to analyze the evolution and its asy...
New Exact Solutions of a Generalized Shallow Water Wave Equation
Exact Solutions Generalized Shallow Water Wave Equation
2010/2/18
In this work an extended Jacobian elliptic function method is proposed and applied to the generalized shallow water wave equation. We systematically investigate to classify new exact travelling wave s...
ANTI-DIFFUSIVE FINITE DIFFERENCE WENO METHODS FOR SHALLOW WATER WITHTRANSPORT OF POLLUTANT
2007/12/12
In this paper we further explore and apply our recent anti-diffusive
flux corrected high order finite difference WENO schemes for
conservation laws \cite{ZS} to compute the Saint-Venant system of
s...