Search

Your search keyword '"Fan, Xinghua"' showing total 3 results
Start Over Author "Fan, Xinghua" Topic bifurcation method Publication Type Academic Journals
3 results on '"Fan, Xinghua"'

1. New exact travelling wave solutions for the equation with osmosis dispersion

Author

Zhou, Jiangbo, Tian, Lixin, and Fan, Xinghua

Subjects
*NUMERICAL solutions to wave equations, *BIFURCATION theory, *OSMOSIS, *IMPLICIT functions, *NUMERICAL analysis, *SIMULATION methods & models
Abstract

Abstract: In this paper, by using bifurcation method, we successfully find the equation with osmosis dispersion possess two new types of travelling wave solutions called kink-like wave solutions and antikink-like wave solutions. They are defined on some semifinal bounded domains and possess properties of kink waves and anti-kink waves. Their implicit expressions are obtained. For some concrete data, the graphs of the implicit functions are displayed, and the numerical simulation of travelling wave system is made by Maple. The results show that our theoretical analysis agrees with the numerical simulation. [ABSTRACT FROM AUTHOR]

Published
2010
Full Text
View/download PDF

2. Solitary-wave solutions to a dual equation of the Kaup–Boussinesq system

Author

Zhou, Jiangbo, Tian, Lixin, and Fan, Xinghua

Subjects
*SOLITONS, *WAVE equation, *BIFURCATION theory, *SMOOTHING (Numerical analysis), *NUMERICAL solutions to differential equations, *DYNAMICS, *MATHEMATICAL analysis
Abstract

Abstract: In this paper, we employ the bifurcation theory of planar dynamical systems to investigate the travelling-wave solutions to a dual equation of the Kaup–Boussinesq system. The expressions for smooth solitary-wave solutions are obtained. [Copyright &y& Elsevier]

Published
2010
Full Text
View/download PDF

3. Soliton, kink and antikink solutions of a 2-component of the Degasperis–Procesi equation

Author

Zhou, Jiangbo, Tian, Lixin, and Fan, Xinghua

Subjects
*SOLITONS, *BIFURCATION theory, *NUMERICAL solutions to wave equations, *MATHEMATICAL analysis, *NUMERICAL solutions to nonlinear differential equations
Abstract

Abstract: In this paper, we employ the bifurcation theory of planar dynamical systems to investigate the traveling wave solutions of a 2-component of the Degasperis–Procesi equation. The expressions for smooth soliton, kink and antikink solutions are obtained. [Copyright &y& Elsevier]

Published
2010
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results