Author: "Fan, Xinghua" / Topic: bifurcation method - Searchworks@Jio Institute Digital Library Search Results

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Start Over Author "Fan, Xinghua" Topic bifurcation method

Author: Fan, Xinghua, Yang, Shouxiang, Yin, Jiuli, and Tian, Lixin
Subjects: *NUMERICAL solutions to differential equations, *SOLITONS, *BIFURCATION theory, *WATER waves, *PARAMETER estimation, *MATHEMATICAL models, *SMOOTHNESS of functions, *MATHEMATICS
Abstract: Abstract: A two-component Fornberg–Whitham equation is introduced as a model for water waves. The bifurcations of traveling wave solutions are studied. Parametric conditions to smooth soliton solution, kink solution, antikink solution and uncountable infinite many smooth periodic wave solutions are given. Some expressions for those solutions are presented. [Copyright &y& Elsevier]
Published: 2011
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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
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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
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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
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