Author: "Fan, Xinghua" / Topic: bifurcation method and numerical solutions to differential equations - Searchworks@Jio Institute Digital Library Search Results

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Start Over Author "Fan, Xinghua" Topic bifurcation method Topic numerical solutions to differential equations

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: *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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