Author: "Shen, Jianwei" / Topic: equations - Searchworks@Jio Institute Digital Library Search Results

Your search keyword '"Shen, Jianwei"' showing total 7 results

Start Over Author "Shen, Jianwei" Topic equations

Author: Shen, Jianwei, Xu, Wei, and Jin, Yanfei
Subjects: *BIFURCATION theory, *EQUATIONS, *SET theory, *SOLITONS, *MATHEMATICS
Abstract: Abstract: By using bifurcation method to Whitham–Broer–Kaup shallow water equations, bifurcation parameter sets are shown. Numbers of solitary waves, kink waves and periodic waves are given. Under various parameter conditions, all explicit formulas of solitary wave solutions, kink wave solutions and periodic wave solutions are listed. [Copyright &y& Elsevier]
Published: 2005
Full Text: View/download PDF

Author: Xu, Wei and Shen, Jianwei
Subjects: *EQUATIONS, *SOLITONS, *FRACTALS, *DIMENSION theory (Topology)
Abstract: Abstract: Solitary waves and periodic waves for a class of coupled nonlinear Klein–Gordon equations are studied by using the theory of dynamical systems. Under given parameter conditions, explicit formulas of solitary wave solutions and periodic wave solutions are obtained. [Copyright &y& Elsevier]
Published: 2008
Full Text: View/download PDF

Author: Shen, Jianwei and Xu, Wei
Subjects: *BIFURCATION theory, *EQUATIONS, *CUSP forms (Mathematics), *MODULAR forms
Abstract: Abstract: The dynamical behavior of travelling wave solutions in the Generalized Camassa–Holm equation u t +2ku x − u xxt + au m u x =2u x u xx + uu xxx is analyzed by using the bifurcation theory and the method of phase portraits analysis. The condition under which compactons and cusp waves appear are also given. In addition, the reason for solitary cusp wave and periodic cusp wave to exist is highlighted. [Copyright &y& Elsevier]
Published: 2005
Full Text: View/download PDF

Author: Tang, Yaning, Xu, Wei, Shen, Jianwei, and Gao, Liang
Subjects: *BIFURCATION theory, *NUMERICAL solutions to nonlinear differential equations, *STABILITY (Mechanics), *EQUATIONS, *SOLITONS
Abstract: Abstract: In this paper, we studied the bifurcation behaviors and exact traveling wave solutions of the generalized Sinh-Gordon equation under three different functions transformations by using the bifurcation theory of dynamical system. As a result, we obtained all possible traveling wave solutions such as solitary wave solutions, periodic wave solutions, breaking kink wave solutions and compactons under different parametric conditions. [Copyright &y& Elsevier]
Published: 2008
Full Text: View/download PDF

Author: Gao, Liang, Xu, Wei, Shen, Jianwei, and Tang, Yaning
Subjects: *EQUATIONS, *ALGEBRA, *MATHEMATICS, *WAVE equation
Abstract: Abstract: In this paper, nonlinearly dispersive Boussinesq equations (B(m, n) equations) are investigated by using a generalized algebraic method. A variety of explicit and exact travelling wave solutions, such as solitary wave, triangular periodic, rational, Jacobi and Weierstrass doubly periodic solutions, are obtained. Many new results are presented. [Copyright &y& Elsevier]
Published: 2008
Full Text: View/download PDF

Author: Xu, Wei, Gao, Liang, Tang, Yaning, and Shen, Jianwei
Subjects: *COMPLEX variables, *ELLIPTIC functions, *EQUATIONS, *ALGEBRA
Abstract: Abstract: In this paper, explicit and exact travelling wave solutions of B(m, n) equations are investigated by using a generalized algebraic method. A series of explicit exact solutions, such as solitary wave, triangular periodic, rational, Jacobi and Weierstrass elliptic function periodic solutions are obtained. Many new results are presented. [Copyright &y& Elsevier]
Published: 2007
Full Text: View/download PDF

Author: Zhao, Xiaoshan, Xu, Wei, Li, Shuang, and Shen, Jianwei
Subjects: *BIFURCATION theory, *NUMERICAL solutions to nonlinear differential equations, *STABILITY (Mechanics), *EQUATIONS
Abstract: Abstract: By using the theory of bifurcations of dynamical systems to a class of the generalized Benjamin–Bona–Mahony (GBBM) equation, the existence of solitary wave solutions and uncountably infinite, many smooth and non-smooth periodic wave solutions are obtained. It can be shown that the existence of singular curves in a traveling wave system is the reason why smooth waves converge to cusp waves, finally. When parameters are varied, under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given. [Copyright &y& Elsevier]
Published: 2006
Full Text: View/download PDF

Books, media, physical & digital resources

Searchworks