Author: "LI, ZITIAN" / Topic: periodic and solitons - Searchworks@Jio Institute Digital Library Search Results

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Start Over Author "LI, ZITIAN" Topic periodic Topic solitons

Author: Li, Zitian and Dai, Zhengde
Subjects: *NUMERICAL solutions to wave equations, *NONLINEAR waves, *SOLITONS, *BILINEAR forms, *MATHEMATICAL physics, *MATHEMATICAL analysis
Abstract: Abstract: In this paper, the (3+1)-dimensional potential-YTSF equation is investigated. Exact solutions with three-wave form including periodic cross-kink wave, periodic two-solitary wave and breather type of two-solitary wave solutions are obtained using Hirota’s bilinear form and generalized three-wave approach with the aid of symbolic computation. Moreover, the properties for some new solutions are shown with some figures. [Copyright &y& Elsevier]
Published: 2011
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Author: Li, Zitian, Dai, Zhengde, and Liu, Jun
Subjects: *NUMERICAL solutions to wave equations, *SOLITONS, *MATHEMATICAL physics, *NUMERICAL solutions to nonlinear evolution equations, *NONLINEAR waves, *GENERALIZATION
Abstract: Abstract: Exact three-wave solutions including periodic cross-kink wave solutions, doubly periodic solitary wave solutions and breather type of two-solitary wave solutions for the (3+1)-dimensional Jimbo–Miwa equation are obtained using the generalized three-wave method. It is shown that the generalized three-wave method, with the help of symbolic computation, provides an effective and powerful mathematical tool for solving high-dimensional nonlinear evolution equations in mathematical physics. [Copyright &y& Elsevier]
Published: 2011
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Author: LI, Zitian
Subjects: *NUMERICAL solutions to wave equations, *DIMENSIONAL analysis, *NUMERICAL solutions to nonlinear differential equations, *MATHEMATICAL singularities, *SOLITONS, *PERIODIC functions
Abstract: Abstract: New exact solutions including the kink-shaped solutions, bell-shaped solutions, periodic solutions, singular soliton solutions and rational solution for the (2+1)-dimensional Sine-Gordon equation are obtained using the tanh method, the -expansion method and the auxiliary function method, respectively. [Copyright &y& Elsevier]
Published: 2010
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Author: Li, Zitian and Zhang, Xiufeng
Subjects: *MATHEMATICAL variables, *SOLITONS, *RICCATI equation, *MATHEMATICAL mappings, *NUMERICAL solutions to differential equations, *MATHEMATICAL analysis, *PERIODIC functions
Abstract: Abstract: In this short letter, with the aid of symbolic computational system Mathematic, new exact solutions including kink solutions, soliton-like solutions and periodic form solutions for a generalized Zakharov–Kuznetsov equation with variable coefficients are obtained using the generalized Riccati equation mapping method. [Copyright &y& Elsevier]
Published: 2010
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