Author: "Ma Song" / Database: Academic Search Index / Topic: mathematical mappings and solitons - Searchworks@Jio Institute Digital Library Search Results

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Start Over Author "Ma Song" Topic mathematical mappings Topic solitons Database Academic Search Index

Author: Ma Song, Fang Jian, Ping and, and Zheng Chun
Subjects: *WAVE analysis, *KORTEWEG-de Vries equation, *CHAOS theory, *MATHEMATICAL mappings, *SOLITONS, *LATTICE theory
Abstract: Starting from an improved mapping approach and a linear variable separation approach, a new family of exact solutions (including solitary wave solutions, periodic wave solutions and rational function solutions) with arbitrary functions for a general (2+1)-dimensional Korteweg de Vries system (GKdV) is derived. According to the derived solutions, we obtain some novel dromion-lattice solitons, complex wave excitations and chaotic patterns for the GKdV system. [ABSTRACT FROM AUTHOR]
Published: 2008
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Author: Ma, Song-Hua, Fang, Jian-Ping, and Zheng, Chun-Long
Subjects: *MATHEMATICAL mappings, *NUMERICAL solutions to nonlinear evolution equations, *SOLITONS, *NONLINEAR theories, *MATHEMATICAL analysis, *MATHEMATICAL functions
Abstract: Abstract: The mapping approach is a kind of classic, efficient and well-developed method to solve nonlinear evolution equations, the remarkable characteristic of which is that we can have many different ansatzs and thus end up with the abundance of solutions. In this paper, with the help of the improved mapping approach, we obtain new exact solutions (including solitary wave solutions, periodic wave solutions and variable separation solutions) of the (3+1)-dimensional Jimbo–Miwa system. [Copyright &y& Elsevier]
Published: 2009
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Author: Ma, Song-Hua, Fang, Jian-Ping, and Zheng, Chun-Long
Subjects: *SOLITONS, *WAVE analysis, *MATHEMATICAL mappings, *SEPARATION of variables, *NONLINEAR theories, *PERIODIC functions
Abstract: Abstract: By means of an extended mapping method and a variable separation method, a series of solitary wave solutions, periodic wave solutions and variable separation solutions to the (2+1)-dimensional breaking soliton system is derived. [Copyright &y& Elsevier]
Published: 2009
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