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Abundant Explicit and Exact Solutions for the Variable Coefficient mKdV Equations
Joint Authors
Zheng, Xiaoxiao
Shang, Yadong
Huang, Yong
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-19
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
This paper is concerned with the variable coefficients mKdV (VC-mKdV) equation.
First, through some transformation we convert VC-mKdV equation into the constant coefficient mKdV equation.
Then, using the first integral method we obtain the exact solutions of VC-mKdV equation, such as rational function solutions, periodic wave solutions of triangle function, bell-shape solitary wave solution, kink-shape solitary wave solution, Jacobi elliptic function solutions, and Weierstrass elliptic function solution.
Furthermore, with the aid of Mathematica, the extended hyperbolic functions method is used to establish abundant exact explicit solution of VC-mKdV equation.
By the results of the equation, the first integral method and the extended hyperbolic function method are extended from the constant coefficient nonlinear evolution equations to the variable coefficients nonlinear partial differential equation.
American Psychological Association (APA)
Zheng, Xiaoxiao& Shang, Yadong& Huang, Yong. 2013. Abundant Explicit and Exact Solutions for the Variable Coefficient mKdV Equations. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-447181
Modern Language Association (MLA)
Zheng, Xiaoxiao…[et al.]. Abundant Explicit and Exact Solutions for the Variable Coefficient mKdV Equations. Abstract and Applied Analysis No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-447181
American Medical Association (AMA)
Zheng, Xiaoxiao& Shang, Yadong& Huang, Yong. Abundant Explicit and Exact Solutions for the Variable Coefficient mKdV Equations. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-447181
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-447181