The Two-Variable (G′G,1G)-Expansion Method for Solving the Nonlinear KdV-mKdV Equation
Joint Authors
Zayed, Elsayed M. E.
Abdelaziz, M. A. M.
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-20
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We apply the two-variable (G′/G, 1/G)-expansion method to construct new exact traveling wave solutions with parameters of the nonlinear (1+1)-dimensional KdV-mKdV equation.
This method can be thought of as the generalization of the well-known (G′/G)-expansion method given recently by M.
Wang et al.
When the parameters are replaced by special values, the well-known solitary wave solutions of this equation are rediscovered from the traveling waves.
It is shown that the proposed method provides a more general powerful mathematical tool for solving nonlinear evolution equations in mathematical physics.
American Psychological Association (APA)
Zayed, Elsayed M. E.& Abdelaziz, M. A. M.. 2012. The Two-Variable (G′G,1G)-Expansion Method for Solving the Nonlinear KdV-mKdV Equation. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-1029726
Modern Language Association (MLA)
Zayed, Elsayed M. E.& Abdelaziz, M. A. M.. The Two-Variable (G′G,1G)-Expansion Method for Solving the Nonlinear KdV-mKdV Equation. Mathematical Problems in Engineering No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-1029726
American Medical Association (AMA)
Zayed, Elsayed M. E.& Abdelaziz, M. A. M.. The Two-Variable (G′G,1G)-Expansion Method for Solving the Nonlinear KdV-mKdV Equation. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-1029726
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029726