The two Variable (G'/G,1/G) -expansion Method for Finding Exact Traveling Wave Solutions of the (3+1) -Dimensional Nonlinear Potential Yu-Toda-Sasa-Fukuyama equation

DOI

10.2991/icacsei.2013.98How to use a DOI?

Keywords

The two variable (G / G, 1 / G) - expansion method, The (3 + 1)-dimensional potential YTSF equation, Exact traveling wave solutions, Solitary wave solutions.

Abstract

The two variable (G / G, 1 / G) - expansion method is employed to construct exact traveling wave solutions with parameters of the (3 + 1)-dimensional nonlinear potential Yu-Toda-Sasa-Fukuyama (YTSF) equation. When the parameters are replaced by special values, the well-known solitary wave solutions of this equation rediscovered from the traveling waves. This method can be thought of as the generalization of the well-known original (G / G ) -expansion method proposed by M. Wang et al. It is shown that the two variable (G / G, 1 / G) - expansion method provides a more powerful mathematical tool for solving many other nonlinear PDEs in mathematical physics.

Copyright

© 2013, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - E. M. E. Zayed
AU  - S. A. Hoda Ibrahim
PY  - 2013/08
DA  - 2013/08
TI  - The two Variable (G'/G,1/G) -expansion Method for Finding Exact Traveling Wave Solutions of the (3+1) -Dimensional Nonlinear Potential Yu-Toda-Sasa-Fukuyama equation
BT  - Proceedings of the 2013 International Conference on Advanced Computer Science and Electronics Information (ICACSEI 2013)
PB  - Atlantis Press
SP  - 388
EP  - 392
SN  - 1951-6851
UR  - https://doi.org/10.2991/icacsei.2013.98
DO  - 10.2991/icacsei.2013.98
ID  - Zayed2013/08
ER  -