Volume 2, Issue 4, April 2013, Pages 661–664
Muhammad Younis1 and Asim Zafar2
1 Centre for Undergraduate Studies, University of the Punjab, Quaid-e-Azam Campus, Lahore 54590, Pakistan
2 Centre for Undergraduate Studies, University of the Punjab, Quaid-e-Azam Campus, Lahore 54590, Pakistan
Original language: English
Copyright © 2013 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
In this article, the modified simple equation method has been implemented to construct the new exact travelling wave solutions to nonlinear evolution equations. This method is very easy, direct, concise and simple to implement as compared with other existing methods. As an application, this method has been successfully implemented to construct the new exact travelling wave solutions to nonlinear Phi-four evolution equation. Since, the homogeneous balancing principle has been used, so we can claim that this method can be applied to other nonlinear partial differential equations or nonlinear evolution equations where the homogeneous balancing principle is satisfied.
Author Keywords: Travelling wave solutions, Modified simple equation method, Nonlinear Phi-Four equation.
Muhammad Younis1 and Asim Zafar2
1 Centre for Undergraduate Studies, University of the Punjab, Quaid-e-Azam Campus, Lahore 54590, Pakistan
2 Centre for Undergraduate Studies, University of the Punjab, Quaid-e-Azam Campus, Lahore 54590, Pakistan
Original language: English
Copyright © 2013 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
In this article, the modified simple equation method has been implemented to construct the new exact travelling wave solutions to nonlinear evolution equations. This method is very easy, direct, concise and simple to implement as compared with other existing methods. As an application, this method has been successfully implemented to construct the new exact travelling wave solutions to nonlinear Phi-four evolution equation. Since, the homogeneous balancing principle has been used, so we can claim that this method can be applied to other nonlinear partial differential equations or nonlinear evolution equations where the homogeneous balancing principle is satisfied.
Author Keywords: Travelling wave solutions, Modified simple equation method, Nonlinear Phi-Four equation.
How to Cite this Article
Muhammad Younis and Asim Zafar, “The modified simple equation method for solving nonlinear Phi-Four equation,” International Journal of Innovation and Applied Studies, vol. 2, no. 4, pp. 661–664, April 2013.
