Solitary and Periodic Wave Solutions of the Fourth Order Boussinesq Equation Through the Novel Exponential Expansion Method
American Journal of Applied Mathematics
Volume 7, Issue 2, April 2019, Pages: 49-57
Received: Apr. 21, 2019; Accepted: Jun. 13, 2019; Published: Jun. 27, 2019
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Authors
Ayrin Aktar, Department of Mathematics, Begum Rokeya University, Rangpur, Bangladesh
Md Mashiur Rahhman, Department of Mathematics, Begum Rokeya University, Rangpur, Bangladesh
Kamalesh Chandra Roy, Department of Mathematics, Begum Rokeya University, Rangpur, Bangladesh
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Abstract
This article presents the new exact traveling wave solutions of fourth order (1+1)-dimensional Boussinesq equation. We proposed a new exponential expansion method and apply to undertake this study. The analytical solutions are defined by various types of mathematical functions. This study further shows some solitary and periodic waves graphically. This paper also shows that the novel exponential expansion method is easily applicable and powerful mathematical tool in the symbolic computational approach in the field of mathematical physics and engineering. The exact solutions of this equation play a vital role for describing different types of wave propagation in any varied natural instances, especially in water wave dynamics.
Keywords
Novel Exponential Expansion Method, Boussinesq Equation, Solitary Wave Solutions, Periodic Solutions
To cite this article
Ayrin Aktar, Md Mashiur Rahhman, Kamalesh Chandra Roy, Solitary and Periodic Wave Solutions of the Fourth Order Boussinesq Equation Through the Novel Exponential Expansion Method, American Journal of Applied Mathematics. Vol. 7, No. 2, 2019, pp. 49-57. doi: 10.11648/j.ajam.20190702.12
Copyright
Copyright © 2019 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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