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Applicant:
Central University of Tamil Nadu 
Author:
M.T. Darvishi, L. Kavitha, M. Najafi and V. Senthil Kumar 
Corresponding Authors:
L. Kavitha 
DOI #:
doi.org/10.1007/s11071-016-2920-0 
Title:
Elastic collision of mobile solitons of a (3+1)-dimensional soliton equation 
Journal:
Journal of nonlinear dynamics 
Year:
2016 
Volume:
86 
Page:
765–778 
Keywords:
Multiple exp-function method, Soliton equation, Exact solution, Multi-soliton solution, Elastic collision, Hirota method 
Abstract:
The multiple exp-function method is a new approach to obtain multiple-wave solutions of nonlinear partial differential equations (NLPDEs). By this method, one can obtain multi-soliton solutions of NLPDEs. Hence, in this paper, using symbolic computation, we apply the multiple exp-function method to construct the exact multiple-wave solutions of a (3 + 1)-dimensional soliton equation. Based on this application, we obtain mobile single-wave, double-wave and multi-wave solutions for this equation. In addition, we employ the straightforward and algebraic Hirota bilinearization method to construct the multi-soliton solutions of NLPDEs, and we reveal the remarkable property of soliton–soliton collision through this approach. Further, we investigate the one- and two-soliton solutions of a (3 + 1)-dimensional soliton equation using the Hirota’s method. We explore the particle-like behavior or elastic interaction of solitons, which has potential application in optical communication systems and switching devices. 
Entered by:
Kavitha Louis on 2020-09-03 
 
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