Multi-Soliton Solutions to Nonlinear Hirota-Ramani Equation

Authors

Harun-Or-Roshid, Department of Mathematics, Pabna University of Science and Technology, BangladeshFollow
Md. Nur Alam, Department of Mathematics, Pabna University of Science and Technology, BangladeshFollow

Author Country (or Countries)

Bangladesh

Abstract

A direct rational exponential scheme is proposed to construct exact multi-soliton nonlinear partial differential equations. As an example we consider the well-known nonlinear Hirota-Ramani equation to investigate one-soliton, two-soliton and three-soliton solutions. This work is motivated by the fact that the direct rational exponential method provides completely non-elastic multi-soliton solution although soliton should remain their shape and size unchanged after and before collision. Furthermore, the properties of the acquired multiple soliton solutions are shown by three-dimensional profiles. All solutions are stable and might have applications in physics.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110311

Recommended Citation

Harun-Or-Roshid and Nur Alam, Md. (2017) "Multi-Soliton Solutions to Nonlinear Hirota-Ramani Equation," Applied Mathematics & Information Sciences: Vol. 11: Iss. 3, Article 11.
DOI: http://dx.doi.org/10.18576/amis/110311
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss3/11