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