"Multi-Soliton Solutions to Nonlinear Hirota-Ramani Equation" by Harun-Or-Roshid and Md. Nur Alam
  •  
  •  
 

Applied Mathematics & Information Sciences

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

Plum Print visual indicator of research metrics
PlumX Metrics
  • Citations
    • Citation Indexes: 7
  • Usage
    • Downloads: 18
    • Abstract Views: 16
  • Captures
    • Readers: 3
see details

Share

COinS