A study on the two-mode coupled modified Korteweg–de Vries using the simplified bilinear and the trigonometric-function methods

Muhammed Syam, H. M. Jaradat, Marwan Alquran

Research output: Contribution to journalArticlepeer-review

34 Citations (Scopus)

Abstract

In this paper, we study the system of the two-mode coupled mKdV using the simplified bilinear method. We find the necessary conditions that make the solutions exists. In addition, we investigate the multiple soliton and multiple singular soliton solutions of this system. We find the necessary conditions to have N-soliton solutions. To verify the efficiency of our approach, we apply the trigonometric-function methods. The trigonometric-function methods produce 27 different solutions to this system. These solutions are the same solutions that are produced by the simplified bilinear method. Up to our knowledge, this study is new and we can apply the same idea to the other coupled systems.

Original languageEnglish
Pages (from-to)1363-1371
Number of pages9
JournalNonlinear Dynamics
Volume90
Issue number2
DOIs
Publication statusPublished - Oct 1 2017

Keywords

  • N-soliton solutions
  • Simplified bilinear method
  • Singular soliton solutions
  • System of the two-mode coupled mKdV
  • Trigonometric-function method

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanical Engineering
  • Electrical and Electronic Engineering
  • Applied Mathematics

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