A Variety of New Solitary-Solutions for the Two-mode Modified Korteweg-de Vries Equation

A. Jaradat, M. S.M. Noorani, M. Alquran, H. M. Jaradat

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this paper, we studied the nonlinear two-mode modified Korteweg-de Vries (TMmKdV) equation. We derived multiple singular soliton solutions to this new version of KdV equation by using the simplified form of Hirota's direct method. Also, kink and periodic solutions are extracted by using the tanh-expansion and the sine-cosine function methods. Finally, graphical analysis is conducted to show some physical features regarding TMmKdV equation.

Original languageEnglish
Pages (from-to)88-96
Number of pages9
JournalNonlinear Dynamics and Systems Theory
Volume19
Issue number1
Publication statusPublished - 1 Jan 2019

Fingerprint

Solitary Solution
Korteweg-de Vries equation
Modified Equations
Korteweg-de Vries Equation
Hirota Method
KdV Equation
Kink
Soliton Solution
Solitons
Direct Method
Periodic Solution
Graphics
Form

Keywords

  • Hirota bilinear method
  • Kink
  • Multiple singular solutions
  • Periodic solutions
  • Sine-cosine function method
  • Two-mode mKdV

ASJC Scopus subject areas

  • Mathematical Physics
  • Applied Mathematics

Cite this

A Variety of New Solitary-Solutions for the Two-mode Modified Korteweg-de Vries Equation. / Jaradat, A.; Noorani, M. S.M.; Alquran, M.; Jaradat, H. M.

In: Nonlinear Dynamics and Systems Theory, Vol. 19, No. 1, 01.01.2019, p. 88-96.

Research output: Contribution to journalArticle

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