Construction of (n+ 1) -dimensional dual-mode nonlinear equations: multiple shock wave solutions for (3 + 1) -dimensional dual-mode Gardner-type and KdV-type

Ali Jaradat, M. M.M. Jaradat, Mohd. Salmi Md. Noorani, H. M. Jaradat, Marwan Alquran

Research output: Contribution to journalArticle

Abstract

The goal of this study is to offer an exclusive functional conversion to produce (n+ 1) -dimensional dual-mode nonlinear equations. This transformation has been implemented and new (3 + 1) -dimensional dual-mode Gradner-type and KdV-type have been established. Finally, the simplified bilinear method is used to tell the necessary conditions on these new models to have multiple singular-solitons.

Original languageEnglish
Article number19
JournalAdvances in Difference Equations
Volume2019
Issue number1
DOIs
Publication statusPublished - 1 Dec 2019

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Solitons
Korteweg-de Vries Equation
Nonlinear equations
Shock Waves
Shock waves
Nonlinear Equations
Necessary Conditions
Model

Keywords

  • (3 + 1) -dimensional dual-mode Gradner-type
  • (3 + 1) -dimensional dual-mode KdV-type
  • Multiple singular-soliton shock wave solutions
  • Simplified bilinear method

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

Cite this

Construction of (n+ 1) -dimensional dual-mode nonlinear equations : multiple shock wave solutions for (3 + 1) -dimensional dual-mode Gardner-type and KdV-type. / Jaradat, Ali; Jaradat, M. M.M.; Md. Noorani, Mohd. Salmi; Jaradat, H. M.; Alquran, Marwan.

In: Advances in Difference Equations, Vol. 2019, No. 1, 19, 01.12.2019.

Research output: Contribution to journalArticle

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