Necessary conditions of coupled mkdV-BLMP system for multiple-soliton solutions to exist

H. M. Jaradat, Muhammed Syam, Marwan Alquran

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

In this paper, we use the simplified bilinear method to solve the modified KdV and the potential Boiti–Leon–Manna–Pempinelli equation which are discussed by Wazwaz (2016) when a=3 and c=[Formula presented]. We find the necessary conditions in order that this problem has solutions. We test the proposed method by two ways. The first one, by taking a=3 and c=[Formula presented]. We find that the proposed method produces exactly the same solution found by Wazwaz (2016). Secondly, we compare our results using the proposed method with the tanh method and find that the two methods produce the same solutions. From these two comparisons, we conclude that the proposed method is efficient and the solutions produced by the simplified bilinear method are correct.

Original languageEnglish
Pages (from-to)2133-2137
Number of pages5
JournalAlexandria Engineering Journal
Volume57
Issue number3
DOIs
Publication statusPublished - Sep 2018

Keywords

  • Modified KdV equation
  • Simplified bilinear method
  • Tanh method
  • mKdV-BMLP equation

ASJC Scopus subject areas

  • Engineering(all)

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