Topological and singular soliton solution to Kundu–Eckhaus equation with extended Kudryashov's method

M. M. El-Borai, H. M. El-Owaidy, Hamdy M. Ahmed, Ahmed H. Arnous, Seithuti Moshokoa, Anjan Biswas*, Milivoj Belic

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

58 Citations (Scopus)

Abstract

In this paper, we apply the extended Kudryashov method to a nonlinear Schrödinger type equation called the Kundu–Eckhaus equation or the Eckhaus equation which was independently introduced by Wiktor Eckhaus and by Anjan Kundu in 1984–1985 to model the propagation of waves in dispersive media. The proposed method is direct, effective and takes full advantages of the Bernoulli and Riccati equations to construct new exact solutions of that model and can be extended to many nonlinear evolution equations in mathematical physics.

Original languageEnglish
Pages (from-to)57-62
Number of pages6
JournalOptik
Volume128
DOIs
Publication statusPublished - 1 Jan 2017
Externally publishedYes

Keywords

  • Eckhaus equation
  • Extended Kudryashov method
  • Solitons

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