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

doi:10.1016/j.ijleo.2016.10.011

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

Faculty of Science
Al-Azhar University
Higher Institute of Engineering
Tshwane University of Technology
King Abdulaziz University
Texas A&M University at Qatar

Research output: Contribution to journal › Article › peer-review

60 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 language	English
Pages (from-to)	57-62
Number of pages	6
Journal	Optik
Volume	128
DOIs	https://doi.org/10.1016/j.ijleo.2016.10.011
Publication status	Published - 1 Jan 2017
Externally published	Yes

Keywords

Eckhaus equation
Extended Kudryashov method
Solitons

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10.1016/j.ijleo.2016.10.011

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

abstract = "In this paper, we apply the extended Kudryashov method to a nonlinear Schr{\"o}dinger 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.",

keywords = "Eckhaus equation, Extended Kudryashov method, Solitons",

author = "El-Borai, \{M. M.\} and El-Owaidy, \{H. M.\} and Ahmed, \{Hamdy M.\} and Arnous, \{Ahmed H.\} and Seithuti Moshokoa and Anjan Biswas and Milivoj Belic",

note = "Publisher Copyright: {\textcopyright} 2016 Elsevier GmbH",

year = "2017",

month = jan,

day = "1",

doi = "10.1016/j.ijleo.2016.10.011",

language = "English",

volume = "128",

pages = "57--62",

journal = "Optik",

issn = "0030-4026",

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TY - JOUR

T1 - Topological and singular soliton solution to Kundu–Eckhaus equation with extended Kudryashov's method

AU - El-Borai, M. M.

AU - El-Owaidy, H. M.

AU - Ahmed, Hamdy M.

AU - Arnous, Ahmed H.

AU - Moshokoa, Seithuti

AU - Biswas, Anjan

AU - Belic, Milivoj

PY - 2017/1/1

Y1 - 2017/1/1

N2 - 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.

AB - 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.

KW - Eckhaus equation

KW - Extended Kudryashov method

KW - Solitons

UR - https://www.scopus.com/pages/publications/84991238992

U2 - 10.1016/j.ijleo.2016.10.011

DO - 10.1016/j.ijleo.2016.10.011

M3 - Article

AN - SCOPUS:84991238992

SN - 0030-4026

VL - 128

SP - 57

EP - 62

JO - Optik

JF - Optik

ER -

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

Abstract

Keywords

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