Jacobi elliptic function solutions of a nonlinear Schrodinger equation in metamaterials

Muna Al Ghabshi; E. V. Krishnan; Marwan Alquran; Kamel Al-Khaled

Jacobi elliptic function solutions of a nonlinear Schrodinger equation in metamaterials

Muna Al Ghabshi, E. V. Krishnan^*, Marwan Alquran, Kamel Al-Khaled

^*Corresponding author for this work

Mathematics

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

15 Citations (Scopus)

Abstract

A nonlinear Schrodinger equation which governs the dynamics of solitons through meta- materials has been solved using mapping methods which give a variety of solutions in terms of Jacobi elliptic functions. The trigonometric and hyperbolic function solutions in the limiting cases of the modulus of the elliptic functions have also been obtained.

Original language	English
Pages (from-to)	469-480
Number of pages	12
Journal	Nonlinear Studies
Volume	24
Issue number	3
Publication status	Published - 2017

Keywords

Jacobi elliptic functions
Mapping method
Metamaterials
Solitary wave solutions
Travelling wave solutions

ASJC Scopus subject areas

Modelling and Simulation
Applied Mathematics

Cite this

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title = "Jacobi elliptic function solutions of a nonlinear Schrodinger equation in metamaterials",

abstract = "A nonlinear Schrodinger equation which governs the dynamics of solitons through meta- materials has been solved using mapping methods which give a variety of solutions in terms of Jacobi elliptic functions. The trigonometric and hyperbolic function solutions in the limiting cases of the modulus of the elliptic functions have also been obtained.",

keywords = "Jacobi elliptic functions, Mapping method, Metamaterials, Solitary wave solutions, Travelling wave solutions",

author = "{Al Ghabshi}, Muna and Krishnan, {E. V.} and Marwan Alquran and Kamel Al-Khaled",

note = "Publisher Copyright: {\textcopyright} CSP - Cambridge, UK; I & S - Florida, USA, 2017.",

year = "2017",

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pages = "469--480",

journal = "Nonlinear Studies",

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T1 - Jacobi elliptic function solutions of a nonlinear Schrodinger equation in metamaterials

AU - Al Ghabshi, Muna

AU - Krishnan, E. V.

AU - Alquran, Marwan

AU - Al-Khaled, Kamel

N1 - Publisher Copyright: © CSP - Cambridge, UK; I & S - Florida, USA, 2017.

PY - 2017

Y1 - 2017

N2 - A nonlinear Schrodinger equation which governs the dynamics of solitons through meta- materials has been solved using mapping methods which give a variety of solutions in terms of Jacobi elliptic functions. The trigonometric and hyperbolic function solutions in the limiting cases of the modulus of the elliptic functions have also been obtained.

AB - A nonlinear Schrodinger equation which governs the dynamics of solitons through meta- materials has been solved using mapping methods which give a variety of solutions in terms of Jacobi elliptic functions. The trigonometric and hyperbolic function solutions in the limiting cases of the modulus of the elliptic functions have also been obtained.

KW - Jacobi elliptic functions

KW - Mapping method

KW - Metamaterials

KW - Solitary wave solutions

KW - Travelling wave solutions

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M3 - Article

AN - SCOPUS:85028515605

SN - 1359-8678

VL - 24

SP - 469

EP - 480

JO - Nonlinear Studies

JF - Nonlinear Studies

IS - 3

ER -

Jacobi elliptic function solutions of a nonlinear Schrodinger equation in metamaterials

Abstract

Keywords

ASJC Scopus subject areas

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