Elliptic function solutions and travelling wave solutions of nonlinear Dodd-Bullough-Mikhailov, two-dimensional Sine-Gordon and coupled Schrödinger-KdV dynamical models

Elliptic function solutions and travelling wave solutions of nonlinear Dodd-Bullough-Mikhailov, two-dimensional Sine-Gordon and coupled Schrödinger-KdV dynamical models

In this article, we construct the traveling wave and elliptic function solutions of some special nonlinear evolution equations which are arising in mathematical physics, solid-state physics, fluid flow, fluid dynamics, nonlinear optics, electromagnetic waves, quantum field theory etc. We employed mo...

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Main Authors: Dianchen Lu, Aly R. Seadawy, Muhammad Arshad
Format: Article
Language:English
Published: Elsevier 2018-09-01
Series:Results in Physics
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379718311239
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spelling doaj-e9886926b89741318ff6e36bcb8eb63c2020-11-24T22:06:50ZengElsevierResults in Physics2211-37972018-09-01109951005Elliptic function solutions and travelling wave solutions of nonlinear Dodd-Bullough-Mikhailov, two-dimensional Sine-Gordon and coupled Schrödinger-KdV dynamical modelsDianchen Lu0Aly R. Seadawy1Muhammad Arshad2Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, PR ChinaMathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia; Mathematics Department, Faculty of Science, Beni-Suef University, Egypt; Corresponding author at: Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia.Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, PR ChinaIn this article, we construct the traveling wave and elliptic function solutions of some special nonlinear evolution equations which are arising in mathematical physics, solid-state physics, fluid flow, fluid dynamics, nonlinear optics, electromagnetic waves, quantum field theory etc. We employed modified extended direct algebraic method to construct the traveling wave and elliptic function solutions of Dodd-Bullough-Mikhailov equation, two-dimensional Sine-Gordon equation and coupled Schrödinger-KdV equation. The obtained analytical solutions in various form of each equation have different physical structures which are also presented graphically. The advantage of the current method that is simple, direct, elementary and concise. This method can be employed with a wider applicability for handling several other types of nonlinear wave equations. Keywords: Modified extended direct algebraic method, Travelling wave solutions, Elliptic function solutions, Dodd-Bullough-Mikhailov equation, Two-dimensional Sine-Gordon equation, Coupled Schrödinger-KdV equationhttp://www.sciencedirect.com/science/article/pii/S2211379718311239
collection DOAJ
language English
format Article
sources DOAJ
author Dianchen Lu
Aly R. Seadawy
Muhammad Arshad
spellingShingle Dianchen Lu
Aly R. Seadawy
Muhammad Arshad
Elliptic function solutions and travelling wave solutions of nonlinear Dodd-Bullough-Mikhailov, two-dimensional Sine-Gordon and coupled Schrödinger-KdV dynamical models
Results in Physics
author_facet Dianchen Lu
Aly R. Seadawy
Muhammad Arshad
author_sort Dianchen Lu
title Elliptic function solutions and travelling wave solutions of nonlinear Dodd-Bullough-Mikhailov, two-dimensional Sine-Gordon and coupled Schrödinger-KdV dynamical models
title_short Elliptic function solutions and travelling wave solutions of nonlinear Dodd-Bullough-Mikhailov, two-dimensional Sine-Gordon and coupled Schrödinger-KdV dynamical models
title_full Elliptic function solutions and travelling wave solutions of nonlinear Dodd-Bullough-Mikhailov, two-dimensional Sine-Gordon and coupled Schrödinger-KdV dynamical models
title_fullStr Elliptic function solutions and travelling wave solutions of nonlinear Dodd-Bullough-Mikhailov, two-dimensional Sine-Gordon and coupled Schrödinger-KdV dynamical models
title_full_unstemmed Elliptic function solutions and travelling wave solutions of nonlinear Dodd-Bullough-Mikhailov, two-dimensional Sine-Gordon and coupled Schrödinger-KdV dynamical models
title_sort elliptic function solutions and travelling wave solutions of nonlinear dodd-bullough-mikhailov, two-dimensional sine-gordon and coupled schrödinger-kdv dynamical models
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2018-09-01
description In this article, we construct the traveling wave and elliptic function solutions of some special nonlinear evolution equations which are arising in mathematical physics, solid-state physics, fluid flow, fluid dynamics, nonlinear optics, electromagnetic waves, quantum field theory etc. We employed modified extended direct algebraic method to construct the traveling wave and elliptic function solutions of Dodd-Bullough-Mikhailov equation, two-dimensional Sine-Gordon equation and coupled Schrödinger-KdV equation. The obtained analytical solutions in various form of each equation have different physical structures which are also presented graphically. The advantage of the current method that is simple, direct, elementary and concise. This method can be employed with a wider applicability for handling several other types of nonlinear wave equations. Keywords: Modified extended direct algebraic method, Travelling wave solutions, Elliptic function solutions, Dodd-Bullough-Mikhailov equation, Two-dimensional Sine-Gordon equation, Coupled Schrödinger-KdV equation
url http://www.sciencedirect.com/science/article/pii/S2211379718311239
work_keys_str_mv AT dianchenlu ellipticfunctionsolutionsandtravellingwavesolutionsofnonlineardoddbulloughmikhailovtwodimensionalsinegordonandcoupledschrodingerkdvdynamicalmodels
AT alyrseadawy ellipticfunctionsolutionsandtravellingwavesolutionsofnonlineardoddbulloughmikhailovtwodimensionalsinegordonandcoupledschrodingerkdvdynamicalmodels
AT muhammadarshad ellipticfunctionsolutionsandtravellingwavesolutionsofnonlineardoddbulloughmikhailovtwodimensionalsinegordonandcoupledschrodingerkdvdynamicalmodels
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