Multiwave, Kinky breathers and multi-peak soliton solutions for the nonlinear Hirota dynamical system

Multiwave, Kinky breathers and multi-peak soliton solutions for the nonlinear Hirota dynamical system

The multi-wave solutions for nonlinear Hirota equation are obtained using logarithmic transformation and symbolic computation using the function method. Three waves method, double exponential and homoclinic breather approach are used to get this solutions. A conflict of our results with the consider...

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Main Authors: K. El-Rashidy, Aly R. Seadawy, Saad Althobaiti, M.M. Makhlouf
Format: Article
Language:English
Published: Elsevier 2020-12-01
Series:Results in Physics
Subjects:
Soliton solutions
Hirota equation
The logarithmic transformation method
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379720320970
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spelling doaj-b135b1eba83e4a2cacfeba2de9a05eca2020-12-25T05:09:13ZengElsevierResults in Physics2211-37972020-12-0119103678Multiwave, Kinky breathers and multi-peak soliton solutions for the nonlinear Hirota dynamical systemK. El-Rashidy0Aly R. Seadawy1Saad Althobaiti2M.M. Makhlouf3Technology and Science Department, Ranyah University Collage, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaMathematics Department, Faculty of science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia; Corresponding author.Technology and Science Department, Ranyah University Collage, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaTechnology and Science Department, Ranyah University Collage, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaThe multi-wave solutions for nonlinear Hirota equation are obtained using logarithmic transformation and symbolic computation using the function method. Three waves method, double exponential and homoclinic breather approach are used to get this solutions. A conflict of our results with the considerably-known results are done and it the study states that the solutions reached here are new. By specifying the suitable values for the parameter, the drawings of the solutions obtained are displayed in this paper.http://www.sciencedirect.com/science/article/pii/S2211379720320970Soliton solutionsHirota equationThe logarithmic transformation method
collection DOAJ
language English
format Article
sources DOAJ
author K. El-Rashidy
Aly R. Seadawy
Saad Althobaiti
M.M. Makhlouf
spellingShingle K. El-Rashidy
Aly R. Seadawy
Saad Althobaiti
M.M. Makhlouf
Multiwave, Kinky breathers and multi-peak soliton solutions for the nonlinear Hirota dynamical system
Results in Physics
Soliton solutions
Hirota equation
The logarithmic transformation method
author_facet K. El-Rashidy
Aly R. Seadawy
Saad Althobaiti
M.M. Makhlouf
author_sort K. El-Rashidy
title Multiwave, Kinky breathers and multi-peak soliton solutions for the nonlinear Hirota dynamical system
title_short Multiwave, Kinky breathers and multi-peak soliton solutions for the nonlinear Hirota dynamical system
title_full Multiwave, Kinky breathers and multi-peak soliton solutions for the nonlinear Hirota dynamical system
title_fullStr Multiwave, Kinky breathers and multi-peak soliton solutions for the nonlinear Hirota dynamical system
title_full_unstemmed Multiwave, Kinky breathers and multi-peak soliton solutions for the nonlinear Hirota dynamical system
title_sort multiwave, kinky breathers and multi-peak soliton solutions for the nonlinear hirota dynamical system
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2020-12-01
description The multi-wave solutions for nonlinear Hirota equation are obtained using logarithmic transformation and symbolic computation using the function method. Three waves method, double exponential and homoclinic breather approach are used to get this solutions. A conflict of our results with the considerably-known results are done and it the study states that the solutions reached here are new. By specifying the suitable values for the parameter, the drawings of the solutions obtained are displayed in this paper.
topic Soliton solutions
Hirota equation
The logarithmic transformation method
url http://www.sciencedirect.com/science/article/pii/S2211379720320970
work_keys_str_mv AT kelrashidy multiwavekinkybreathersandmultipeaksolitonsolutionsforthenonlinearhirotadynamicalsystem
AT alyrseadawy multiwavekinkybreathersandmultipeaksolitonsolutionsforthenonlinearhirotadynamicalsystem
AT saadalthobaiti multiwavekinkybreathersandmultipeaksolitonsolutionsforthenonlinearhirotadynamicalsystem
AT mmmakhlouf multiwavekinkybreathersandmultipeaksolitonsolutionsforthenonlinearhirotadynamicalsystem
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