New modified tanh-function method for nonlinear evolution equations

The aim of this paper is to calculate the Traveling waves solutions by using a new technique which is called modified tanh-function method, which are successfully performed  to get analytical solutions for  Korteweg-deVries (KdV)–Burgers’ equation and (2+1)-dimensional Calogero–Bogoyavlenskii–Schif...

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Main Authors: Wafaa M. Taha, Abbas H. Kadhim, Raad A. Hameed, M. S. M. Noorani
Format: Article
Language:English
Published: Tikrit University 2023-02-01
Series:Tikrit Journal of Pure Science
Subjects:
Online Access:https://tjpsj.org/index.php/tjps/article/view/1100
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author Wafaa M. Taha
Abbas H. Kadhim
Raad A. Hameed
M. S. M. Noorani
author_facet Wafaa M. Taha
Abbas H. Kadhim
Raad A. Hameed
M. S. M. Noorani
author_sort Wafaa M. Taha
collection DOAJ
description The aim of this paper is to calculate the Traveling waves solutions by using a new technique which is called modified tanh-function method, which are successfully performed  to get analytical solutions for  Korteweg-deVries (KdV)–Burgers’ equation and (2+1)-dimensional Calogero–Bogoyavlenskii–Schiff (CBS) equation. As a result, when the equation parameters are taken as special values, some new solitary wave solution are obtained. Moreover we find in this work that the modified tanh-function method give some new results which are easier and faster to compute by the help of a symbolic computation system. The results obtained were compared with standard  tanh-function method.
format Article
id doaj-art-ff6f8591d7ff474483effb19165b3ba4
institution Kabale University
issn 1813-1662
2415-1726
language English
publishDate 2023-02-01
publisher Tikrit University
record_format Article
series Tikrit Journal of Pure Science
spelling doaj-art-ff6f8591d7ff474483effb19165b3ba42025-08-20T03:29:03ZengTikrit UniversityTikrit Journal of Pure Science1813-16622415-17262023-02-0121610.25130/tjps.v21i6.1100New modified tanh-function method for nonlinear evolution equationsWafaa M. TahaAbbas H. KadhimRaad A. HameedM. S. M. Noorani The aim of this paper is to calculate the Traveling waves solutions by using a new technique which is called modified tanh-function method, which are successfully performed  to get analytical solutions for  Korteweg-deVries (KdV)–Burgers’ equation and (2+1)-dimensional Calogero–Bogoyavlenskii–Schiff (CBS) equation. As a result, when the equation parameters are taken as special values, some new solitary wave solution are obtained. Moreover we find in this work that the modified tanh-function method give some new results which are easier and faster to compute by the help of a symbolic computation system. The results obtained were compared with standard  tanh-function method. https://tjpsj.org/index.php/tjps/article/view/1100Tanh-function methodKdV–Burgers’ equationCalogero–Bogoyavlenskii–Schiff (CBS) equation
spellingShingle Wafaa M. Taha
Abbas H. Kadhim
Raad A. Hameed
M. S. M. Noorani
New modified tanh-function method for nonlinear evolution equations
Tikrit Journal of Pure Science
Tanh-function method
KdV–Burgers’ equation
Calogero–Bogoyavlenskii–Schiff (CBS) equation
title New modified tanh-function method for nonlinear evolution equations
title_full New modified tanh-function method for nonlinear evolution equations
title_fullStr New modified tanh-function method for nonlinear evolution equations
title_full_unstemmed New modified tanh-function method for nonlinear evolution equations
title_short New modified tanh-function method for nonlinear evolution equations
title_sort new modified tanh function method for nonlinear evolution equations
topic Tanh-function method
KdV–Burgers’ equation
Calogero–Bogoyavlenskii–Schiff (CBS) equation
url https://tjpsj.org/index.php/tjps/article/view/1100
work_keys_str_mv AT wafaamtaha newmodifiedtanhfunctionmethodfornonlinearevolutionequations
AT abbashkadhim newmodifiedtanhfunctionmethodfornonlinearevolutionequations
AT raadahameed newmodifiedtanhfunctionmethodfornonlinearevolutionequations
AT msmnoorani newmodifiedtanhfunctionmethodfornonlinearevolutionequations