Exact solutions for a generalized Higgs equation

In this paper, the improved tanh-coth method is used for construct exact traveling wave solutions for a new coupled nonlinear system. Variable coefficients and a forcing term are considered. As particular case, new exact solutions for the classical Higgs field equation are obtained. The results show...

Full description

Bibliographic Details
Main Author: Cesar A. Gómez S
Format: Article
Language:English
Published: Elsevier 2020-01-01
Series:Journal of King Saud University: Science
Online Access:http://www.sciencedirect.com/science/article/pii/S1018364717309205
_version_ 1818476257999847424
author Cesar A. Gómez S
author_facet Cesar A. Gómez S
author_sort Cesar A. Gómez S
collection DOAJ
description In this paper, the improved tanh-coth method is used for construct exact traveling wave solutions for a new coupled nonlinear system. Variable coefficients and a forcing term are considered. As particular case, new exact solutions for the classical Higgs field equation are obtained. The results show us the generation and evolutions of new traveling waves with several interesting structure, which can be used in physical applications. The method can be used to analyze a wide class of coupled nonlinear evolutions equations. 2000 Mathematics Subject Classification: 35Q53, Keywords and phrases: Coupled Higgs equation, Traveling wave solutions, Improved tanh-coth method, Forcing term
first_indexed 2024-12-10T09:23:12Z
format Article
id doaj.art-8f44eacae28e41a6952c8499d57b57fa
institution Directory Open Access Journal
issn 1018-3647
language English
last_indexed 2024-12-10T09:23:12Z
publishDate 2020-01-01
publisher Elsevier
record_format Article
series Journal of King Saud University: Science
spelling doaj.art-8f44eacae28e41a6952c8499d57b57fa2022-12-22T01:54:38ZengElsevierJournal of King Saud University: Science1018-36472020-01-013214853Exact solutions for a generalized Higgs equationCesar A. Gómez S0Department of Mathematics, Universidad Nacional de Colombia, Bogotá, ColombiaIn this paper, the improved tanh-coth method is used for construct exact traveling wave solutions for a new coupled nonlinear system. Variable coefficients and a forcing term are considered. As particular case, new exact solutions for the classical Higgs field equation are obtained. The results show us the generation and evolutions of new traveling waves with several interesting structure, which can be used in physical applications. The method can be used to analyze a wide class of coupled nonlinear evolutions equations. 2000 Mathematics Subject Classification: 35Q53, Keywords and phrases: Coupled Higgs equation, Traveling wave solutions, Improved tanh-coth method, Forcing termhttp://www.sciencedirect.com/science/article/pii/S1018364717309205
spellingShingle Cesar A. Gómez S
Exact solutions for a generalized Higgs equation
Journal of King Saud University: Science
title Exact solutions for a generalized Higgs equation
title_full Exact solutions for a generalized Higgs equation
title_fullStr Exact solutions for a generalized Higgs equation
title_full_unstemmed Exact solutions for a generalized Higgs equation
title_short Exact solutions for a generalized Higgs equation
title_sort exact solutions for a generalized higgs equation
url http://www.sciencedirect.com/science/article/pii/S1018364717309205
work_keys_str_mv AT cesaragomezs exactsolutionsforageneralizedhiggsequation