New Traveling Wave Solutions and Interesting Bifurcation Phenomena of Generalized KdV-mKdV-Like Equation

Using the bifurcation method of dynamical systems, we investigate the nonlinear waves and their limit properties for the generalized KdV-mKdV-like equation. We obtain the following results: (i) three types of new explicit expressions of nonlinear waves are obtained. (ii) Under different parameter co...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Yiren Chen, Shaoyong Li
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/f8f818c7a49d46cfbed6438bc5af5fc3
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:f8f818c7a49d46cfbed6438bc5af5fc3
record_format	dspace
spelling	oai:doaj.org-article:f8f818c7a49d46cfbed6438bc5af5fc32021-11-29T00:56:20ZNew Traveling Wave Solutions and Interesting Bifurcation Phenomena of Generalized KdV-mKdV-Like Equation1687-913910.1155/2021/4213939https://doaj.org/article/f8f818c7a49d46cfbed6438bc5af5fc32021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/4213939https://doaj.org/toc/1687-9139Using the bifurcation method of dynamical systems, we investigate the nonlinear waves and their limit properties for the generalized KdV-mKdV-like equation. We obtain the following results: (i) three types of new explicit expressions of nonlinear waves are obtained. (ii) Under different parameter conditions, we point out these expressions represent different waves, such as the solitary waves, the 1-blow-up waves, and the 2-blow-up waves. (iii) We revealed a kind of new interesting bifurcation phenomenon. The phenomenon is that the 1-blow-up waves can be bifurcated from 2-blow-up waves. Also, we gain other interesting bifurcation phenomena. We also show that our expressions include existing results.Yiren ChenShaoyong LiHindawi LimitedarticlePhysicsQC1-999ENAdvances in Mathematical Physics, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Yiren Chen Shaoyong Li New Traveling Wave Solutions and Interesting Bifurcation Phenomena of Generalized KdV-mKdV-Like Equation
description	Using the bifurcation method of dynamical systems, we investigate the nonlinear waves and their limit properties for the generalized KdV-mKdV-like equation. We obtain the following results: (i) three types of new explicit expressions of nonlinear waves are obtained. (ii) Under different parameter conditions, we point out these expressions represent different waves, such as the solitary waves, the 1-blow-up waves, and the 2-blow-up waves. (iii) We revealed a kind of new interesting bifurcation phenomenon. The phenomenon is that the 1-blow-up waves can be bifurcated from 2-blow-up waves. Also, we gain other interesting bifurcation phenomena. We also show that our expressions include existing results.
format	article
author	Yiren Chen Shaoyong Li
author_facet	Yiren Chen Shaoyong Li
author_sort	Yiren Chen
title	New Traveling Wave Solutions and Interesting Bifurcation Phenomena of Generalized KdV-mKdV-Like Equation
title_short	New Traveling Wave Solutions and Interesting Bifurcation Phenomena of Generalized KdV-mKdV-Like Equation
title_full	New Traveling Wave Solutions and Interesting Bifurcation Phenomena of Generalized KdV-mKdV-Like Equation
title_fullStr	New Traveling Wave Solutions and Interesting Bifurcation Phenomena of Generalized KdV-mKdV-Like Equation
title_full_unstemmed	New Traveling Wave Solutions and Interesting Bifurcation Phenomena of Generalized KdV-mKdV-Like Equation
title_sort	new traveling wave solutions and interesting bifurcation phenomena of generalized kdv-mkdv-like equation
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/f8f818c7a49d46cfbed6438bc5af5fc3
work_keys_str_mv	AT yirenchen newtravelingwavesolutionsandinterestingbifurcationphenomenaofgeneralizedkdvmkdvlikeequation AT shaoyongli newtravelingwavesolutionsandinterestingbifurcationphenomenaofgeneralizedkdvmkdvlikeequation
_version_	1718407747084484608

New Traveling Wave Solutions and Interesting Bifurcation Phenomena of Generalized KdV-mKdV-Like Equation

Ejemplares similares