Exact solutions to the space–time fractional shallow water wave equation via the complete discrimination system for polynomial method

Exact solutions to the space–time fractional shallow water wave equation via the complete discrimination system for polynomial method

The work of this article is to transform the famous nonlinear space–time fractional shallow water wave equations, namely coupled Korteweg-de Vries equations into ordinary differential equations via the complex fractional traveling wave transformation, and find the exact solutions through the complet...

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Main Authors: Nan Yang, Wenlong Xu, Kai Zhang, Bailin Zheng
Format: Article
Language:English
Published: Elsevier 2021-01-01
Series:Results in Physics
Subjects:
Space-time fractional shallow water wave equation
Exact solutions
Complete discrimination system for polynomial method
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379720321422
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spelling doaj-b2abcf0d4dd64f9aa53c0efae7240fad2021-01-26T04:12:33ZengElsevierResults in Physics2211-37972021-01-0120103728Exact solutions to the space–time fractional shallow water wave equation via the complete discrimination system for polynomial methodNan Yang0Wenlong Xu1Kai Zhang2Bailin Zheng3School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, ChinaSchool of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, ChinaSchool of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, ChinaCorresponding author.; School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, ChinaThe work of this article is to transform the famous nonlinear space–time fractional shallow water wave equations, namely coupled Korteweg-de Vries equations into ordinary differential equations via the complex fractional traveling wave transformation, and find the exact solutions through the complete discrimination system for polynomial method. At the same time, we build the appropriate example for the identified parameters to show the existence of each solution. Besides, providing a direct perspective to show that our solutions do exist by the three-dimensional and two-dimensional graphics.http://www.sciencedirect.com/science/article/pii/S2211379720321422Space-time fractional shallow water wave equationExact solutionsComplete discrimination system for polynomial method
collection DOAJ
language English
format Article
sources DOAJ
author Nan Yang
Wenlong Xu
Kai Zhang
Bailin Zheng
spellingShingle Nan Yang
Wenlong Xu
Kai Zhang
Bailin Zheng
Exact solutions to the space–time fractional shallow water wave equation via the complete discrimination system for polynomial method
Results in Physics
Space-time fractional shallow water wave equation
Exact solutions
Complete discrimination system for polynomial method
author_facet Nan Yang
Wenlong Xu
Kai Zhang
Bailin Zheng
author_sort Nan Yang
title Exact solutions to the space–time fractional shallow water wave equation via the complete discrimination system for polynomial method
title_short Exact solutions to the space–time fractional shallow water wave equation via the complete discrimination system for polynomial method
title_full Exact solutions to the space–time fractional shallow water wave equation via the complete discrimination system for polynomial method
title_fullStr Exact solutions to the space–time fractional shallow water wave equation via the complete discrimination system for polynomial method
title_full_unstemmed Exact solutions to the space–time fractional shallow water wave equation via the complete discrimination system for polynomial method
title_sort exact solutions to the space–time fractional shallow water wave equation via the complete discrimination system for polynomial method
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2021-01-01
description The work of this article is to transform the famous nonlinear space–time fractional shallow water wave equations, namely coupled Korteweg-de Vries equations into ordinary differential equations via the complex fractional traveling wave transformation, and find the exact solutions through the complete discrimination system for polynomial method. At the same time, we build the appropriate example for the identified parameters to show the existence of each solution. Besides, providing a direct perspective to show that our solutions do exist by the three-dimensional and two-dimensional graphics.
topic Space-time fractional shallow water wave equation
Exact solutions
Complete discrimination system for polynomial method
url http://www.sciencedirect.com/science/article/pii/S2211379720321422
work_keys_str_mv AT nanyang exactsolutionstothespacetimefractionalshallowwaterwaveequationviathecompletediscriminationsystemforpolynomialmethod
AT wenlongxu exactsolutionstothespacetimefractionalshallowwaterwaveequationviathecompletediscriminationsystemforpolynomialmethod
AT kaizhang exactsolutionstothespacetimefractionalshallowwaterwaveequationviathecompletediscriminationsystemforpolynomialmethod
AT bailinzheng exactsolutionstothespacetimefractionalshallowwaterwaveequationviathecompletediscriminationsystemforpolynomialmethod
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