Soliton solutions of conformable time-fractional perturbed Radhakrishnan-Kundu-Lakshmanan equation

In this paper, our main purpose is to study the soliton solutions of conformable time-fractional perturbed Radhakrishnan-Kundu-Lakshmanan equation. New soliton solutions have been obtained by the extended (G′/G)-expansion method, first integral method and complete discrimination system for the polyn...

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Main Authors: Chun Huang, Zhao Li
Format: Article
Language:English
Published: AIMS Press 2022-06-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022797?viewType=HTML
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author Chun Huang
Zhao Li
author_facet Chun Huang
Zhao Li
author_sort Chun Huang
collection DOAJ
description In this paper, our main purpose is to study the soliton solutions of conformable time-fractional perturbed Radhakrishnan-Kundu-Lakshmanan equation. New soliton solutions have been obtained by the extended (G′/G)-expansion method, first integral method and complete discrimination system for the polynomial method, respectively. The solutions we obtained mainly include hyperbolic function solutions, solitary wave solutions, Jacobi elliptic function solutions, trigonometric function solutions and rational function solutions. Moreover, we draw its three-dimensional graph.
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spelling doaj.art-348f2ab442b441fcbc4b4657a719db862022-12-22T00:29:26ZengAIMS PressAIMS Mathematics2473-69882022-06-0178144601447310.3934/math.2022797Soliton solutions of conformable time-fractional perturbed Radhakrishnan-Kundu-Lakshmanan equationChun Huang0Zhao Li11. Faculty of Education, Sichuan Vocational and Technical College, Suining 629000, China2. College of Computer Science, Chengdu University, Chengdu 610106, ChinaIn this paper, our main purpose is to study the soliton solutions of conformable time-fractional perturbed Radhakrishnan-Kundu-Lakshmanan equation. New soliton solutions have been obtained by the extended (G′/G)-expansion method, first integral method and complete discrimination system for the polynomial method, respectively. The solutions we obtained mainly include hyperbolic function solutions, solitary wave solutions, Jacobi elliptic function solutions, trigonometric function solutions and rational function solutions. Moreover, we draw its three-dimensional graph.https://www.aimspress.com/article/doi/10.3934/math.2022797?viewType=HTMLtime-fractional perturbed radhakrishnan-kundu-lakshmanan equationextended (g′/g)-expansion methodfirst integral methodcomplete discrimination systemconformable fractional derivative
spellingShingle Chun Huang
Zhao Li
Soliton solutions of conformable time-fractional perturbed Radhakrishnan-Kundu-Lakshmanan equation
AIMS Mathematics
time-fractional perturbed radhakrishnan-kundu-lakshmanan equation
extended (g′/g)-expansion method
first integral method
complete discrimination system
conformable fractional derivative
title Soliton solutions of conformable time-fractional perturbed Radhakrishnan-Kundu-Lakshmanan equation
title_full Soliton solutions of conformable time-fractional perturbed Radhakrishnan-Kundu-Lakshmanan equation
title_fullStr Soliton solutions of conformable time-fractional perturbed Radhakrishnan-Kundu-Lakshmanan equation
title_full_unstemmed Soliton solutions of conformable time-fractional perturbed Radhakrishnan-Kundu-Lakshmanan equation
title_short Soliton solutions of conformable time-fractional perturbed Radhakrishnan-Kundu-Lakshmanan equation
title_sort soliton solutions of conformable time fractional perturbed radhakrishnan kundu lakshmanan equation
topic time-fractional perturbed radhakrishnan-kundu-lakshmanan equation
extended (g′/g)-expansion method
first integral method
complete discrimination system
conformable fractional derivative
url https://www.aimspress.com/article/doi/10.3934/math.2022797?viewType=HTML
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