Soliton solutions and dynamics analysis of fractional Radhakrishnan–Kundu–Lakshmanan equation with multiplicative noise in the Stratonovich sense

The main objective of this paper is to study the soliton solutions and dynamics analysis of the fractional Radhakrishnan–Kundu–Lakshmanan equation with multiplicative noise in the Stratonovich sense. Firstly, the wave transformation is used to obtain the nonlinear ordinary differential equation, and...

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Main Authors: Chen Peng, Zhao Li
Format: Article
Language:English
Published: Elsevier 2023-10-01
Series:Results in Physics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379723007787
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author Chen Peng
Zhao Li
author_facet Chen Peng
Zhao Li
author_sort Chen Peng
collection DOAJ
description The main objective of this paper is to study the soliton solutions and dynamics analysis of the fractional Radhakrishnan–Kundu–Lakshmanan equation with multiplicative noise in the Stratonovich sense. Firstly, the wave transformation is used to obtain the nonlinear ordinary differential equation, and then the nonlinear ordinary differential equation is transformed into a two-dimensional plane dynamic system with a Hamiltonian system. Secondly, the phase portrait and sensitivity of the plane dynamic system and its perturbed system are studied using Maple software. Thirdly, the soliton solutions of the stochastic fractional Radhakrishnan–Kundu–Lakshmanan equation can be constructed, and the Jacobian function solutions and hyperbolic function solutions are obtained. Finally, some three-dimensional and two-dimensional diagrams of the obtained solutions are also drawn. Moreover, the modulation stability of the equation under consideration is also given.
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spelling doaj.art-baacca807ece459698e7949b66ac84b32023-10-13T11:04:19ZengElsevierResults in Physics2211-37972023-10-0153106985Soliton solutions and dynamics analysis of fractional Radhakrishnan–Kundu–Lakshmanan equation with multiplicative noise in the Stratonovich senseChen Peng0Zhao Li1College of Computer Science, Chengdu University, Chengdu, 610106, PR ChinaCorresponding author.; College of Computer Science, Chengdu University, Chengdu, 610106, PR ChinaThe main objective of this paper is to study the soliton solutions and dynamics analysis of the fractional Radhakrishnan–Kundu–Lakshmanan equation with multiplicative noise in the Stratonovich sense. Firstly, the wave transformation is used to obtain the nonlinear ordinary differential equation, and then the nonlinear ordinary differential equation is transformed into a two-dimensional plane dynamic system with a Hamiltonian system. Secondly, the phase portrait and sensitivity of the plane dynamic system and its perturbed system are studied using Maple software. Thirdly, the soliton solutions of the stochastic fractional Radhakrishnan–Kundu–Lakshmanan equation can be constructed, and the Jacobian function solutions and hyperbolic function solutions are obtained. Finally, some three-dimensional and two-dimensional diagrams of the obtained solutions are also drawn. Moreover, the modulation stability of the equation under consideration is also given.http://www.sciencedirect.com/science/article/pii/S2211379723007787SolitonBifurcationWhite noiseChaoticRadhakrishnan–Kundu–Lakshmanan equation
spellingShingle Chen Peng
Zhao Li
Soliton solutions and dynamics analysis of fractional Radhakrishnan–Kundu–Lakshmanan equation with multiplicative noise in the Stratonovich sense
Results in Physics
Soliton
Bifurcation
White noise
Chaotic
Radhakrishnan–Kundu–Lakshmanan equation
title Soliton solutions and dynamics analysis of fractional Radhakrishnan–Kundu–Lakshmanan equation with multiplicative noise in the Stratonovich sense
title_full Soliton solutions and dynamics analysis of fractional Radhakrishnan–Kundu–Lakshmanan equation with multiplicative noise in the Stratonovich sense
title_fullStr Soliton solutions and dynamics analysis of fractional Radhakrishnan–Kundu–Lakshmanan equation with multiplicative noise in the Stratonovich sense
title_full_unstemmed Soliton solutions and dynamics analysis of fractional Radhakrishnan–Kundu–Lakshmanan equation with multiplicative noise in the Stratonovich sense
title_short Soliton solutions and dynamics analysis of fractional Radhakrishnan–Kundu–Lakshmanan equation with multiplicative noise in the Stratonovich sense
title_sort soliton solutions and dynamics analysis of fractional radhakrishnan kundu lakshmanan equation with multiplicative noise in the stratonovich sense
topic Soliton
Bifurcation
White noise
Chaotic
Radhakrishnan–Kundu–Lakshmanan equation
url http://www.sciencedirect.com/science/article/pii/S2211379723007787
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