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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Elsevier
2023-10-01
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Series: | Results in Physics |
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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. |
first_indexed | 2024-03-11T18:31:15Z |
format | Article |
id | doaj.art-baacca807ece459698e7949b66ac84b3 |
institution | Directory Open Access Journal |
issn | 2211-3797 |
language | English |
last_indexed | 2024-03-11T18:31:15Z |
publishDate | 2023-10-01 |
publisher | Elsevier |
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series | Results in Physics |
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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