Chaotic pattern and traveling wave solution of the perturbed stochastic nonlinear Schrödinger equation with generalized anti-cubic law nonlinearity and spatio-temporal dispersion
The main object of this paper is to study the bifurcation, chaotic pattern and traveling wave solution of the perturbed stochastic nonlinear Schrödinger equation with generalized anti-cubic law nonlinearity and spatio-temporal dispersion. A traveling wave transformation is used to simplified the per...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2024-01-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723010987 |
| _version_ | 1827378208464437248 |
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| author | Zhao Li Chunyan Liu |
| author_facet | Zhao Li Chunyan Liu |
| author_sort | Zhao Li |
| collection | DOAJ |
| description | The main object of this paper is to study the bifurcation, chaotic pattern and traveling wave solution of the perturbed stochastic nonlinear Schrödinger equation with generalized anti-cubic law nonlinearity and spatio-temporal dispersion. A traveling wave transformation is used to simplified the perturbed stochastic nonlinear Schrödinger equation into ordinary differential equation. The dynamic behavior of two-dimensional planar dynamical systems and their perturbed systems are studied, and bifurcation, phase portrait, and Poincaré section are presented. Furthermore, traveling wave solutions included Jacobian function solutions, trigonometric function solutions and hyperbolic function solutions are constructed. |
| first_indexed | 2024-03-08T12:52:39Z |
| format | Article |
| id | doaj.art-afd551cfbb6442649a0612b6c74d6828 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-03-08T12:52:39Z |
| publishDate | 2024-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-afd551cfbb6442649a0612b6c74d68282024-01-20T04:45:23ZengElsevierResults in Physics2211-37972024-01-0156107305Chaotic pattern and traveling wave solution of the perturbed stochastic nonlinear Schrödinger equation with generalized anti-cubic law nonlinearity and spatio-temporal dispersionZhao Li0Chunyan Liu1Corresponding author at: College of Computer Science, Chengdu University, Chengdu, 610106, PR China.; College of Computer Science, Chengdu University, Chengdu, 610106, PR China; V.C. & V.R. Key Lab of Sichuan Province, Sichuan Normal University, Chengdu, 610068, PR ChinaCollege of Computer Science, Chengdu University, Chengdu, 610106, PR China; V.C. & V.R. Key Lab of Sichuan Province, Sichuan Normal University, Chengdu, 610068, PR ChinaThe main object of this paper is to study the bifurcation, chaotic pattern and traveling wave solution of the perturbed stochastic nonlinear Schrödinger equation with generalized anti-cubic law nonlinearity and spatio-temporal dispersion. A traveling wave transformation is used to simplified the perturbed stochastic nonlinear Schrödinger equation into ordinary differential equation. The dynamic behavior of two-dimensional planar dynamical systems and their perturbed systems are studied, and bifurcation, phase portrait, and Poincaré section are presented. Furthermore, traveling wave solutions included Jacobian function solutions, trigonometric function solutions and hyperbolic function solutions are constructed.http://www.sciencedirect.com/science/article/pii/S2211379723010987Schrödinger equationPhase portraitPlane dynamic systemPerturbationTraveling wave solution |
| spellingShingle | Zhao Li Chunyan Liu Chaotic pattern and traveling wave solution of the perturbed stochastic nonlinear Schrödinger equation with generalized anti-cubic law nonlinearity and spatio-temporal dispersion Results in Physics Schrödinger equation Phase portrait Plane dynamic system Perturbation Traveling wave solution |
| title | Chaotic pattern and traveling wave solution of the perturbed stochastic nonlinear Schrödinger equation with generalized anti-cubic law nonlinearity and spatio-temporal dispersion |
| title_full | Chaotic pattern and traveling wave solution of the perturbed stochastic nonlinear Schrödinger equation with generalized anti-cubic law nonlinearity and spatio-temporal dispersion |
| title_fullStr | Chaotic pattern and traveling wave solution of the perturbed stochastic nonlinear Schrödinger equation with generalized anti-cubic law nonlinearity and spatio-temporal dispersion |
| title_full_unstemmed | Chaotic pattern and traveling wave solution of the perturbed stochastic nonlinear Schrödinger equation with generalized anti-cubic law nonlinearity and spatio-temporal dispersion |
| title_short | Chaotic pattern and traveling wave solution of the perturbed stochastic nonlinear Schrödinger equation with generalized anti-cubic law nonlinearity and spatio-temporal dispersion |
| title_sort | chaotic pattern and traveling wave solution of the perturbed stochastic nonlinear schrodinger equation with generalized anti cubic law nonlinearity and spatio temporal dispersion |
| topic | Schrödinger equation Phase portrait Plane dynamic system Perturbation Traveling wave solution |
| url | http://www.sciencedirect.com/science/article/pii/S2211379723010987 |
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