Embedded solitons, chaotic behavior, bifurcation of cubic-quartic χ(2) and χ(3) nonlinear susceptibilities with multiplicative white noise

Zhao Li; Xue Zhang; Fang Miao

Results in Physics (Sep 2023)

Embedded solitons, chaotic behavior, bifurcation of cubic-quartic χ(2) and χ(3) nonlinear susceptibilities with multiplicative white noise

Zhao Li,
Xue Zhang,
Fang Miao

Affiliations

Zhao Li: College of Computer Science, Chengdu University, Chengdu, 610106, PR China; Key Laboratory of Pattern Recognition and Intelligent Information Processing, Institutions of Higher Education of Sichuan Province, Chengdu University, 610106, PR China
Xue Zhang: Department of Arts and Sciences, Chengdu College of University of Electronic Science and Technology of China, Chengdu, 611731, PR China
Fang Miao: College of Computer Science, Chengdu University, Chengdu, 610106, PR China; Key Laboratory of Pattern Recognition and Intelligent Information Processing, Institutions of Higher Education of Sichuan Province, Chengdu University, 610106, PR China; Corresponding author at: College of Computer Science, Chengdu University, Chengdu, 610106, PR China.

Journal volume & issue: Vol. 52
p. 106770

Abstract

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The main objective of this paper is to study the chaotic behavior and embedded soliton of cubic-quartic χ(2) and χ(3) nonlinear susceptibilities with multiplicative white noise. Firstly, traveling wave transformation and the trial equation method are used to obtain the nonlinear ordinary differential equations. Secondly, chaotic behavior, bifurcation and sensitivity of the perturbed perturbation system are studied. Thirdly, the embedded soliton solutions of cubic-quartic χ(2) and cubic χ(3) nonlinear model can be obtained.

Published in Results in Physics

ISSN: 2211-3797 (Online)
Publisher: Elsevier
Country of publisher: Netherlands
LCC subjects: Science: Physics
Website: http://www.journals.elsevier.com/results-in-physics/

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