Stochastic wave propagation dynamics and chaotic behavior under random perturbation for the fractional order Triki–Biswas model with white noise

Xin Wang, Hang Chen, Dong Li and Shibo Fu

Chaos, Solitons & Fractals, 2025, vol. 199, issue P1

Abstract: We study comprehensively the stochastic exact solutions for the fractional Triki–Biswas model with a multiplicative white noise and its chaotic behavior under random perturbation. Firstly, we obtain a detailed classification of stochastic propagation patterns, and analyze topological properties of these patterns as the parameters changing. Secondly, we show the affect of the noise on both the phase factor and the amplitude by computing the random averaging value of solutions to find a delay factor, which just proves that although the random white noise effects both amplitude and phase of waves, the averaging behavior of wave still keep the usual features of soliton and periodic motion and so forth. Finally, we show the chaotic behavior of the model under some random perturbations, which means that the model is sensitive for some random actions.

Keywords: Stochastic exact solution; Averaging behavior; Optical soliton; Chaotic behavior; Random perturbation (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:199:y:2025:i:p1:s0960077925006253

DOI: 10.1016/j.chaos.2025.116612

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