Dynamical behavior of chirped periodic and self-similar solitary waves in a nonlocal nonlinear saturable media

Biren Karmakar, Niladri Ghosh and Amiya Das

Chaos, Solitons & Fractals, 2025, vol. 191, issue C

Abstract: This paper incorporates nonlocal response and saturable nonlinearity into a nonlinear Schrödinger equation. We analyze traveling wave solutions of a generalized nonlocal nonlinear Schrödinger equation with competing nonlocal nonlinearity in saturable media. By employing the similarity transformation technique, we derive chirped self-similar wave solutions in specific saturable media. The dynamical structure of these self-similar solutions is examined within the framework of a switching control system that includes periodically distributed amplification. Finally, the dynamical behavior of the nonlinear wave solutions is investigated using phase plane analysis and modulational instability analysis.

Keywords: Traveling waves; Solitons; Phase plane analysis; Modulational instability; Self-similar waves; Similarity transformation (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:191:y:2025:i:c:s0960077924013717

DOI: 10.1016/j.chaos.2024.115819

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