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

Author

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  • Karmakar, Biren
  • Ghosh, Niladri
  • Das, Amiya

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.

Suggested Citation

  • Karmakar, Biren & Ghosh, Niladri & Das, Amiya, 2025. "Dynamical behavior of chirped periodic and self-similar solitary waves in a nonlocal nonlinear saturable media," Chaos, Solitons & Fractals, Elsevier, vol. 191(C).
    • Handle: RePEc:eee:chsofr:v:191:y:2025:i:c:s0960077924013717
    DOI: 10.1016/j.chaos.2024.115819
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