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

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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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    References listed on IDEAS

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    1. Mahfoudi, Narimene & Bouguerra, Abdesselam & Triki, Houria & Azzouzi, Faiçal & Biswas, Anjan & Yıldırım, Yakup & Alshomrani, Ali Saleh, 2024. "Chirped self-similar optical solitons with cubic–quintic–septic–nonic form of self-phase modulation," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    2. Felenou, E. Tchomgo & Boutcheng, H. J. Ouandji & Tchokouansi, Hermann T. & Djazet, A. & Tchidjo, R. Tamwo, 2021. "Impact of nonlocality and quintic local nonlinearity on the pulses interaction and the dynamical characteristics parameters of soliton in weakly nonlinear nonlocal media," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    3. Daoui, Abdel Kader & Messouber, Abdelouahab & Triki, Houria & Zhou, Qin & Biswas, Anjan & Liu, Wenjun & Alzahrani, Abdullah K. & Belic, Milivoj R., 2021. "Propagation of chirped periodic and localized waves with higher-order effects through optical fibers," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    4. Triki, Houria & Kruglov, Vladimir I., 2021. "Chirped periodic and localized waves in a weakly nonlocal media with cubic-quintic nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
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