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Cnoidal and solitary wave solutions of the coupled higher order nonlinear Schrödinger equation in nonlinear optics

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  • Porsezian, K.
  • Kalithasan, B.

Abstract

By using coupled amplitude-phase formulation, we construct the quartic anharmonic oscillator equation from the coupled higher order nonlinear Schrödinger equation. For arbitrary physical parameter values, we discuss the construction of new cnoidal wave solutions and the exact solutions of both bright (GVD<0) and dark (GVD<0) solitary waves. In addition, we investigate the pairs of dark–dark and bright–bright solitary waves.

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  • Porsezian, K. & Kalithasan, B., 2007. "Cnoidal and solitary wave solutions of the coupled higher order nonlinear Schrödinger equation in nonlinear optics," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 188-196.
    • Handle: RePEc:eee:chsofr:v:31:y:2007:i:1:p:188-196
    DOI: 10.1016/j.chaos.2005.09.044
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    Cited by:

    1. Qi, Linming & Liu, Lu & Zhao, Weiliang, 2024. "Mixed localized waves in the coupled nonlinear Schrödinger equation with higher-order effects," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    2. Aydın, Ayhan, 2009. "Multisymplectic integration of N-coupled nonlinear Schrödinger equation with destabilized periodic wave solutions," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 735-751.
    3. Triki, Houria & Zhou, Qin & Liu, Wenjun & Biswas, Anjan & Moraru, Luminita & Yıldırım, Yakup & Alshehri, Hashim M. & Belic, Milivoj R., 2022. "Chirped optical soliton propagation in birefringent fibers modeled by coupled Fokas-Lenells system," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).

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