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Variational principles for nonlinear fiber optics

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  • Zhang, Juan
  • Yu, Jian-Yong
  • Pan, Ning

Abstract

A family of variational principles with a free parameter is obtained for nonlinear fiber optics by the semi-inverse method proposed by Ji-Huan He [He JH. Variational principle for some nonlinear partial differential equations with variable coefficients. Chaos, Solitons & Fractals 2004;19:847].

Suggested Citation

  • Zhang, Juan & Yu, Jian-Yong & Pan, Ning, 2005. "Variational principles for nonlinear fiber optics," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 309-311.
    • Handle: RePEc:eee:chsofr:v:24:y:2005:i:1:p:309-311
    DOI: 10.1016/j.chaos.2004.09.032
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    Cited by:

    1. Wu, Yue, 2007. "Variational approach to higher-order water-wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 195-198.
    2. Liu, W.Y. & Yu, Y.J. & Chen, L.D., 2007. "Variational principles for Ginzburg–Landau equation by He’s semi-inverse method," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1801-1803.
    3. Anjan Biswas & Trevor Berkemeyer & Salam Khan & Luminita Moraru & Yakup Yıldırım & Hashim M. Alshehri, 2022. "Highly Dispersive Optical Soliton Perturbation, with Maximum Intensity, for the Complex Ginzburg–Landau Equation by Semi-Inverse Variation," Mathematics, MDPI, vol. 10(6), pages 1-11, March.
    4. Kohl, Russell W. & Biswas, Anjan & Zhou, Qin & Ekici, Mehmet & Alzahrani, Abdullah Kamis & Belic, Milivoj R., 2020. "Optical soliton perturbation with polynomial and triple-power laws of refractive index by semi-inverse variational principle," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
    5. He, Ji-Huan & Wu, Xu-Hong, 2006. "Construction of solitary solution and compacton-like solution by variational iteration method," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 108-113.
    6. He, Ji-Huan & Wu, Xu-Hong, 2006. "Exp-function method for nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 700-708.

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