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Variational principles for Ginzburg–Landau equation by He’s semi-inverse method

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  • Liu, W.Y.
  • Yu, Y.J.
  • Chen, L.D.

Abstract

Via the semi-inverse method of establishing variational principles proposed by He, a generalized variational principle is established for Ginzburg–Landau equation. The present theory provides a quite straightforward tool to the search for various variational principles for physical problems. This paper aims at providing a more complete theoretical basis for applications using finite element and other direct variational methods.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:5:p:1801-1803
    DOI: 10.1016/j.chaos.2006.03.019
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    References listed on IDEAS

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    1. Zhang, Juan & Yu, Jian-Yong & Pan, Ning, 2005. "Variational principles for nonlinear fiber optics," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 309-311.
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    Cited by:

    1. 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).
    2. 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.

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