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Exact solutions of generalized Zakharov and Ginzburg–Landau equations

Author

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  • Zhang, Jin-Liang
  • Wang, Ming-Liang
  • Gao, Ke-Quan

Abstract

By using the homogeneous balance principle, the exact solutions of the generalized Zakharov equations and generalized Ginzburg–Landau equation are obtained with the aid of a set of subsidiary higher-order ordinary differential equations (sub-equations for short).

Suggested Citation

  • Zhang, Jin-Liang & Wang, Ming-Liang & Gao, Ke-Quan, 2007. "Exact solutions of generalized Zakharov and Ginzburg–Landau equations," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1877-1886.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:5:p:1877-1886
    DOI: 10.1016/j.chaos.2005.12.011
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    Cited by:

    1. Mancas, Stefan C. & Roy Choudhury, S., 2009. "Spatiotemporal structure of pulsating solitons in the cubic–quintic Ginzburg–Landau equation: A novel variational formulation," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 91-105.
    2. Porsezian, K. & Murali, R. & Malomed, Boris A. & Ganapathy, R., 2009. "Modulational instability in linearly coupled complex cubic–quintic Ginzburg–Landau equations," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1907-1913.

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