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Soliton solutions of a class of generalized nonlinear schrÖdinger equations

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Abstract

Soliton solutions of a class of generalized nonlinear evolution equations are discussed analytically and numerically. This is done by using a travelling wave method to formulate one-soliton solution and the finite difference method to the numerical solutions and the interactions between the solitons for the generalized nonlinear Schrodinger equations. The characteristic behavior of the nonlinearity admitted in the system has been investigated and the soliton states of the system in the limit when α → 0 and α → ∞have been studied. The results presented show triat the soliton phenomenon is characteristics associated with the nonlinearities of the dynamical systems.

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Authors and Affiliations

  1. Department of Mathematics and Physics, Shangdong University of Technology, 250061, Jinan, China

    Cao Qingjie, Zhang Tiande, K. Djidjeli, G. W. Price & E. H. Twizell

  2. Department of Ship Science, University of Southampton, Sol7 1BJ, Southampton, England

    Cao Qingjie, Zhang Tiande, K. Djidjeli, G. W. Price & E. H. Twizell

  3. Department of Ship Science, University of Southampton, SO17 1BJ, Southampton, England

    Cao Qingjie, Zhang Tiande, K. Djidjeli, G. W. Price & E. H. Twizell

  4. Department of Mathematics and Statistics, Brunei University, UB8 3PH, Uxbridge, Middlesex, England

    Cao Qingjie, Zhang Tiande, K. Djidjeli, G. W. Price & E. H. Twizell

Authors
  1. Cao Qingjie
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  2. Zhang Tiande
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  3. K. Djidjeli
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  4. G. W. Price
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  5. E. H. Twizell
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Additional information

Supported by the National Natural Science Foundation,the State Education Commission of China and the Royal Society.

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Qingjie, C., Tiande, Z., Djidjeli, K. et al. Soliton solutions of a class of generalized nonlinear schrÖdinger equations. Appl. Math. Chin. Univ. 12, 389–398 (1997). https://doi.org/10.1007/s11766-997-0041-8

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  • DOI: https://doi.org/10.1007/s11766-997-0041-8

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