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Perturbation theory of soliton solution for the generalized Landau-Ginzburg-Higgs equation

Mo Jia-Qi Lin Yi-Hua Wang Hui

Perturbation theory of soliton solution for the generalized Landau-Ginzburg-Higgs equation

Mo Jia-Qi, Lin Yi-Hua, Wang Hui
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  • Received Date:  01 March 2005
  • Accepted Date:  16 June 2005
  • Published Online:  20 December 2005

Perturbation theory of soliton solution for the generalized Landau-Ginzburg-Higgs equation

  • 1. (1)安徽师范大学数学系,芜湖 241000;湖州师范学院数学系,湖州 313000; (2)中国科学院大气物理研究所,北京 100029; (3)中国气象科学研究院,北京 100081

Abstract: Using the perturbed method, a class of generalized Landau-Ginzburg-Higgs equation is studied. Introducing a homotopic mapping, the solution of original equation is expressed as an asymptotic expansion, then it is expressed approximately by corresponding solutions of linear equations. Finally, the solution of equation in relation to the obtained approximate solution is considered.

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