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Chinese Physics, 2001, Vol. 10(7): 594-598    DOI: 10.1088/1009-1963/10/7/302
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DIRECT APPROACH FOR SOLITON PERTURBATIONS BASED ON THE GREEN'S FUNCTION

Pan Liu-xian (潘留仙)ab, Yan Jia-ren (颜家壬)a, Zhou Guang-hui (周光辉)a
a Department of Physics, Hunan Normal University, Changsha 410081, China; b Department of Physics, Yiyang Teacher's College, Yiyang 413049, China
Abstract  A direct approach has been developed for soliton perturbations based on the Green's function. We first linearized the soliton equation, and then derived the Green's function corresponding to approximation equations of different orders. Finally, we obtained the effects of perturbation on a soliton, namely both the slow time dependence of the soliton parameters and the corrections up to the second-order approximation. The higher-order effects can also be obtained in the same way.
Keywords:  soliton theory      soliton perturbation  
Received:  01 January 2001      Revised:  16 February 2001      Accepted manuscript online: 
PACS:  05.45.Yv (Solitons)  
  02.30.-f (Function theory, analysis)  
  03.65.Ge (Solutions of wave equations: bound states)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 19775013).

Cite this article: 

Pan Liu-xian (潘留仙), Yan Jia-ren (颜家壬), Zhou Guang-hui (周光辉) DIRECT APPROACH FOR SOLITON PERTURBATIONS BASED ON THE GREEN'S FUNCTION 2001 Chinese Physics 10 594

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