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.
Received: 01 January 2001
Revised: 16 February 2001
Accepted manuscript online:
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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