DIRECT APPROACH FOR SOLITON PERTURBATIONS BASED ON THE GREEN'S FUNCTION

doi:10.1088/1009-1963/10/7/302

中国物理B ›› 2001, Vol. 10 ›› Issue (7): 594-598.doi: 10.1088/1009-1963/10/7/302

DIRECT APPROACH FOR SOLITON PERTURBATIONS BASED ON THE GREEN'S FUNCTION

颜家壬¹, 周光辉¹, 潘留仙²

(1)Department of Physics, Hunan Normal University, Changsha 410081, China; (2)Department of Physics, Hunan Normal University, Changsha 410081, China; Department of Physics, Yiyang Teacher's College, Yiyang 413049, China

收稿日期:2001-01-01 修回日期:2001-02-16 出版日期:2001-07-15 发布日期:2005-06-12
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 19775013).

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

Received:2001-01-01 Revised:2001-02-16 Online:2001-07-15 Published:2005-06-12
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 19775013).

摘要/Abstract

摘要： 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.

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.

Key words: soliton theory, soliton perturbation

中图分类号: (Solitons)

05.45.Yv

02.30.-f (Function theory, analysis) 03.65.Ge (Solutions of wave equations: bound states)

潘留仙, 颜家壬, 周光辉. DIRECT APPROACH FOR SOLITON PERTURBATIONS BASED ON THE GREEN'S FUNCTION[J]. 中国物理B, 2001, 10(7): 594-598.

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[J]. Chinese Physics, 2001, 10(7): 594-598.

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DIRECT APPROACH FOR SOLITON PERTURBATIONS BASED ON THE GREEN'S FUNCTION

DIRECT APPROACH FOR SOLITON PERTURBATIONS BASED ON THE GREEN'S FUNCTION

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