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近可积KdV物理系统中扰动对单孤子解的影响
引用本文:谢应茂,冯郁.近可积KdV物理系统中扰动对单孤子解的影响[J].江西科学,1991(3).
作者姓名:谢应茂  冯郁
作者单位:赣南师范学院物理系,江西师范大学物理系 赣州,341000,南昌,330027
摘    要:基于KdV方程的较低级的两个守恒量——动量和质心,重新研究了近可积KdV物理系统中扰动对单孤子解的影响,导出了单孤子参数演化的一般方程,最后对耗散效应作了讨论.

关 键 词:近可积KdV物理系统  单孤子解  守恒量  耗散效应

INFLUENCE OF PERTURBATION ONISINGLE-SOLITONS SOLUTION IN NEARLY INTEGRABLE KdV PHYSICAL SYSTEMS
Xie Yingmao Feng Yu.INFLUENCE OF PERTURBATION ONISINGLE-SOLITONS SOLUTION IN NEARLY INTEGRABLE KdV PHYSICAL SYSTEMS[J].Jiangxi Science,1991(3).
Authors:Xie Yingmao Feng Yu
Abstract:Based-on the two lower conserved quantities of KdV equation, momentum and mass-center, the influence of perturbation on single-soliton solution in nearly integrable KdV physical systems was re-investigated. The evolution equations for the single-soliton parameters were obtained and the dissipative perturbation effects were discussed.
Keywords:Nearly integrable KdV physical systems  Single-soliton solution  Conserved quantity  Dissipative effect
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