Perturbation Theory for Nonlinear Klein-Gordon Equation
-
摘要: 求得了一阶近似下微扰对非线性Klein-Gordon孤子的影响,即求得了孤子参数随时间的缓慢变化及一阶修正的具体表达式。
-
关键词:
- 孤子微扰 /
- 孤子参数 /
- 非线性Klein-Gordon孤子
Abstract: The effects of pertur bations on a nonline ar Klein-Gordon the soliton to the first-order approx imation are obtained,namely,the soliton parameters changing slowly with time,and the concrete expression of the first-order correction are got.-
Key words:
- soliton perturbation /
- soliton parameter /
- nonlinear Klein-Gordon soliton
-
[1] Dodd R K, Eilbeck J C, Gibbon J D, et al. Solitons and Nonlinear Wave Equations[M]. London: Academic, 1982. [2] Ablowitz M J, Clarkson P A. Solitons, Nonlinear Evolution Equations and Inverse Scattering[M]. England: Cambridge University Press, 1991. [3] 范恩贵,张鸿庆. 非线性波动方程的孤波解[J]. 物理学报,1997,46(7):1254-1258. [4] YAN Jia-ren, TANG Yi. Direct approach to the study of soliton perturbations[J]. Phys Rev E,1996,54(6):6816-6824. [5] YAN Jia-ren, TANG Yi, ZHOU Guang-hui. Direct approach to the study of soliton perturbation of the nonlinear Schrodinger equation and the sine-Gordon equation[J]. Phys Rev E,1998,58(1):1064-1073. [6] YAN Jia-ren, TANG Yi, ZHOU Guang-hui. Perturbation theory for nonlinear Klein-Gordon kinks[J]. Commun Theoret Phys,1999,32(3):375-380.
计量
- 文章访问数: 2025
- HTML全文浏览量: 63
- PDF下载量: 582
- 被引次数: 0