LIU Tian-gui;YAN Jia-ren . PERTURBATION THEORY FOR NONLINEAR KLEIN-GORDON EQUATION. Applied Mathematics and Mechanics (English Edition), 2002, 23(8): 987-992.
[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] FAN En-gui,ZHANG Hong-qing.The solitary wave solutions for a class of nonlinear wave equations[J].Acta Physica Sinica,1997,46(7):1254-1258.(in Chinese) [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.