J. Yan et al., DIRECT APPROACH TO THE STUDY OF SOLITON PERTURBATIONS OF THE NONLINEAR SCHRODINGER-EQUATION AND THE SINE-GORDON EQUATION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(1), 1998, pp. 1064-1073
Based on the method of separation of variables, a direct approach in t
he study of soliton perturbations has been developed in our previous p
aper [Phys. Rev. E 54, 6816 (1996)]. In this paper, we use it to deal
with the nonlinear Schrodinger and the sine-Gordon equations under the
action of perturbations. Results which differ from those in past pape
rs are obtained.