Open AccessTime-dependent perturbation theory of KdV soliton
Author(s) -
Ling Pan,
Yu Hui-You,
Yan Jia-Ren
Publication year - 2008
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.57.1316
Subject(s) - korteweg–de vries equation , perturbation (astronomy) , soliton , physics , fourier series , fourier transform , perturbation theory (quantum mechanics) , quantum electrodynamics , mathematical physics , mathematical analysis , quantum mechanics , nonlinear system , mathematics
The effects of the periodical time-dependent perturbation on a KdV (Korteweg de Vries) soliton are studied. Expanding the perturbation term into a Fourier series, we find that the time-independent term will lead to the secular terms. In this paper, the soliton parameters (height, width and velocity) are derived by eliminating the secular terms, and the corrections on a soliton caused by perturbation are obtained with the help of other terms in Fourier series in the first-order approximation.