Time-dependent perturbation theory of KdV soliton | Zendy

Pan Liu-xian | Zendy; Yu Hui-You | Zendy; Yan Jia-Ren | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Time-dependent perturbation theory of KdV soliton

Author(s) -

Pan Liu-xian,

Yu Hui-You,

Yan Jia-Ren

Publication year - 2008

Publication title -

acta physica sinica

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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research