Abstract
The Korteweg-de Vries (KdV) equation with self-consistent sources (KdVES) is used as a model to illustrate this method. We present a generalized binary Darboux transformation (GBDT) with an arbitrary time-dependent function for the KdVES as well as the formula for N-times repeated GBDT. This GBDT provides non-auto-Bäcklund transformation between two KdV equations with different degrees of sources and enables us to construct more general solutions with N arbitrary t-dependent functions. By taking the special t-function, we obtain multisoliton, multipositon, multinegaton, multisoliton-positon, multinegaton-positon and multisoliton-negaton solutions of the KdVES.
| Original language | English |
|---|---|
| Pages (from-to) | 5035-5043 |
| Number of pages | 9 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 36 |
| Issue number | 18 |
| DOIs | |
| Publication status | Published - 9 May 2003 |
| Externally published | Yes |
Scopus Subject Areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- General Physics and Astronomy