On the decomposition of the modified Kadomtsev-Petviashvili equation and explicit solutions
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 7501-7509 |
| Journal / Publication | Journal of Mathematical Physics |
| Volume | 41 |
| Issue number | 11 |
| Publication status | Published - Nov 2000 |
Link(s)
Abstract
The (2+1)-dimensional modified Kadomtsev-Petviashvili equation is decomposed into two known (1+1)-dimensional soliton equations. A Darboux transformation of the two known (1+1)-dimensional soliton equations is derived with the help of a gauge transformation of the spectral problem. As an application, explicit solutions of the two (1+1)-dimensional soliton equations and two new explicit solutions of the (2+1)-dimensional modified Kadomtsev-Petviashvili equation are obtained. © 2000 American Institute of Physics.
Citation Format(s)
On the decomposition of the modified Kadomtsev-Petviashvili equation and explicit solutions. / Dai, H. H.; Geng, Xianguo.
In: Journal of Mathematical Physics, Vol. 41, No. 11, 11.2000, p. 7501-7509.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
