The 2+1 dimensional Kaup-Kuperschmidt equation with self-consistent sources and its exact solutions
Abstract
In this paper, determinant type solutions of the 2+1 dimensional Kaup-Kuperschmidt (2DKK) equation are firstly obtained. Then the 2+1 dimensional Kaup-Kuperschmidt equation with self-consistent sources (2DKK ESCS) is presented through the source generation procedure. Exact solutions of this coupled system are expressed in the terms of determinants. As examples, one and two-soliton solutions are given.
- Publication:
-
Nonlinear and Modern Mathematical Physics
- Pub Date:
- March 2010
- DOI:
- 10.1063/1.3367066
- Bibcode:
- 2010AIPC.1212..273W
- Keywords:
-
- partial differential equations;
- solitons;
- matrix algebra;
- 02.30.Jr;
- 05.45.Yv;
- 02.10.Yn;
- Partial differential equations;
- Solitons;
- Matrix theory