摘要
研究非线性薛定谔方程(NLS方程)和复MKdV方程的相容性,由此得到其相容解与三组2+1维孤立子方程解之间的关系.借助1+1维孤立子方程的理论,由NLS方程和复MKdV方程的相容解得到2+1维孤立子方程的精确解.
The compatibility of NLS equation and complex MKdV equation are proved, and the connection of the compatible solutions of NLS equation and complex MKdV equation with the solutions of three systems of (2+1) dimensional soliton equations are also presented. With the help of the theory of 1+1 dimensional soliton equations, the solutions of these 2+1 dimensional soliton equations are obtained by making use of the compatible solutions of NLS equation and complex MKdV equation.
出处
《河南科学》
2005年第3期316-319,共4页
Henan Science
基金
国家自然科学基金项目(10471132)
河南省教育厅自然科学基金(2004110006)
河南省青年骨干教师基金
