2+1维孤子方程的分解和相容解(英文)
Decomposition and compatible solutions for 2+1 dimensional soliton equations
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摘要: 一些2+1维孤子方程被分解成NLS方程和复MKdV方程,利用它们的分解包括Jacobi椭圆函数解、三角函数解、孤子解等可得到NLS方程和复MKdV方程的相容解.Abstract: Some 2+1 dimensional soliton equations are decomposed into the NLS equation and the complex MKdV equation. The compatible solutions of the NLS equation and the complex MKdV equation are obtained by using their solutions,including Jacobian elliptic function solutions,trigonometric function solutions,soliton solutions,rational solutions and breather type solutions.