一类非线性薛定谔方程球面上的精确解

摘要

使用广义雅可比椭圆函数方法和奇次平衡原理，得到了一类非线性薛定谔方程在球面上的精确解，并给出了该方程的一类非行波解．%Exact solutions for the muhidimensional Schtidinger map equation on S2 are obtained by using the homogeneous balance principle and general Jacobi elliptic-function method. Furthermore, the non-traveling wave solution is constructed in the end of the paper.