中文摘要：

该文从1＋1维的孤子方程出发,构造出一个2＋1维在Lax意义下可积的方程.接着这个2＋1维可积方程被分解为可解的常微分方程.随后引入超椭圆Riemann曲面和Abel-Jacobi坐标把流进行了拉直.再利用Riemannθ函数给出了这个2＋1维方程的代数几何解.

英文摘要：

In this paper, a （2＋1）-dimensional integrable equation is presented with the help of （1＋1）-dimensional soliton equations. The （2＋1）-dimensional integrable equation is decomposed into solvable ordinary differential equations. A hyperelliptic Riemann surface and Abel-Jacobi coordinates are introduced to strainghten the associated flow, from which the algebro-geometric solutions of the （2＋1）-dimensional integrable equation are constructed by means of the Riemann theta functions.