两个具有相同Hirota双线性方程的(3+1)-维演化方程的拟周期波解

Quasi-Periodic Wave Solutions to Two (3+1)-Dimensional Evolution Equations Possessing the Same Hirota Bilinear Equation

应用Hirota双线性方法,构造了一个用Riemannθ函数表示的双线性方程的拟周期波解.应用到两个(3+1)维演化方程:一个是与AKNS可积方程族相关的可积模型,另一个是著名的Jimbo-Miwa方程,分别得到了这两个演化方程的拟周期波解.

Hirota bilinear method is implemented directly to construct quasi-periodic wave solutions in terms of Riemannθfunctions for a Hirota bilinear equation.As applications to two nonlinear equations：the（3＋1）-dimensional integrable equation generated from the AKNS heirarchy and the（3＋1）-dimensional Jimbo-Miwa equation,their quasi-periodic wave solutions are obtained.