两类2+1维非线性波动方程的线性叠加解

More on linear superposition method for the (2+1)-dimensional nonlinear wave equations

借助于计算机软件Maple将线性叠加方法应用于2+1维广义非线性Schr dinger和Boussinesq方程,给出此两 类方程不同周期的线性叠加解以及与这些周期解相应的速度值,求解过程严格基于一类新近发现的Jacobi椭圆函 数周期循环特性及其推论.

In this paper,we find periodic solutions with different periods and velocities to the (2+1)-dimensional general Schdinger and Boussinesq equations by making approprite linear superpositions of known periodic travelling wave solutions involving Jacobi elliptic functions.It is noteworthy that this linear superposition procedure works by virtue of some remarkable new identities involving elliptic functions.