非线性耦合标量场方程的新双周期解(Ⅱ)

The new doubly-periodic solutions for nonlinear coupled scalar field equations(Ⅱ)

基于具有双周期解的常微分方程 ,提出了一种构造非线性微分方程双周期解的新方法 ,在计算机符号软件帮助下方法可实现机械化 .应用此方法于非线性耦合标量场方程 ,得到了该方程的大量的新精确解 .

In this paper, we obtained five kinds of new doubly-periodic solutions by using sinh-Gordon equation expansion method for nonlinear coupled scalar field equat ions which show physical significance and application value. In degeneration, we can obtain the new solitary wave solutions and trigonometric function solutions . The results showed that the equation has plenty of constructions of solutions, the physical phenomena of the physical model which the equation described, will be the object many physicists and mathematicians further explore.