非线性耦合微分方程的三角函数解

Trigonometric function solutions for nonlinear couple differential equation

非线性耦合微分方程不仅有丰富解的结构,而且还有很多重要的物理意义和应用价值.对Cao给出的三角函数形式的解做了进一步的讨论,提出了一些改进方法,对方程的解中的参数应满足的条件做了进一步补充说明,得到了一些有意义的结果.

There is not only plenty of construction of solutions but also a lot of physical significance for nonlinear couple differential equations. Some improved ways to the trigonometric function solutions that Cao made are discussed and improved, and some conditions of solutions with parameters restricted are supplemented,gaining some valuable results.