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中国物理学会期刊

构造孤子方程的Weierstrass椭圆函数解的一个新方法

CSTR: 32037.14.aps.54.5540

A new method to construct Weierstrass elliptic function solutions for soliton equations

CSTR: 32037.14.aps.54.5540
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  • 利用具有Weierstrass椭圆函数解的方程,首先获得了投影Riccati方程的两组新解.由于投影Riccati方程可用于多种具孤子解的非线性演化方程的求解,因而得到了一个可以构造这些方程的Weierstrass椭圆函数解的新方法.

     

    Utilizing the equation that has Weierstrass elliptic function solutions, we have obtained two groups of new solutions of projection Riccati equation. Because the projection Riccati equation can be used to solve nearly all kinds of non-linear evolution equations, thus we have given a method for constructing. Weierstrass elliptic function solutions for nearly all equations with soliton solutions.

     

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