论文标题

kDV样方程的理性解决方案的表征

Characterization of Rational Solutions of a KdV-Like Equation

论文作者

Vasquez, Brian D.

论文摘要

我们表征了从多项式溶液到相应的广义双线性方程生成的KDV样方程的有理溶液。我们使用满足二次差异方程的特定类别的多项式,以获得大于5的程度(在空间变量中)的双线性方程的解决方案。作为副产品,我们对Yi Zhang和Wen-XIU MA上的yi Zhang和Wen-Xiu Ma oil oil oil oil oil oil oil oil oil the yi zhang进行了反应。

We characterize the rational solutions to a KdV-like equation which are generated from polynomial solutions to the corresponding generalized bilinear equation. We use a particular class of polynomials satisfying a quadratic difference equation to obtain that there are no solutions of the bilinear equation with degree (in the spatial variable) greater than 5. As a byproduct, we answer positively a conjecture of Yi Zhang and Wen-Xiu Ma about these solutions.

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