一个双线性方程的可积性：奇异性分析与维数

IF 0.3 Q4 PHYSICS, MULTIDISCIPLINARY

Nonlinear Phenomena in Complex Systems Pub Date : 2021-09-05 DOI:10.33581/1561-4085-2021-24-4-311-316

S. Sakovich

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引用次数: 1

摘要

利用奇异性分析方法研究了一类特殊仿射李代数D(1)4相关的四维六阶双线性方程的可积性。这个方程在三种不同的情况下通过了painlevel测试，当方程是一个有效的三维方程时，等于BKP方程。

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查看原文本刊更多论文

Integrability of One Bilinear Equation: Singularity Analysis and Dimension

The integrability of a four-dimensional sixth-order bilinear equation associated with the exceptional affine Lie algebra D(1)4 is studied by means of the singularity analysis. This equation is shown to pass the Painlevé test in three distinct cases of its coefficients, exactly when the equation is effectively a three-dimensional one, equivalent to the BKP equation.

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来源期刊

Nonlinear Phenomena in Complex Systems PHYSICS, MULTIDISCIPLINARY-

CiteScore

0.90

自引率

25.00%

发文量