一类全非线性对称可积分演化方程的潜在性

arXiv - PHYS - Exactly Solvable and Integrable Systems Pub Date : 2024-03-08 DOI:arxiv-2403.05722

Marianna Euler, Norbert Euler

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引用次数: 0

摘要

我们在此考虑最近在《非线性数学物理开放通讯》（{it OpenCommunications in Nonlinear Mathematical Physics}, vol. 2, 216--228 (2022)）中提出的一类 1+1 维完全非线性对称可积分三次旋转方程。特别是，我们报告了这一类方程的所有零阶和高阶势化，使用它们的积分因子（或乘数）直到四阶。通过多势垒化，我们还得到了连接演化方程链。

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Potentialisations of a class of fully-nonlinear symmetry-integrable evolution equations

We consider here the class of fully-nonlinear symmetry-integrable third-order evolution equations in 1+1 dimensions that were proposed recently in {\it Open Communications in Nonlinear Mathematical Physics}, vol. 2, 216--228 (2022). In particular, we report all zero-order and higher-order potentialisations for this class of equations using their integrating factors (or multipliers) up to order four. Chains of connecting evolution equations are also obtained by multi-potentialisations.

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arXiv - PHYS - Exactly Solvable and Integrable Systems

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