We propose a mathematical apparatus based on binary relations that expands the possibility of traditional analysis applied to problems in mathematical and theoretical physics. We illustrate the general constructions with examples with an algebraic description of Backlund transformations of nonlinear systems of partial differential equations and the dynamics of wave packet propagation.

中文翻译：

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二元关系、Bäcklund 变换和波包传播

我们提出了一种基于二元关系的数学装置，它扩展了传统分析应用于数学和理论物理问题的可能性。我们用例子说明了一般构造，其中包括偏微分方程非线性系统的 Backlund 变换和波包传播动力学的代数描述。