多维非线性d 'Alembert方程到二维方程的约化：Ansatzes，约化条件的相容性
Reduction of multidimensional non-linear d'Alembert equations to two-dimensional equations: ansatzes, compatibility of reduction conditions
摘要：
本文研究了多维波动方程--达朗贝尔方程和汉密尔顿方程的约化条件。证明了这类约化条件相容的必要条件。文中还介绍了简化方程的可能类型和拟解。我们还提供了一个简短的回顾文献的兼容性系统的达朗贝尔和汉密尔顿方程和建设的非线性达朗贝尔方程的解决方案。
英文摘要：
We study conditions of reduction of multidimensional wave equations - a system of d'Alembert and Hamilton equations. Necessary conditions for compatibility of such reduction conditions are proved. Possible types of the reduced equations and ansatzes are described. We also provide a brief review of the literature with respect to compatibility of the system of d'Alembert and Hamilton equations and construction of solutions for the nonlinear d'Alembert equation.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
