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Complex Second-Order Differential Equations and Separability

✍ Scribed by W. Sarlet; G. Thompson

Book ID: 105867615
Publisher: Springer
Year: 2001
Tongue: English
Weight: 159 KB
Volume: 11
Category: Article
ISSN: 0938-1279
DOI: 10.1007/s002000000049

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📜 SIMILAR VOLUMES

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✍ W. Sarlet 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 444 KB

A number of examples are presented illustrating a recently developed theory concerning the construction of coordinates in which a given system of second-order ordinary differential equations may exhibit maximal decoupling.

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A scalar complex ordinary differential equation can be considered as two coupled real partial differential equations, along with the constraint of the Cauchy-Riemann equations, which constitute a system of four equations for two unknown real functions of two real variables. It is shown that the resu

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