Short Communication
Differential Equations

Construction of General Solution of Degenerating Polmeire–Lunda–Redge System

A. M. Gurieva

Ufa State Aviation Technical University

Abstract: It is demonstrated that degenerating Polmeire–Lunda–Redge system is a Liovielle-type system, formulas were obtained for $x$- and $y$-integrals at the first and the second orders. It was demonstrated how they can be used in order to construct a general solution on this equation system.

Keywords: invariants of Laplace, equation of Liovielle type, integrals.

UDC: 517.956.3, 517.957

MSC: 35L70, 35C15

Original article submitted 14/I/2009
revision submitted – 20/II/2009

DOI: 10.14498/vsgtu663

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