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JOURNALS // Proceedings of the Yerevan State University, series Physical and Mathematical Sciences // Archive

Proceedings of the YSU, Physical and Mathematical Sciences, 2003 Issue 2, Pages 14–17 (Mi uzeru517)

Mathematics

On a third order nonlinear equation

G. G. Kazaryan

Khachatur Abovian Armenian State Pedagogical University

Abstract: In this work a nonlinear equation, connected with the hyperbolic equations, satisfying the Huygens’ principle, is considered. An evolution equation for the bend of oscillations, described by the solutions of these equations, is obtained. The fact that it is a nonlinear Shrodinger equation is shown.

Keywords: Huygens’ principle, Shrodinger equation.

UDC: 517.95

Received: 26.04.2002
Accepted: 03.06.2003



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