This article is cited in 3 papers

Propagation of the Invariance of Germs of Solutions of Quasilinear Differential Equations with Weighted Derivatives

N. A. Shananin

Peoples Friendship University of Russia

Abstract: The paper contains various theorems on the propagation of the invariance of germs of solutions for the class of quasilinear differential equations. This class contains model equations of nonlinear waves propagation: the nonlinear Schrödinger equation, the Korteweg–de Vries equation, and some others.

UDC: 517.85

Received: 30.11.2000

DOI: 10.4213/mzm335

 English version: Mathematical Notes, 2002, 71:1, 123–130

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