This article is cited in 6 papers

Dirichlet Series for Quasilinear Partial Differential Equations

A. Pickering

University of Salamanca

Abstract: We consider the construction of Dirichlet series for quasilinear partial differential equations. We obtain a remarkable result that for the class of equations under study, the only equations that admit such a series solution are transformable back onto the only known integrable equation within the class.

Keywords: integrable systems, Dirichlet series.

Received: 18.03.2002
Revised: 03.05.2002

DOI: 10.4213/tmf187

 English version: Theoretical and Mathematical Physics, 2003, 135:2, 638–641

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