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On conserved densities and boundary conditions for the Davey–Stewartson equations

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Published 4 January 2010 • 2010 IOP Publishing Ltd
, , Citation V Rosenhaus and M Gandarias 2010 J. Phys. A: Math. Theor. 43 045206 DOI 10.1088/1751-8113/43/4/045206

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1 Department of Mathematics and Statistics, California State University, Chico, CA 95929, USA

2 Department of Mathematics, University of Cadiz, 11510 Puerto Real, Cadiz, Spain

Dates

  1. Received 17 September 2009
  2. Published

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Abstract

In the paper we discuss local conservation laws with non-vanishing conserved densities and corresponding boundary conditions for the Davey–Stewartson equations. Proceeding with an infinite symmetry algebra of the Davey–Stewartson system we generate a finite number of conserved quantities through appropriate asymptotic conditions.

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