SYMBOLIC COMPUTATION AND WEIERSTRASS ELLIPTIC FUNCTION SOLUTIONS OF THE DAVEY–STEWARTSON (DS) SYSTEM

Zhenya Yan ()
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Zhenya Yan: Department of Mathematics, University of British Columbia, Vancouver, B C, Canada V6T 1Z2, Canada

International Journal of Modern Physics C (IJMPC), 2003, vol. 14, issue 08, 1127-1134

Abstract: In this paper, with the symbolic computation, the doubly-periodic solutions of the Davey–Stewartson (DS) system, which describes the modulational instability of uniform train of weakly nonlinear water waves in the two-dimensional space, are investigated in terms of the Weierstrass elliptic function℘(ξ; g2, g3). In particular, we also give new solitary wave solutions of this system.

Keywords: 03.40.Kf; 02.30.Jr; 47.20.Ky (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1142/S0129183103005224

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