Symbolic computation and Weierstrass elliptic function solutions of the Davey-Stewartson (DS) system

摘要

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 p(xi; g(2), g(3)). In particular, we also give new solitary wave solutions of this system. [References: 12]