TY - JOUR
T1 - On the Periodic Solutions of the Davey-Stewartson Systems
AU - Biondini , Gino
AU - Kireyev , Dmitri
JO - East Asian Journal on Applied Mathematics
VL - 1
SP - 1
EP - 21
PY - 2021
DA - 2021/10
SN - 12
DO - http://doi.org/10.4208/eajam.310321.230821
UR - https://global-sci.org/intro/article_detail/eajam/19917.html
KW - Davey-Stewartson, periodic solutions, solitons, elliptic functions.
AB - <p style="text-align: justify;">The periodic, traveling wave solutions of all four versions of the Davey-Stewartson system (namely the focusing and the defocusing cases of both the Davey-Stewartson I and the Davey-Stewartson II equations) are derived and classified. For all
four versions, these solutions are described in terms of elliptic functions. Special reductions and limiting cases, including harmonic limits, soliton limits, and one-dimensional
solutions, are also explicitly discussed.</p>