Year: 2022
Author: Gino Biondini, Dmitri Kireyev
East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 1 : pp. 1–21
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.310321.230821
East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 1 : pp. 1–21
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Davey-Stewartson periodic solutions solitons elliptic functions.