关于Davey-Stewartson系统的周期解

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED

East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI:10.4208/eajam.310321.230821

Gino Biondini & Dmitri Kireyev

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引用次数: 0

摘要

．推导并分类了Davey-Stewartson系统所有四个版本(即Davey-Stewartson I和Davey-Stewartson II方程的聚焦和散焦情况)的周期行波解。对于所有四个版本，这些解都是用椭圆函数来描述的。还明确讨论了谐波极限、孤子极限和一维解等特殊约简和极限情况。

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On the Periodic Solutions of the Davey-Stewartson Systems

. 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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来源期刊

East Asian Journal on Applied Mathematics MATHEMATICS, APPLIED-

CiteScore

2.60

自引率

8.30%

发文量

期刊介绍： The East Asian Journal on Applied Mathematics (EAJAM) aims at promoting study and research in Applied Mathematics in East Asia. It is the editorial policy of EAJAM to accept refereed papers in all active areas of Applied Mathematics and related Mathematical Sciences. Novel applications of Mathematics in real situations are especially welcome. Substantial survey papers on topics of exceptional interest will also be published occasionally.