| Volume 10, Number 6, 2020, Pages 2418-2438 DOI：10.11948/20190257 |
| Cauchy problem for the generalized Davey-Stewartson systems in Besov spaces and some counterexamples |
| Wenjing Song,Ganshan Yang |
| Keywords:Davey-Stewartson systems, F-expansion method, multi-order exact solutions, Lam function, Cauchy problem. |
| Abstract: |
| In this paper, the Cauchy problem of the generalized ellipse-ellipse type Davey-Stewartson systems is discussed. When the dimension of space is greater than or equal to two, we get a unique global solution in Besov spaces by contraction mapping argument. Moreover, by using the F-expansion method, the exact periodic wave solutions for the generalized ellipse-ellipse type Davey-Stewartson systems are discussed, some counter examples are given. |
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