A note on the Cauchy problem of the generalized Davey–Stewartson equations |
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| Authors: | Cuihua Guo Shangbin Cui |
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| Affiliation: | aDepartment of Mathematics, Shanxi University, Taiyuan, Shanxi 030006, People’s Republic of China;bDepartment of Mathematics, Sun Yat-Sen University, Guangzhou, Guangdong 510275, People’s Republic of China |
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| Abstract: | ![]()
In this note, we establish some local and global existence results for the Cauchy problem of a class of nonlinear dispersive equations which generalize the nonlinear Schrödinger equations and the Davey–Stewartson equations. These results improve some previously obtained results by some other authors when they are restricted to certain special equations. |
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| Keywords: | Davey– Stewartson equation Cauchy problem Existence |
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