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On the initial value problem for the Davey-Stewartson systems
| Content Provider | Scilit |
|---|---|
| Author | Ghidaglia, J. -M Saut, J. -C |
| Copyright Year | 1990 |
| Description | Journal: Nonlinearity In the theory of water waves, the 2D generalisation of the usual cubic 1D Schrodinger equation turns out to be a family of systems: the Davey-Stewartson systems. For special values of the parameters characterising these systems, one obtains systems of the inverse scattering type. The authors' work addresses the very general case and their methods belong to the more standard theory of nonlinear partial differential equations. Well-posedness of the Cauchy problem and also finite-time blow-up are studied. |
| Related Links | http://iopscience.iop.org/article/10.1088/0951-7715/3/2/010/pdf |
| Ending Page | 506 |
| Page Count | 32 |
| Starting Page | 475 |
| ISSN | 09517715 |
| e-ISSN | 13616544 |
| DOI | 10.1088/0951-7715/3/2/010 |
| Journal | Nonlinearity |
| Issue Number | 2 |
| Volume Number | 3 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 1990-05-01 |
| Access Restriction | Open |
| Subject Keyword | Journal: Nonlinearity Cauchy Problem Schrodinger Equation Initial Value Problem Water Waves Inverse Scattering |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Statistical and Nonlinear Physics Mathematical Physics |