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New features of Backlund and Darboux transformations in 2 + 1 dimensions
| Content Provider | Scilit |
|---|---|
| Author | Boiti, M. Pempinelli, F. Pogrebkov, Andrei Polivanov, M. C. |
| Copyright Year | 1991 |
| Description | Journal: Inverse Problems Backlund transformations of the time-dependent Schrodinger equation which transform a real potential into another real potential are constructed, as well as their Darboux versions. The iterated application of these Backlund transformations to a generic potential is considered and the obtained recursion relations are explicitly solved. It is shown that the dressing of the generic potential can be obtained by taking the continuous limit of this infinite sequence of Backlund transformations, and that the delta -bar integral equations, which solve the inverse spectral problem, can be obtained as the continuous limit of the recurrence equation defining the sequence of the Darboux transformations. |
| Related Links | http://iopscience.iop.org/article/10.1088/0266-5611/7/1/005/pdf |
| Ending Page | 56 |
| Page Count | 14 |
| Starting Page | 43 |
| ISSN | 02665611 |
| e-ISSN | 13616420 |
| DOI | 10.1088/0266-5611/7/1/005 |
| Journal | Inverse Problems |
| Issue Number | 1 |
| Volume Number | 7 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 1991-02-01 |
| Access Restriction | Open |
| Subject Keyword | Journal: Inverse Problems Mathematical Physics Integral Equation Time Dependent Schrodinger Equation |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Theoretical Computer Science Signal Processing Mathematical Physics Computer Science Applications |
