Robin boundary condition and shock problem for the focusing nonlinear Schrödinger equation
Overview & Synopsis
We consider the initial boundary value (IBV) problem for the focusing nonlinear Schrödinger equation in the quarter plane x > 0, t > 0 in the case of periodic initial data (at t = 0) and a Robin boundary condition at x = 0. Our approach is based on the simultaneous spectral analysis of the Lax pair equations combined with symmetry considerations for the corresponding Riemann-Hilbert problems. A connection between the original IBV problem and an associated initial value (IV) problem is established.
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hal.science)
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Document Information
| Document Title | Robin boundary condition and shock problem for the focusing nonlinear Schrödinger equation |
|---|---|
| Author / Organization | Spyridon Kamvissis, Dmitry Shepelsky, Lech Zielinski |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2022 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-249398 |
| Original Source Link | Visit Source Page on hal.science » |