The mKdV equation on a finite interval
| dc.creator | de Monvel, Anne Boutet | |
| dc.creator | Shepelsky, Dmitry | |
| dc.date | 2003-07-14 | |
| dc.date.accessioned | 2026-07-07T04:59:39Z | |
| dc.date.available | 2026-07-07T04:59:39Z | |
| dc.description | We analyse an initial-boundary value problem for the mKdV equation on a finite interval by expressing the solution in terms of the solution of an associated matrix Riemann-Hilbert problem in the complex $k$-plane. This Riemann-Hilbert problem has explicit $(x,t)$-dependence and it involves certain functions of $k$ referred to as ``spectral functions''. Some of these functions are defined in terms of the initial condition $q(x,0)=q_0(x)$, while the remaining spectral functions are defined in terms of two sets of boundary values. We show that the spectral functions satisfy an algebraic ``global relation'' that characterize the boundary values in spectral terms. | |
| dc.description | LaTeX, 7 pages | |
| dc.identifier | https://arxiv.org/abs/math/0307194 | |
| dc.identifier | http://arxiv.org/abs/math/0307194 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68072 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Spectral Theory | |
| dc.subject | 37K15, 35Q53, 35Q15 | |
| dc.title | The mKdV equation on a finite interval | |
| dc.type | text |