Higher Order Asymptotics of the Modified Non-Linear Schrödinger Equation
| dc.creator | Vartanian, A. H. | |
| dc.date | 1998-04-12 | |
| dc.date.accessioned | 2026-07-07T06:17:34Z | |
| dc.date.available | 2026-07-07T06:17:34Z | |
| dc.description | Using the matrix Riemann-Hilbert factorisation approach for non-linear evolution systems which take the form of Lax-pair isospectral deformations, the higher order asymptotics as $t \to \pm \infty$ $(x/t \sim {\cal O}(1))$ of the solution to the Cauchy problem for the modified non-linear Schrödinger equation, $i \partial_{t} u + {1/2} \partial_{x}^{2} u + | u |^{2} u + i s \partial_{x} (| u |^{2} u) = 0$, $s \in \Bbb R_{> 0}$, which is a model for non-linear pulse propagation in optical fibres in the subpicosecond time scale, are obtained: also derived are analogous results for two gauge-equivalent non-linear evolution equations; in particular, the derivative non-linear Schrödinger equation, $i \partial_{t} q + \partial_{x}^{2} q - i \partial_{x}(| q |^{2} q) = 0$. | |
| dc.description | 54 pages, 7 figures, LaTeX, long appendix | |
| dc.identifier | https://arxiv.org/abs/solv-int/9804013 | |
| dc.identifier | http://arxiv.org/abs/solv-int/9804013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94430 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Higher Order Asymptotics of the Modified Non-Linear Schrödinger Equation | |
| dc.type | text |