Integrable initial-boundary-value problems
Teoretičeskaâ i matematičeskaâ fizika, Tome 86 (1991) no. 1, pp. 43-52
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Initial-boundary-value problems on a half-axis for integrable equations are considered. Solutions of an initial-boundary-value problem for the nonlinear Schrödinger equation and the sine-Gordon equation for definite types of boundary conditions are described in terms of scattering data.
@article{TMF_1991_86_1_a3,
author = {I. T. Habibullin},
title = {Integrable initial-boundary-value problems},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {43--52},
publisher = {mathdoc},
volume = {86},
number = {1},
year = {1991},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1991_86_1_a3/}
}
I. T. Habibullin. Integrable initial-boundary-value problems. Teoretičeskaâ i matematičeskaâ fizika, Tome 86 (1991) no. 1, pp. 43-52. http://geodesic.mathdoc.fr/item/TMF_1991_86_1_a3/