In:
Teoreticheskaya i Matematicheskaya Fizika, Steklov Mathematical Institute, Vol. 209, No. 2 ( 2021-11), p. 258-273
Abstract:
The Fokas method is used to study the initial-boundary value problem for the combined Schrödinger and Gerdjikov-Ivanov equation on the half-line. Assuming that the solution $u(x,t)$ exists, it can be represented by the unique solution of a matrix Riemann-Hilbert problem formulated on the plane of the complex spectral parameter $\xi$. The jump matrices are given on the basis of the spectral functions, which are not independent, but are related by a global relation.
Type of Medium:
Online Resource
ISSN:
0564-6162
,
2305-3135
Language:
Russian
Publisher:
Steklov Mathematical Institute
Publication Date:
2021
detail.hit.zdb_id:
2550628-6
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