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- Title
A generalized Sasa–Satsuma equation on the half line: From Dirichlet to Neumann map.
- Authors
Zhu, Qiaozhen
- Abstract
In this paper, we study the initial-boundary value (IBV) problem for a generalized Sasa–Satsuma equation with 3 × 3 Lax pair by Fokas unified method on the half line. Based on the analyticity and asymptotics of the eigenfunctions, the IBV problem is formulated as a Riemann–Hilbert (RH) problem. Further, the global relation among IBVs is established and the map from the Dirichlet boundary value to Neumann boundary value is obtained.
- Subjects
EQUATIONS; RIEMANN-Hilbert problems; LAX pair; EIGENFUNCTIONS
- Publication
International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics, 2023, Vol 37, Issue 30, p1
- ISSN
0217-9792
- Publication type
Article
- DOI
10.1142/S0217979223502636