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A generalized Sasa–Satsuma equation on the half line: From Dirichlet to Neumann map.
- Source :
-
International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics . 12/10/2023, Vol. 37 Issue 30, p1-13. 13p. - Publication Year :
- 2023
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *EQUATIONS
*RIEMANN-Hilbert problems
*LAX pair
*EIGENFUNCTIONS
Subjects
Details
- Language :
- English
- ISSN :
- 02179792
- Volume :
- 37
- Issue :
- 30
- Database :
- Academic Search Index
- Journal :
- International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics
- Publication Type :
- Academic Journal
- Accession number :
- 173107548
- Full Text :
- https://doi.org/10.1142/S0217979223502636