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Riemann-Hilbert problem associated with the vector Lakshmanan-Porsezian-Daniel model in the birefringent optical fibers
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In this paper, we investigate vector Lakshmanan-Porsezian-Daniel (VLPD)
model which can be used to describe the ultrashort pulses in the
birefringent optical fiber. Based on the unified transformation method,
the Riemann-Hilbert problem is introduced and initial-boundary value
problems of the VLPD model are studied. By solving the formulated matrix
Riemann-Hilbert problem, the potential function solutions of the VLPD
model can be reconstructed. Moreover, that the spectral functions are
not independent but meet the so-called global relation is shown.
Title: Riemann-Hilbert problem associated with the vector Lakshmanan-Porsezian-Daniel model in the birefringent optical fibers
Description:
In this paper, we investigate vector Lakshmanan-Porsezian-Daniel (VLPD)
model which can be used to describe the ultrashort pulses in the
birefringent optical fiber.
Based on the unified transformation method,
the Riemann-Hilbert problem is introduced and initial-boundary value
problems of the VLPD model are studied.
By solving the formulated matrix
Riemann-Hilbert problem, the potential function solutions of the VLPD
model can be reconstructed.
Moreover, that the spectral functions are
not independent but meet the so-called global relation is shown.
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