Initial-Boundary Value Problem for Two-Component Gerdjikov–Ivanov Equation with 3 × 3 Lax Pair on Half-Line

DOI10.1088/0253-6102/68/4/425zbMath1377.35235OpenAlexW3098984363MaRDI QIDQ4599943

Qiaozhen Zhu, Jian Xu, En-gui Fan

Publication date: 5 January 2018

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/68/4/425

zbMATH Keywords

initial-boundary value problemRiemann-Hilbert problemFokas unified methodtwo-component Gerdjikov-Ivanov equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (8)

The initial-boundary value problems of the new two-component generalized Sasa-Satsuma equation with a \(4\times 4\) matrix Lax pair ⋮ On the Riemann-Hilbert problem for the integrable three-coupled Hirota system with a \(4 \times 4\) matrix Lax pair ⋮ On the Riemann-Hilbert problem of the Kundu equation ⋮ Inverse scattering transform for the two‐component Gerdjikov–Ivanov equation with nonzero boundary conditions: Dark‐dark solitons ⋮ Initial-boundary value problems for the two-component complex modified Korteweg-de Vries equation on the interval ⋮ Conservation laws, soliton solutions and modulation instability for the coupled Gerdjikov-Ivanov equations ⋮ Riemann–Hilbert problem associated with the vector Lakshmanan–Porsezian–Daniel model in the birefringent optical fibers ⋮ On the Riemann-Hilbert problem for the mixed Chen-Lee-Liu derivative nonlinear Schrödinger equation

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