Integrable nonlocal nonlinear Schrödinger hierarchies of type \((-\lambda*,\lambda)\) and soliton solutions

DOI10.1016/s0034-4877(23)00052-6MaRDI QIDQ6072222

Wen-Xiu Ma

Publication date: 12 October 2023

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

matrix eigenvalue problemnonlinear Schrödinger equationssoliton solutionintegrable hierarchyRiemann-Hilbert techniquenonlocal integrable equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (6)

The commutative property of reciprocal transformations and dimensional deformations ⋮ Four-component integrable hierarchies and their Hamiltonian structures ⋮ Reduced AKNS spectral problems and associated complex matrix integrable models ⋮ Four-component integrable hierarchies of Hamiltonian equations with \((m+n+2)\)th-order Lax pairs ⋮ AKNS type reduced integrable bi-Hamiltonian hierarchies with four potentials ⋮ Stability of port-Hamiltonian systems with mixed time delays subject to input saturation

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