A Riemann-Hilbert approach to the Kundu-nonlinear Schrödinger equation and its multi-component generalization

DOI10.1016/j.jmaa.2021.125109zbMath1466.35277OpenAlexW3134953992MaRDI QIDQ2020445

Jian Li, Tie-cheng Xia

Publication date: 23 April 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125109

zbMATH Keywords

Riemann-Hilbert problem\(N\)-soliton solutionsKundu-nonlinear Schrödinger equationmulti-component Kundu-nonlinear Schrödinger systemscattering relationship

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08)

Related Items (8)

Long-time asymptotics of the good Boussinesq equation with q xx-term and its modified version ⋮ A Riemann-Hilbert approach in the form of a block matrix for the coupled matrix integrable system ⋮ A plentiful supply of soliton solutions for DNA Peyrard–Bishop equation by means of a new auxiliary equation strategy ⋮ Darboux transformation and soliton solutions for nonlocal Kundu-NLS equation ⋮ Multi-soliton solutions for the three types of nonlocal Hirota equations via Riemann–Hilbert approach ⋮ Liouville integrability and explicit solutions for a Frobenius‐coupled integrable lattice hierarchy ⋮ The N-soliton solutions to the Hirota and Maxwell–Bloch equation via the Riemann–Hilbert approach ⋮ Riemann-Hilbert approach for the Kundu equation with non-vanishing boundary conditions: simple and double poles

Cites Work

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• Darboux transformation and Rogue waves of the Kundu-nonlinear Schrödinger equation
• The nonlinear Schrödinger equation on the half-line

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