Multi-soliton solutions of the \(N\)-component nonlinear Schrödinger equations via Riemann-Hilbert approach (Q6547440)

scientific article; zbMATH DE number 7856989

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English	Multi-soliton solutions of the \(N\)-component nonlinear Schrödinger equations via Riemann-Hilbert approach	scientific article; zbMATH DE number 7856989

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instance of

scholarly article

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title

Multi-soliton solutions of the \(N\)-component nonlinear Schrödinger equations via Riemann-Hilbert approach (English)

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30 May 2024

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zbMATH Keywords

\(N\)-component NLS equations

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Lax pair

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Riemann-Hilbert approach

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multi-soliton solutions

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MaRDI profile type

Publication

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cites work

Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman

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An<i>N</i>-soliton solution to the DNLS equation based on revised inverse scattering transform

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Darboux transformation and multi-soliton solutions for some soliton equations

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Symmetry reductions and explicit solutions of a \((3+1)\)-dimensional PDE

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The Hirota's bilinear method and the tanh-coth method for multiple-soliton solutions of the Sawada-Kotera-Kadomtsev-Petviashvili equation

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Soliton generation for initial-boundary-value problems

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Soliton resolution for the derivative nonlinear Schrödinger equation

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The three-wave equation on the half-line

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On the Riemann-Hilbert problem for the mixed Chen-Lee-Liu derivative nonlinear Schrödinger equation

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On the Riemann–Hilbert problem of a generalized derivative nonlinear Schrödinger equation

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Riemann-Hilbert approach for the Camassa-Holm equation on the line

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Constructing variable coefficient nonlinear integrable coupling super AKNS hierarchy and its self‐consistent sources

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On the Riemann-Hilbert problem of the Kundu equation

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Asymptotics of orthogonal polynomials via the Riemann-Hilbert approach

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Bäcklund transformation, superposition formulae and \(N\)-soliton solutions for the perturbed Korteweg-de Vries equation

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Bäcklund transformation and soliton solutions for the shallow water waves equation

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Long-time asymptotics and the bright \(N\)-soliton solutions of the Kundu-Eckhaus equation via the Riemann-Hilbert approach

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Long-time asymptotics for the spin-1 Gross-Pitaevskii equation

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Long-time asymptotics for a mixed nonlinear Schrödinger equation with the Schwartz initial data

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Riemann-Hilbert approach and \(N\)-soliton solutions for a generalized Sasa-Satsuma equation

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The inverse scattering transform and soliton solutions of a combined modified Korteweg-de Vries equation

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Integrability aspects and multi-soliton solutions of a new coupled Gerdjikov-Ivanov derivative nonlinear Schrödinger equation

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Darboux transformation of the coupled nonisospectral Gross-Pitaevskii system and its multi-component generalization

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Riemann-Hilbert problems and \(N\)-soliton solutions for a coupled mKdV system

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\(N\)-soliton solution of the Kundu-type equation via Riemann-Hilbert approach

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The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations

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Multiple soliton solutions and multiple singular soliton solutions of the modified KdV equation with first-order correction

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Riemann-Hilbert approach and \(N\)-soliton solution for an eighth-order nonlinear Schrödinger equation in an optical fiber

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The solvability and explicit solutions of singular integral-differential equations of non-normal type via Riemann-Hilbert problem

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

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Darboux transformation and multi-dark soliton for<i>N</i>-component nonlinear Schrödinger equations

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Identifiers

zbMATH Open document ID

1537.3531

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Mathematics Subject Classification ID

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10.1007/S11071-021-06706-7

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Sitelinks

Mathematics(1 entry)

mardi Publication:6547440