Inverse scattering transform for the Sasa-Satsuma equation: multiple-pole case of \(N\) pairs

DOI10.1007/s00033-024-02336-2MaRDI QIDQ6622640

Huan Liu, Pan-Pan Zhou, Xianguo Geng

Publication date: 22 October 2024

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

Riemann-Hilbert problemSasa-Satsuma equation\(N\)-multipole solutions

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15)

Cites Work

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• The algebraic representation for high order solution of Sasa-Satsuma equation
• Multiple pole solutions of the nonlinear Schrödinger equation
• High-order soliton matrices for Sasa-Satsuma equation via local Riemann-Hilbert problem
• The Deift-Zhou steepest descent method to long-time asymptotics for the Sasa-Satsuma equation
• Far-field asymptotics for multiple-pole solitons in the large-order limit
• Asymptotics for the Sasa-Satsuma equation in terms of a modified Painlevé II transcendent
• Large-order asymptotics for multiple-pole solitons of the focusing nonlinear Schrödinger equation
• Rogue wave spectra of the Sasa-Satsuma equation
• Coalescence of Wavenumbers and Exact Solutions for a System of Coupled Nonlinear Schrödinger Equations
• The unified transform method for the Sasa–Satsuma equation on the half-line
• Higher-Order Solitons in the N-Wave System
• A Unified Approach to Boundary Value Problems
• Squared eigenfunctions for the Sasa–Satsuma equation
• New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation
• The Riemann–Hilbert Problem and Inverse Scattering
• An Introduction to Numerical Analysis
• General soliton matrices in the Riemann–Hilbert problem for integrable nonlinear equations
• The Linearization of the Initial-Boundary Value Problem of the Nonlinear Schrödinger Equation
• Asymptotics for the multiple pole solutions of the nonlinear Schrödinger equation
• Higher-order rogue wave solutions of the Sasa–Satsuma equation
• The bound-state soliton solutions of the complex modified KdV equation
• The regularity of the multiple higher‐order poles solitons of the NLS equation
• Exact solutions to the focusing nonlinear Schrödinger equation

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