Bound‐state soliton and rogue wave solutions for the sixth‐order nonlinear Schrödinger equation via inverse scattering transform method

DOI10.1002/mma.8498zbMath1529.35477arXiv2103.14296OpenAlexW3182993292MaRDI QIDQ6141820

Wei-Qi Peng, Yong Chen

Publication date: 20 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.14296

zbMATH Keywords

inverse scattering transformRiemann-Hilbert problemnonlinear Schrödinger equationrogue wave 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) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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Multisoliton and general Wronskian solutions of a variable‐coefficient Korteweg–de Vries equation

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