A new form of general soliton solutions and multiple zeros solutions for a higher-order Kaup–Newell equation

DOI10.1063/5.0064411zbMath1486.35127arXiv2107.10095OpenAlexW3214806503MaRDI QIDQ5020210

Jinyan Zhu, Yong Chen

Publication date: 4 January 2022

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.10095

zbMATH Keywords

third-order dispersioninverse scatteringfifth-order nonlinearity

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08) Initial value problems for systems of nonlinear higher-order PDEs (35G55)

Related Items (7)

Long-time asymptotic behavior of the coupled dispersive AB system in low regularity spaces ⋮ Inverse scattering transforms of the inhomogeneous fifth-order nonlinear Schrödinger equation with zero/nonzero boundary conditions ⋮ Double and triple-pole solutions for the third-order flow equation of the Kaup-Newell system with zero/nonzero boundary conditions ⋮ The discrete modified Korteweg-de Vries equation under nonzero boundary conditions ⋮ General solitons and higher-order solitons of the reverse-time Manakov system ⋮ Bound‐state soliton and rogue wave solutions for the sixth‐order nonlinear Schrödinger equation via inverse scattering transform method ⋮ An extended Hirota bilinear method and new wave structures of (2+1)-dimensional Sawada-Kotera equation

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