Exact solutions of a negative matrix AKNS system with a Hermitian symmetric space

DOI10.1016/j.aml.2018.10.006zbMath1410.35181OpenAlexW2897380082WikidataQ129061289 ScholiaQ129061289MaRDI QIDQ1726572

Jing Shen, Bo Xue, Xiangguo Geng

Publication date: 20 February 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.10.006

zbMATH Keywords

Darboux transformationnegative matrix AKNS systemRogue wave

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items

Riemann-Hilbert approach and \(N\)-soliton solutions for a negative matrix AKNS system with a Hermitian symmetric space ⋮ A three-component differential-difference model: integrability, Darboux transformation and exact solutions ⋮ Darboux transformation and exact multisolitons for a matrix coupled dispersionless system ⋮ Higher-order solutions of a matrix AKNS system associated with a Hermitian symmetric space

Cites Work

• Unnamed Item
• Unnamed Item
• A new nonlinear wave equation: Darboux transformation and soliton solutions
• Periodic and rational solutions of the reduced Maxwell-Bloch equations
• The sine-Gordon model and its applications. From pendula and Josephson junctions to gravity and high-energy physics
• Rogue wave solutions of AB system
• Bäcklund transformations and loop group actions