Multi-soliton, breather and rogue wave solutions of a generalized Kaup-Newell system

• Published in: Physica scripta Vol. 100; no. 8; pp. 85239 - 85256
• Main Authors: Zhang, Huiwen, Li, Longxing, Zhu, Chendi
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.08.2025
• Subjects: breather; coupled derivative nonlinear Schrödinger equation; Darboux transformation; rogue wave

In this paper, we derive a generalized Kaup-Newell system corresponding to a 4 × 4 matrix spectral problem by means of the zero-curvature equation, and construct the bi-Hamiltonian structures of this system. Significantly, a new coupled derivative nonlinear Schrödinger equation is produced from the...