Higher-order solutions of a matrix AKNS system associated with a Hermitian symmetric space

Publication date: Available online 8 July 2019Source: Physics Letters AAuthor(s): Xianguo Geng, Jing Shen, Bo XueAbstractIn this paper, we study a matrix Ablowitz–Kaup–Newell–Segur (AKNS) system associated with a Hermitian symmetric space as a follow-up study of an earlier paper. A multi-fold generalized Darboux transformation of the matrix AKNS system associated with a Hermitian symmetric space is constructed by means of determinants. Subsequently, we derive various higher-order solutions for this system, including fan-shaped rogue wave and (truncated) Kuznetsov–Ma breather solutions. Specifically, we show the fusion and fission processes for two truncated Kuznetsov–Ma breathers by taking different free parameters.

Source: Physics Letters A - July 9, 2019 Category: Physics Source Type: research