The n -component nonlinear Schrödinger equations: dark–bright mixed N - and high-order solitons and breathers, and dynamics | Zendy

Guoqiang Zhang | Zendy; Zhenya Yan | Zendy

Open Access

The n -component nonlinear Schrödinger equations: dark–bright mixed N - and high-order solitons and breathers, and dynamics

Author(s) -

Guoqiang Zhang,

Zhenya Yan

Publication year - 2018

Publication title -

proceedings of the royal society a mathematical physical and engineering sciences

Language(s) - English

Resource type - Journals

eISSN - 1471-2946

pISSN - 1364-5021

DOI - 10.1098/rspa.2017.0688

Subject(s) - breather , soliton , transformation (genetics) , component (thermodynamics) , nonlinear system , order (exchange) , rogue wave , extension (predicate logic) , physics , mathematics , mathematical physics , quantum mechanics , computer science , biochemistry , chemistry , finance , economics , gene , programming language

The generaln -component nonlinear Schrödinger equations are systematically investigated with the aid of the Darboux transformation method and its extension. Firstly, we explore the condition of the existence for dark–bright mixed soliton solutions and derive an explicit formula of dark–bright mixed multi-soliton solutions in terms of the determinant. Secondly, we present the formula of dark–bright mixed high-order semi-rational solitons, and predict their generalN th-order wave structures. Thirdly, we investigate the wing-shaped structures of breather. Finally, we perform the numerical simulations for some representative solitons to study their dynamical behaviours.

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