scholarly journals Dynamics of high-order solitons in the nonlocal nonlinear Schrödinger equations

2018 ◽  
Vol 94 (1) ◽  
pp. 489-502 ◽  
Author(s):  
Bo Yang ◽  
Yong Chen
Keyword(s):  
High Order ◽  
Nonlinear Schrödinger Equations ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Nonlinear Schrödinger ◽  
Nonlinear Schrodinger Equations ◽  
Nonlocal Nonlinear

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

2018 ◽  
Vol 474 (2215) ◽  
pp. 20170688 ◽  
Author(s):  
Guoqiang Zhang ◽  
Zhenya Yan
Keyword(s):  
Numerical Simulations ◽  
Explicit Formula ◽  
Soliton Solutions ◽  
Transformation Method ◽  
High Order ◽  
Nonlinear Schrödinger Equations ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Nonlinear Schrödinger ◽  
Nonlinear Schrodinger Equations

The general n -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 general N 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.

Sign in / Sign up

Export Citation Format

Share Document