Nonautonomous rogue waves and 'catch' dynamics for the combined Hirota-LPD equation with variable coefficients

作者：Yu, Fajun^*

来源：Communications in Nonlinear Science & Numerical Simulation, 2016, 34: 142-153.

DOI：10.1016/j.cnsns.2015.10.018

• Nonlinear Schrodinger equation with higher-order terms
• Nonautonomous rogue wave
• Controllable behavior
• Darboux transformation

We study multi-rogue wave solutions of a Schrodinger equation with higher-order terms employing the generalized Darboux transformation. Some properties of the nonautonomous rogue waves are investigated analytically for the combined Hirota-Lakshmanan-Porsezian-Daniel (LPD) equation. We consider the controllable behaviors of this nonautonomous rogue wave solution with the nonlinearity management function and gain/loss coefficient It is reported that there are possibilities to 'catch' rogue waves through manipulating nonlinear function and gain/loss coefficient. Our approach can provide many possibilities to manipulate rogue waves and present the potential applications for the rogue wave phenomena.

• 出版日期2016-5
• 单位沈阳师范大学