https://doi.org/10.1140/epjd/e2012-20718-0
Regular Article
Controllable rogue waves in the nonautonomous nonlinear system with a linear potential
1
School of Sciences, Zhejiang A&F University,
Lin’an, Zhejiang
311300, P.R.
China
2
School of Physical Science and Technology, Suzhou University,
Suzhou, Jiangsu
215006, P.R.
China
3
College of Physics and Electromechanical Engineering, Shaoguan
University, Guangdong
512005, P.R.
China
4
School of Science, Zhejiang Lishui University,
Lishui, Zhejiang
323000, P.R.
China
a e-mail: dcq424@126.com
Received:
9
December
2011
Received in final form:
13
February
2012
Published online:
30
April
2012
Based on the similarity transformation connected the nonautonomous nonlinear Schrödinger equation with the autonomous nonlinear Schrödinger equation, we firstly derive self-similar rogue wave solutions (rational solutions) for the nonautonomous nonlinear system with a linear potential. Then, we investigate the controllable behaviors of one-rogue wave, two-rogue wave and rogue wave triplets in a soliton control system. Our results demonstrate that the propagation behaviors of rogue waves, including postpone, sustainment, recurrence and annihilation, can be manipulated by choosing the relation between the maximum value of the effective propagation distance Zm and the parameter Z0. Moreover, the excitation time of controllable rogue waves is decided by the parameter T0.
Key words: Nonlinear Dynamics
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag 2012