Dynamic Study of Cubic-Quintic Nonlinear Schrödinger Equation and Pattern Drifting

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2017, Vol. 34 ›› Issue (4): 495-504.

Dynamic Study of Cubic-Quintic Nonlinear Schrödinger Equation and Pattern Drifting

HUA Wei¹, LV Yan¹, LIU Shixing², LIU Xueshen³

1. College of Physics Science and Technology, Shenyang Normal University, Shenyang 110034, China;
2. College of Physics, Liaoning University, Shenyang 110036, China;
3. Institute of Atomic and Molecular Physics, Jilin University, Changchun 130012, China

Received:2016-05-10 Revised:2016-10-18 Online:2017-07-25 Published:2017-07-25
Supported by:
Supported by The National Natural Science Foundation of China (Grant Nos.11301350,11472124,and 11271158) and the Dr.Start-up fund in Liaoning Province,China (Grant No.20141050)

Abstract

Abstract: Dynamics of cubic-quintic nonlinear Schrödingeröequation are studied numerically with symplectic method. Behaviors of the equation are discussed with increased quintic nonlinear parameter. We observe homoclinic orbit crossing and elliptic orbit in turn and the system has recurrent solutions. Pattern drifting of solutions is also discussed. It is shown that pattern drifting can be slowed down by increasing the quintic nonlinear parameter.

Key words: nonlinear Schrödinger equation, phase space, pattern drifting, symplectic method

CLC Number:

O562

HUA Wei, LV Yan, LIU Shixing, LIU Xueshen. Dynamic Study of Cubic-Quintic Nonlinear Schrödinger Equation and Pattern Drifting[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 34(4): 495-504.

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