Multi-soliton management by the integrable nonautonomous nonlinear integro-differential Schrödinger equation

Journal Article · Sat Nov 15 04:00:00 EST 2014 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/J.AOP.2014.07.018· OSTI ID:22403431

Zhang, Yu-Juan ^[1]; Zhao, Dun ^[1]; Luo, Hong-Gang ^[2]

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1. School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000 (China)
2. Center for Interdisciplinary Studies, Lanzhou University, Lanzhou 730000 (China)

We consider a wide class of integrable nonautonomous nonlinear integro-differential Schrödinger equation which contains the models for the soliton management in Bose–Einstein condensates, nonlinear optics, and inhomogeneous Heisenberg spin chain. With the help of the nonisospectral AKNS hierarchy, we obtain the N-fold Darboux transformation and the N-fold soliton-like solutions for the equation. The soliton management, especially the synchronized dispersive and nonlinear management in optical fibers is discussed. It is found that in the situation without external potential, the synchronized dispersive and nonlinear management can keep the integrability of the nonlinear Schrödinger equation; this suggests that in optical fibers, the synchronized dispersive and nonlinear management can control and maintain the propagation of a multi-soliton. - Highlights: • We consider a unified model for soliton management by an integrable integro-differential Schrödinger equation. • Using Lax pair, the N-fold Darboux transformation for the equation is presented. • The multi-soliton management is considered. • The synchronized dispersive and nonlinear management is suggested.

• OSTI ID: 22403431
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Vol. 350; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSE-EINSTEIN CONDENSATION
INTEGRAL CALCULUS
NONLINEAR OPTICS
NONLINEAR PROBLEMS
OPTICAL FIBERS
SCHROEDINGER EQUATION
SOLITONS
SPIN
UNIFIED MODEL