Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 17, Issue 6, Pages 2372-2381Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2011.10.017
Keywords
Quintic generalization of the coupled cubic nonlinear Schrodinger equation; Darboux transformation; Soliton solutions; Symbolic computation
Categories
Funding
- National Natural Science Foundation of China [60772023]
- Fundamental Research Funds for the Central Universities of China [2011BUPTYB02]
- State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics [SKLSDE-2010ZX-07, SKLSDE-2011KF-03]
- National High Technology Research and Development Program of China (863 Program) [2009AA043303]
- Chinese Ministry of Education [200800130006]
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In this paper, by virtue of the Darboux transformation (DT) and symbolic computation, the quintic generalization of the coupled cubic nonlinear Schrodinger equations from twin-core nonlinear optical fibers and waveguides are studied, which describe the effects of quintic nonlinearity on the ultrashort optical pulse propagation in non-Kerr media. Lax pair of the equations is obtained and the corresponding DT is constructed. Moreover, one-, two- and three-soliton solutions are presented in the forms of modulus. Features of solitons are graphically discussed: (1) head-on and overtaking elastic collisions of the two solitons; (2) periodic attraction and repulsion of the bounded states of two solitons; (3) energy-exchanging collisions of the three solitons. (C) 2011 Elsevier B.V. All rights reserved.
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