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Solitary waves and their linear stability in nonlinear lattices
Solitary waves their linear stability nonlinear lattices Pattern Formation and Solitons
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2011/8/2
Abstract: Solitary waves in a general nonlinear lattice are discussed, employing as a model the nonlinear Schr\"odinger equation with a spatially periodic nonlinear coefficient. An asymptotic theory i...
Exact solutions for periodic and solitary matter waves in nonlinear lattices
Exact solutions periodic solitary matter waves nonlinear lattices
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2010/12/28
We produce three vast classes of exact periodic and solitonic solutions to the one-dimensional
Gross-Pitaevskii equation (GPE) with the pseudopotential in the form of a nonlinear lattice (NL),induced...
Solitons in nonlinear lattices
Optics (physics.optics) Quantum Gases (cond-mat.quant-gas) Pattern Formation and Solitons (nlin.PS)
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2010/11/11
This article offers a comprehensive survey of results obtained for solitons and complex nonlinear wave patterns supported by purely nonlinear lattices (NLs), which represent a spatially periodic modul...
Some Special Solutions of Three Nonlinear Lattices
nonlinear lattices soliton solution symbolic computation
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2007/8/15
2005Vol.44No.2pp.293-296DOI:
Some Special Solutions of Three Nonlinear Lattices
XIE Fu-Ding1,2
1 Department of Computer Science, Liaoning Normal University,
Dalian...
Quantum nonlinear lattices and coherent state vectors
Quantum nonlinear lattices coherent state vectors
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2010/10/15
Quantized nonlinear lattice models are considered for two different classes, boson and
fermionic ones. The quantum discrete nonlinear Schr¨odinger model (DNLS) is our main
objective, but its so call...