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Exact solutions for periodic and solitary matter waves in nonlinear lattices
Exact solutions periodic solitary matter waves nonlinear lattices
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...
Computer Generated Images for Quadratic Rational Maps with a Periodic Critical Point
rational map complex dynamics plane curve singularities geometric
2010/12/8
We describe an algorithm for distinguishing hyperbolic compo-nents in the parameter space of quadratic rational maps with a periodic critical point. We then illustrate computer images of the hyperboli...