Titlebook: Mathematical Models with Singularities; A Zoo of Singular Cr Pedro J. Torres Book 2015 The Editor(s) (if applicable) and The Author(s), und

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Particles Under a Central Force Field,on, that is, it always points to the origin. The study of a radially symmetric system is reduced to a second-order scalar equation with a repulsive singularity. We review some of the most interesting models with radial symmetry.

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Bose-Einstein Condensates and Signal Transmission in Optical Fibers,s, especially those related with Quantum Mechanics. Dynamics of Bose-Einstein Condensates and signal transmission in Optical Fibers are the most important examples. In this chapter, we show that the study of the NLSE with cubic nonlinearity (Gross-Pitaevskii equation) is closely related to the analysis of differential equations with singularities.

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Book 2015r starts with a discussion of the basic model and its physical significance. Then the main results and typical proofs are outlined, followed by open problems. Each chapter is closed by a suitable list of references. The book may serve as a guide for researchers interested in the modelling of real world processes.

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