Download E-books Nonlinear Waves and Solitons on Contours and Closed Surfaces (Springer Series in Synergetics) PDF

By Andrei Ludu

This quantity is an creation to nonlinear waves and soliton idea within the precise atmosphere of compact areas this type of closed curves and surfaces and different area contours. It assumes familiarity with uncomplicated soliton concept and nonlinear dynamical systems.

The first a part of the ebook introduces the mathematical idea required for treating the manifolds thought of, offering proper notions from topology and differential geometry. An advent to the speculation of movement of curves and surfaces - as a part of the rising box of contour dynamics - is given.

The moment and 3rd elements speak about the modeling of assorted actual solitons on compact structures, corresponding to filaments, loops and drops made up of virtually incompressible fabrics thereby intersecting with a good number of actual disciplines from hydrodynamics to compact item astrophysics.

This booklet is meant for graduate scholars and researchers in arithmetic, physics and engineering.

This new version has been completely revised, improved and updated.

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