By Andrei Ludu
This quantity is an advent to nonlinear waves and soliton idea within the unique setting of compact areas this sort of closed curves and surfaces and different area contours. It assumes familiarity with simple soliton thought and nonlinear dynamical systems.
The first a part of the ebook introduces the mathematical inspiration required for treating the manifolds thought of, supplying proper notions from topology and differential geometry. An creation to the idea of movement of curves and surfaces - as a part of the rising box of contour dynamics - is given.
The moment and 3rd elements talk about the modeling of varied actual solitons on compact platforms, comparable to filaments, loops and drops made up of nearly incompressible fabrics thereby intersecting with various actual disciplines from hydrodynamics to compact item astrophysics.
This booklet is meant for graduate scholars and researchers in arithmetic, physics and engineering.
This re-creation has been completely revised, multiplied and updated.
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Nonlinear Waves and Solitons on Contours and Closed Surfaces (Springer Series in Synergetics) by Andrei Ludu