By Andrei Ludu
This quantity is an advent to nonlinear waves and soliton thought within the specified atmosphere of compact areas any such closed curves and surfaces and different area contours. It assumes familiarity with uncomplicated soliton idea and nonlinear dynamical systems.
The first a part of the e-book introduces the mathematical inspiration required for treating the manifolds thought of, offering suitable notions from topology and differential geometry. An advent 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, reminiscent of filaments, loops and drops made up of nearly incompressible fabrics thereby intersecting with quite a few 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, elevated and updated.
Read or Download Nonlinear Waves and Solitons on Contours and Closed Surfaces (Springer Series in Synergetics) PDF
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