By Andrei Ludu

This quantity is an creation to nonlinear waves and soliton thought within the unique surroundings of compact areas one of these 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 publication 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 components speak about the modeling of varied actual solitons on compact structures, comparable to filaments, loops and drops made up of virtually incompressible fabrics thereby intersecting with numerous actual disciplines from hydrodynamics to compact item astrophysics.

This publication 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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