By Andrei Ludu
This quantity is an creation to nonlinear waves and soliton conception within the distinct setting of compact areas this type of closed curves and surfaces and different area contours. It assumes familiarity with simple soliton conception and nonlinear dynamical systems.
The first a part of the e-book introduces the mathematical notion required for treating the manifolds thought of, delivering appropriate 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 assorted actual solitons on compact platforms, reminiscent of filaments, loops and drops made from virtually incompressible fabrics thereby intersecting with loads of actual disciplines from hydrodynamics to compact item astrophysics.
This e-book is meant for graduate scholars and researchers in arithmetic, physics and engineering.
This re-creation has been completely revised, extended and updated.
Read or Download Nonlinear Waves and Solitons on Contours and Closed Surfaces (Springer Series in Synergetics) PDF
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Nonlinear Waves and Solitons on Contours and Closed Surfaces (Springer Series in Synergetics) by Andrei Ludu