Titlebook: Nonlinear Waves and Solitons on Contours and Closed Surfaces; Andrei Ludu Book 20071st edition Springer-Verlag Berlin Heidelberg 2007 Soli

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Nonlinear Surface Waves in Three Dimensionse liquid drop models of nuclei, especially heavy nuclei, super- and hyperdeformed nuclei, nuclear breakup and fission, where the surface energy plays an important role. They also play a role in the modeling of atomic clusters and clouds of electrons in high magnetic fields. Zooming out from the Angs

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Other Special Nonlinear Compact Systemsedict the possibility of existence of such exotic shapes from some first geometric principles. In the frame of geometric collective models, for example, it can be shown that these types of shapes can be created through the formalism of nonlinear symmetry groups. We conclude the chapter by presenting

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Mathematical Prerequisitesequations. They describe the evolution of the wave solutions in space and time. These nonlinear equations are usually coupled with linear or nonlinear boundary conditions (BC), initial conditions, or asymptotic conditions. The properties of solutions are dependent on the topological and geometrical structure of the space on which they are defined.

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