Perturbation Methods for Solitons and Their Behavior as Particles
This paper is a partial summary of two plenary presentations by the author at two related conferences “Nonlinear Science and Complexity” and “New Trends in Nanotechnology and Nonlinear Dynamical Systems,” held in July 2010 in Ankara, Turkey. It outlines both well established and some recent achievements in asymptotic perturbation theory of solitary waves (solitons) and its applications to internal gravity waves in the ocean.
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