Mathematical Physics

Download E-books Korteweg-de Vries and Nonlinear Schrodinger Equations: Qualitative Theory PDF

By Peter E. Zhidkov

- of nonlinear the of solitons the the final 30 thought partial conception in the course of years - has into ideas of a sort a differential targeted equations (PDEs) owning grown and in view the eye of either mathematicians box that pulls physicists huge and of the of the issues of its novelty difficulties. actual very important functions for within the into account are mo- to the saw, instance, equations best mathematical discoveries is the Makhankov one of many similar V.G. via [60]. graph from this box equipment that of convinced nonlinear via equations threat learning inverse those to the matter; equations have been examine quantum scattering constructed this system of the inverse referred to as solvable the scattering challenge (on topic, are by way of recognized nonlinear on the the category of for comparable time, presently instance [89,94]). see, the opposite there's solvable this technique is slim available, PDEs sufficiently and, through of differential The latter referred to as the one other qualitative thought equations. process, the of varied in comprises on pr- investigations well-posedness process specific ideas such or lems for those the habit of as balance blowing-up, equations, those and this of process dynamical structures generated through equations, etc., homes in wider category of a makes it to an difficulties (maybe attainable examine basically extra common study).

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