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 recommendations of a type a differential specified 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 vital purposes for within the into consideration are mo- to the saw, instance, equations major mathematical discoveries is the Makhankov one of many similar V.G. by way of [60]. graph from this box tools that of convinced nonlinear by way of 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 through identified nonlinear on the the category of for comparable time, at present instance [89,94]). see, the opposite there's solvable this technique is slender available, PDEs sufficiently and, via of differential The latter known as the one other qualitative thought equations. method, the of assorted in comprises on pr- investigations well-posedness technique specific ideas such or lems for those the habit of as balance blowing-up, equations, those and this of process dynamical platforms generated by means of equations, etc., homes in wider category of a makes it to an difficulties (maybe attainable examine basically extra normal study).

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