This book addresses the issue of non-linear problems that have
dominated the forefront of physics. To analyse these problems, it
is necessary to develop mathematical methods to match new concepts.
In this connection, for the first time in a long time, the same key
notions have attracted the attention of physicists and
mathematicians. This book discusses how the role of such
excitations in essentially non-linear systems is similar to that of
harmonic oscillations and waves in linear physical models.
General
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