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Birkhäuser - Birkhäuser Mathematics - Scuola Normale Superiore | Lectures on nonlinear physics

Lectures on nonlinear physics

Bulanov, Sergei V.

226 p.


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ISBN 978-88-7642-267-6

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  • About this textbook

The main goal of these lectures is to get students acquainted with a glossary of nonlinear physics. I try to present the material of the lectures (delivered at SNS Pisa in April -- June 1999) in such a way that the students do not need to use additional literature during the first reading. The lectures focus on the following arguments: discussion of nonlinear problems in classical physics; the use of the multiple time scale expansion method to solve problems of nonlinear oscillations; description of nonlinear wave steepening and shock wave formation using the Lagrange variables; solution of nonlinear elliptic equations considering the Liouville equation; soliton solutions of the Korteweg de Vries, Sine-Gordon and Nonlinear Schrödinger equations; the use of the Backlund transformation; self-similarity of nonlinear systems.

Content Level » Research

Keywords » nonlinear physics

Related subjects » Scuola Normale Superiore

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