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Lectures on nonlinear physics, Paperback / softback Book

Lectures on nonlinear physics Paperback / softback

Part of the Publications of the Scuola Normale Superiore series

Paperback / softback

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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 Schroedinger equations; the use of the Backlund transformation; self-similarity of nonlinear systems.

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