Lectures on nonlinear physics

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.

Summary

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.

Product details

• Authors: Sergei Bulanov, Sergei V Bulanov, Sergei V. Bulanov
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 13.10.2011
• EAN: 9788876422676
• ISBN: 978-88-7642-267-6
• No. of pages: 226
• Illustrations: 226 p.
• Series: Publications of the Scuola Normale Superiore; Publications of the Scuola Normale Superiore / CRM Series; Publications of the Scuola Nor; Publications of the Scuola Nor; Publications of the Scuola Normale Superiore
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > General, dictionaries; B, Physics, Physics and Astronomy, Mathematical Methods in Physics, nonlinear physics