Lectures on nonlinear physics
Seiten
2001
|
2001 ed.
Scuola Normale Superiore (Verlag)
978-88-7642-267-6 (ISBN)
Scuola Normale Superiore (Verlag)
978-88-7642-267-6 (ISBN)
The main goal of these lectures is to get students acquainted with a glossary of nonlinear physics. The lectures focus on the following arguments: discussion of nonlinear problems in classical physics; description of nonlinear wave steepening and shock wave formation using the Lagrange variables;
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.
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.
| Erscheint lt. Verlag | 1.10.2001 |
|---|---|
| Reihe/Serie | Publications of the Scuola Normale Superiore |
| Zusatzinfo | 226 p. |
| Verlagsort | Pisa |
| Sprache | englisch |
| Maße | 170 x 240 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik |
| Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika | |
| Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
| ISBN-10 | 88-7642-267-6 / 8876422676 |
| ISBN-13 | 978-88-7642-267-6 / 9788876422676 |
| Zustand | Neuware |
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