Solitons: Mathematical Methods for Physicists
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1981
|
| Series: | Springer Series in Solid-State Sciences
19 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | 1.1 Why Study Solitons? The last century of physics, which was initiated by Maxwell's completion of the theory of electromagnetism, can, with some justification, be called the era of linear physics. With few exceptions, the methods of theoretical physics have been dominated by linear equations (Maxwell, Schrodinger), linear mathematical objects (vector spaces, in particular Hilbert spaces), and linear methods (Fourier transforms, perturbation theory, linear response theory) . Naturally the importance of nonlinearity, beginning with the Navier-Stokes equations and continuing to gravitation theory and the interactions of particles in solids, nuclei, and quantized fields, was recognized. However, it was hardly possible to treat the effects of nonlinearity, except as a perturbation to the basis solutions of the linearized theory. During the last decade, it has become more widely recognized in many areas of "field physics" that nonlinearity can result in qualitatively new phenomena which cannot be constructed via perturbation theory starting from linearized equations. By "field physics" we mean all those areas of theoretical physics for which the description of physical phenomena leads one to consider field equations, or partial differential equations of the form (1.1.1) ~t or ~tt = F(~, ~x ... ) for one- or many-component "fields" Ht,x,y, ... ) (or their quantum analogs) |
| Physical Description: | 1 Online-Ressource (VIII, 194 p.) 6 illus |
| ISBN: | 9783642815096 9783540102236 |
| ISSN: | 0171-1873 |
| DOI: | 10.1007/978-3-642-81509-6 |
Staff View
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| indexdate | 2024-07-10T01:20:53Z |
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| isbn | 9783642815096 9783540102236 |
| issn | 0171-1873 |
| language | English |
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| spelling | Eilenberger, Gert Verfasser aut Solitons Mathematical Methods for Physicists by Gert Eilenberger Berlin, Heidelberg Springer Berlin Heidelberg 1981 1 Online-Ressource (VIII, 194 p.) 6 illus txt rdacontent c rdamedia cr rdacarrier Springer Series in Solid-State Sciences 19 0171-1873 1.1 Why Study Solitons? The last century of physics, which was initiated by Maxwell's completion of the theory of electromagnetism, can, with some justification, be called the era of linear physics. With few exceptions, the methods of theoretical physics have been dominated by linear equations (Maxwell, Schrodinger), linear mathematical objects (vector spaces, in particular Hilbert spaces), and linear methods (Fourier transforms, perturbation theory, linear response theory) . Naturally the importance of nonlinearity, beginning with the Navier-Stokes equations and continuing to gravitation theory and the interactions of particles in solids, nuclei, and quantized fields, was recognized. However, it was hardly possible to treat the effects of nonlinearity, except as a perturbation to the basis solutions of the linearized theory. During the last decade, it has become more widely recognized in many areas of "field physics" that nonlinearity can result in qualitatively new phenomena which cannot be constructed via perturbation theory starting from linearized equations. By "field physics" we mean all those areas of theoretical physics for which the description of physical phenomena leads one to consider field equations, or partial differential equations of the form (1.1.1) ~t or ~tt = F(~, ~x ... ) for one- or many-component "fields" Ht,x,y, ... ) (or their quantum analogs) Physics Mathematical physics Mathematical Methods in Physics Numerical and Computational Physics Mathematische Physik Soliton (DE-588)4135213-0 gnd rswk-swf Inverses Streuproblem (DE-588)4027547-4 gnd rswk-swf Soliton (DE-588)4135213-0 s Inverses Streuproblem (DE-588)4027547-4 s 1\p DE-604 Springer Series in Solid-State Sciences 19 (DE-604)BV000016582 19 https://doi.org/10.1007/978-3-642-81509-6 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Eilenberger, Gert Solitons Mathematical Methods for Physicists Springer Series in Solid-State Sciences Physics Mathematical physics Mathematical Methods in Physics Numerical and Computational Physics Mathematische Physik Soliton (DE-588)4135213-0 gnd Inverses Streuproblem (DE-588)4027547-4 gnd |
| subject_GND | (DE-588)4135213-0 (DE-588)4027547-4 |
| title | Solitons Mathematical Methods for Physicists |
| title_auth | Solitons Mathematical Methods for Physicists |
| title_exact_search | Solitons Mathematical Methods for Physicists |
| title_full | Solitons Mathematical Methods for Physicists by Gert Eilenberger |
| title_fullStr | Solitons Mathematical Methods for Physicists by Gert Eilenberger |
| title_full_unstemmed | Solitons Mathematical Methods for Physicists by Gert Eilenberger |
| title_short | Solitons |
| title_sort | solitons mathematical methods for physicists |
| title_sub | Mathematical Methods for Physicists |
| topic | Physics Mathematical physics Mathematical Methods in Physics Numerical and Computational Physics Mathematische Physik Soliton (DE-588)4135213-0 gnd Inverses Streuproblem (DE-588)4027547-4 gnd |
| topic_facet | Physics Mathematical physics Mathematical Methods in Physics Numerical and Computational Physics Mathematische Physik Soliton Inverses Streuproblem |
| url | https://doi.org/10.1007/978-3-642-81509-6 |
| volume_link | (DE-604)BV000016582 |
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