| 000 | 02290nam a22003738i 4500 | ||
|---|---|---|---|
| 001 | CR9781316986769 | ||
| 003 | UkCbUP | ||
| 005 | 20240730160815.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 160718s2017||||enk o ||1 0|eng|d | ||
| 020 | _a9781316986769 (ebook) | ||
| 020 | _z9781107188846 (hardback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
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| 050 | 0 | 0 |
_aQA927 _b.B75 2017 |
| 082 | 0 | 4 |
_a531/.11330151535 _223 |
| 100 | 1 |
_aBridges, Thomas J., _d1955- _eauthor. _974928 |
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| 245 | 1 | 0 |
_aSymmetry, phase modulation, and nonlinear waves / _cThomas J. Bridges, University of Surrey |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2017. |
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| 300 |
_a1 online resource (ix, 228 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 490 | 1 |
_aCambridge monographs on applied and computational mathematics ; _v31 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 07 Jul 2017). | ||
| 520 | _aNonlinear waves are pervasive in nature, but are often elusive when they are modelled and analysed. This book develops a natural approach to the problem based on phase modulation. It is both an elaboration of the use of phase modulation for the study of nonlinear waves and a compendium of background results in mathematics, such as Hamiltonian systems, symplectic geometry, conservation laws, Noether theory, Lagrangian field theory and analysis, all of which combine to generate the new theory of phase modulation. While the build-up of theory can be intensive, the resulting emergent partial differential equations are relatively simple. A key outcome of the theory is that the coefficients in the emergent modulation equations are universal and easy to calculate. This book gives several examples of the implications in the theory of fluid mechanics and points to a wide range of new applications. | ||
| 650 | 0 |
_aNonlinear wave equations. _911596 |
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| 650 | 0 |
_aNonlinear waves. _93824 |
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| 650 | 0 |
_aPhase modulation. _974929 |
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| 776 | 0 | 8 |
_iPrint version: _z9781107188846 |
| 830 | 0 |
_aCambridge monographs on applied and computational mathematics ; _v31. _974930 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1017/9781316986769 |
| 942 | _cEBK | ||
| 999 |
_c84297 _d84297 |
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