El, Gennady (2003) The thermodynamic limit of the Whitham equations. Physics Letters A, 311 (4-5). pp. 374-383. ISSN 0375-9601
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The thermodynamic limit of the Whitham equations.pdf - Accepted Version Available under License Creative Commons Attribution Non-commercial No Derivatives 4.0. Download (120kB) | Preview |
Official URL: https://doi.org/10.1016/S0375-9601(03)00515-2
Abstract
The infinite-genus limit of the KdV–Whitham equations is derived. The limit involves special scaling for the associated spectral surface such that the integrated density of states remains finite as N→∞ (the thermodynamic type limit). The limiting integro-differential system describes slow evolution of the density of states and can be regarded as the kinetic equation for soliton gas.
| Item Type: | Article |
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| Uncontrolled Keywords: | Modulation equations, Finite-gap potentials, Rotation number, Thermodynamic limit |
| Subjects: | F300 Physics G100 Mathematics |
| Department: | Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering |
| Depositing User: | John Coen |
| Date Deposited: | 16 Apr 2020 13:13 |
| Last Modified: | 31 Jul 2021 18:31 |
| URI: | http://nrl.northumbria.ac.uk/id/eprint/42803 |
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