144 citations
- Coventry UniversityGB8 papers
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nlin.SI2003★ 105 cited
The thermodynamic limit of the Whitham equations
G. A. El
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…
nlin.SI2000★ 22 cited
Soliton Turbulence as a Thermodynamic Limit of Stochastic Soliton Lattices
Gennady A. El, Alexander L. Krylov, Stanislav A. Molchanov +1
We use recently introduced notion of stochastic soliton lattice for quantitative description of soliton turbulence. We consider the stochastic soliton lattice on a special band-gap…