2 papers
nlin.SI2000
Unified Approach to KdV Modulations
Gennady A. El, Alexander L. Krylov, Stephanos Venakides
We develop a unified approach to integrating the Whitham modulation equations. Our approach is based on the formulation of the initial value problem for the zero dispersion KdV as…
nlin.SI2000
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…