23 citations · 28 across the 5 of their papers we have counts for
4 papers · 1 filter
Global in Time Madelung Transformation for Kolmogorov-Feller Pseudodifferential Equations
S. Albeverio, V. G. Danilov
Using an idea going back to Madelung we construct global in time solutions to the transport equation corresponding to the asymptotic solution of the Kolmogorov-Feller equation desc…
Exact self-similar and two-phase solutions of systems of semilinear parabolic equations
K. A. Volosov, V. G. Danilov, A. M. Loginov
Exact single-wave and two-wave solutions of systems of equations of Newell-Whitehead type are presented. The Painleve test and calculations in the spirit of Hirota are used to cons…
Propagation and interaction of shock waves of quasilinear equation
Vladimir G. Danilov, Vladimir M. Shelkovich
We propose a new regularization method for constructing a shock wave type solution with nonsmooth front (interaction of shock waves) for quasilinear equations in the one-dimensiona…
Propagation of infinitely narrow delta-solitons
Vladimir G. Danilov, Vladimir M. Shelkovich
We construct a definition of the weak solution to KdV type equations with small dispersion admitting the zero dispersion limit for soliton-like solutions. Using this definition, we…