- RAS - Pushkov Institute of Terrestrial Magnetism, Ionosphere and Radiowave Propagation
- RAS - United Schmidt Institute of Physics of the Earth
Research output: Contribution to journal › Article › peer-review
Dispersive spreading of a localized solitonless initial perturbation in KdV hydrodynamics with a slight dispersion is investigated with the aid of Whitham's slow modulation method and the generalized hodograph transformation. An exact solution of the appropriate Gurevich-Pitaevsky problem is constructed and a comparison is made with the results of the inverse scattering problem method in the quasiclassical limit.