Evolution of a solitonless large-scale perturbation in Korteweg-de Vries hydrodynamics

Research output: Contribution to journalArticlepeer-review


External departments

  • RAS - Pushkov Institute of Terrestrial Magnetism, Ionosphere and Radiowave Propagation
  • RAS - United Schmidt Institute of Physics of the Earth


Original languageEnglish
Pages (from-to)49-52
Number of pages4
JournalPhysics Letters A
Issue number1
Publication statusPublished - 8 Nov 1993
Externally publishedYes
Publication type

Research output: Contribution to journalArticlepeer-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.