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

G. A. El'; V. V. Khodorovsky

doi:10.1016/0375-9601(93)90051-Z

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

G. A. El'^*, V. V. Khodorovsky

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	49-52
Number of pages	4
Journal	Physics Letters A
Volume	182
Issue number	1
DOIs	https://doi.org/10.1016/0375-9601(93)90051-Z
Publication status	Published - 8 Nov 1993
Externally published	Yes

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10.1016/0375-9601(93)90051-Z

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title = "Evolution of a solitonless large-scale perturbation in Korteweg-de Vries hydrodynamics",

abstract = "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.",

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AU - Khodorovsky, V. V.

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N2 - 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.

AB - 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.

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DO - 10.1016/0375-9601(93)90051-Z

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

Abstract

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