Published April 2001
| Version v1
Journal article
On the theory of the nonlinear dispersion of wave packets in the multiple scales method
Description
The time evolution of spectrally narrow wave train that is described by the nonlinear Klein-Gordon equation is investigated in weakly nonlinear medium.The asymptotic expansion of a solution is built by the method of multiple scales up to ε5 inclusive.This expansion is defined by a complex function that has the sense of the first harmonic of a solution which satisfies the nonlinear evolutionary Schrodinger equation of a higher order
Additional details
Additional titles
- Original title (Ukrainian)
- Do teoryiyi nelyinyijnoyi dispersyiyi khvil'ovikh paketyiv u metodyi bagat'okh masshtabyiv
Publishing Information
- Journal Title
- Zhurnal Fyizichnikh Doslyidzhen'
- Journal Volume
- 5
- Journal Issue
- 2
- Journal Page Range
- p. 107-110
- ISSN
- 1027-4642
INIS
- Country of Publication
- Ukraine
- Country of Input or Organization
- Ukraine
- INIS RN
- 33054449
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- DISPERSION RELATIONS; KLEIN-GORDON EQUATION; NONLINEAR PROBLEMS; SCHROEDINGER EQUATION; SOLITONS; WAVE PACKETS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; QUASI PARTICLES; WAVE EQUATIONS