Published April 1992
| Version v1
Journal article
Fluctuating solitons of the KdV equations
Description
A new AKNS three-component system is introduced which is convenient for finding periodic and/or almost periodic solutions to the hierarchy of the KdV equations. It conserves the spectral functions which determine the spectrum of the auxiliary Schroedinger equation containing the solutions of the Korteweg-de Vries equations as potentials. By means of the Darboux and Abraham-Moses transformations new solutions are derived for the KdV hierarchy, which can be grasped as solitons on the fluctuating background. (author) 11 refs
Additional details
Publishing Information
- Journal Title
- Czechoslovak Journal of Physics
- Journal Volume
- 42
- Journal Issue
- 4
- Series
- Some parts of the paper were delivered in the talk at the III Potsdam-V Kiev International Workshop on Nonlinear Processes in Physics, Potsdam(USA), 1-11 August, 1991.;Czech. J. Phys.
- Journal Page Range
- 375-385
- ISSN
- 0011-4626
- CODEN
- CZYPA
INIS
- Country of Publication
- Czech Republic
- Country of Input or Organization
- Serbia and Montenegro
- INIS RN
- 23084170
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BOUND STATE; KORTEWEG-DE VRIES EQUATION; MILNE PROBLEM; SCHROEDINGER EQUATION; SOLITONS; SPECTRAL FUNCTIONS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; PARTIAL DIFFERENTIAL EQUATIONS; QUASI PARTICLES; WAVE EQUATIONS