Published December 1985 | Version v1
Journal article

Solitons of the Korteweg-De Vries equation on the background of a known solution

  • 1. Institute of Precision Mechanics and Optics, Leningrad

Description

The authors consider for the example of the KdV equation, the application of a Darboux transformation to the finding of solitons on the background of a ''seed'' solution of arbitrary form. A study is made of the problem of finding the phase shifts of such solitons when they interact in pairs and also when a soliton interacts with a solution that decreases with respect to x

Additional details

Publishing Information

Journal Title
Theor. Math. Phys.
Journal Volume
63
Journal Issue
3
Series
Theor. Math. Phys.
Journal Page Range
545-550
ISSN
0040-5779
CODEN
TMPHA

Optional Information

Notes
Translated from Teoreticheskaya i Matema ticheskaya Fizika, Vol. 63, No. 3, pp. 333-339, June, 1985. Cover-to-cover translation of Teoreticheskaya i Matematicheskaya Fizika (USSR).