Spectral properties of polar operators with finite-gap elliptic densities

Author

Dmitrieva, L.A. ; Pyatkin, U.A.

Author_Institution

Dept. of Math. & Comput. Phys., Inst. for Phys., Russia

fYear

1999

fDate

1999

Firstpage

26

Lastpage

31

Abstract

The higher-times approach to construction of finite-gap solutions of the Harry Dim equation has been improved. It is based on an explicit representation of conservation laws´ fluxes as differential polynomials. In the stationary limit along with well-known smooth densities also some new singular one- and two-gap densities of the polar operator associated with the Harry Dim equation have been built. The procedure of reduction of one- and two-gap densities into the soliton sector has been verified

Keywords

Korteweg-de Vries equation; Schrodinger equation; polynomials; solitons; spectral analysis; Harry Dim equation; conservation laws fluxes; differential polynomials; explicit representation; finite-gap elliptic densities; finite-gap solutions; higher-times approach; polar operators; singular one-gap density; singular two-gap density; smooth densities; soliton sector; spectral properties; stationary limit; Differential equations; Diffraction; Physics computing; Polynomials; Potential well; Schrodinger equation; Solitons; Spectral analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Day on Diffraction, 1999. Proceedings. International Seminar

Conference_Location

St. Petersburg

Print_ISBN

5-7997-0156-9

Type

conf

DOI

10.1109/DD.1999.816180

Filename

816180