Title :
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
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;
Conference_Titel :
Day on Diffraction, 1999. Proceedings. International Seminar
Conference_Location :
St. Petersburg
Print_ISBN :
5-7997-0156-9
DOI :
10.1109/DD.1999.816180
