Darboux transformation and exact solutions for the model of cylindrically symmetrical chiral field

Author

Gutshabash, E.Sh.

Author_Institution

Sci. Res. Inst. of Phys., St. Petersburg State Univ., Russia

fYear

1999

fDate

1999

Firstpage

48

Lastpage

56

Abstract

The application of the Darboux transformation method to the integrable model of a cylindrically symmetrical chiral field has been considered. The associated linear system of matrix equations has been proposed and the properties of symmetry for its solution obtained. The necessary form of Darboux transformation has been found and formal one- and N-soliton solutions constructed. With the use of Polhmayer´s transformation, a sine-Gordon type equation has been given and an hypothesis about its integrability proposed

Keywords

chiral symmetries; integration; matrix algebra; sine-Gordon equation; solitons; Darboux transformation; N-soliton solution; Polhmayer transformation; cylindrically symmetrical chiral field; exact solutions; integrability; integrable model; linear system; matrix equations; one-soliton solution; sine-Gordon type equation; Diffraction; Electronic mail; Inverse problems; Linear systems; Magnetization; Nonlinear equations; Physics; Space stations; Symmetric matrices; Transforms;

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.1999.816183

Filename

816183