Title :
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
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;
Conference_Titel :
Day on Diffraction, 1999. Proceedings. International Seminar
Conference_Location :
St. Petersburg
Print_ISBN :
5-7997-0156-9
DOI :
10.1109/DD.1999.816183
