Explicit solutions in soliton theory using matrix boundary Riemann problem

Author

Dmitrieva, I.

Author_Institution

Higher Math. Dept., Odessa Nat. Acad. of Telecommun. (ONAT), Odessa, Ukraine

fYear

2014

fDate

26-28 Aug. 2014

Firstpage

5

Lastpage

8

Abstract

Vector boundary Riemann problem with permutation matrix coefficient is proposed as analytic technique of the Landau-Lifshitz equation study. Spectral parameter of the latter varies on a hyperelliptic surface in the case of complete anisotropy and arbitrary finite genus of covering. Algebraic equations of coverings regarding the unknown vector field function are obtained as for the original problem statement, as for the most interesting non-Abelian (non-commutative) version caused by the initially given commutative condition.

Keywords

anisotropic media; electromagnetic wave scattering; matrix algebra; nonlinear equations; solitons; vectors; Landau-Lifshitz equation; algebraic equations of coverings; analytic technique; arbitrary finite; commutative condition; complete anisotropy; hyperelliptic surface; matrix boundary Riemann problem; nonAbelian version; permutation matrix coefficient; soliton theory; spectral parameter; vector boundary Riemann problem; vector field function; Boundary conditions; Electromagnetics; Equations; Magnetic analysis; Solitons; Telecommunications; Vectors; Landau-Lifshitz equation; algebraic equations of coverings; hyperelliptic surface; vector field function;

fLanguage

English

Publisher

ieee

Conference_Titel

Mathematical Methods in Electromagnetic Theory (MMET), 2014 International Conference on

Conference_Location

Dnipropetrovsk

Print_ISBN

978-1-4799-6863-3

Type

conf

DOI

10.1109/MMET.2014.6928736

Filename

6928736