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Published in:
2017 | OriginalPaper | Chapter
Geometric Approach to Domain Wall Solution
Author : Zhanat Kh. Zhunussova
Published in: Functional Analysis in Interdisciplinary Applications
Publisher: Springer International Publishing
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Abstract
Some generalizations of the Landau-Lifschitz equation are integrable, admit physically interesting exact solutions and these integrable equations are solvable by the inverse scattering method. Investigations of the integrable spin equations in (1+1)-, (2+1)-dimensions are topical both from the mathematical and physical points of view. Integrable equations admit different kinds of physically interesting equations as domain wall solutions. We consider an integrable spin equation. There is a corresponding Lax representation. Moreover the equation allows an infinite number of integrals of motion. We construct a surface corresponding to domain wall solution of the equation. Further, we investigate some geometrical features of the surface.