Some Stationary Solutions of Schrodinger Map Equation
Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 25, Issue 3
Abstract
In this paper, we construct a type of plane wave solution of Landau-Lifshitz equation with the model |u| = 1. In addition, we discover the law which when the spin vector u is moving along one direction, the spin vector u approaches the south pole (0; 0;−1) from the north pole (0; 0; 1) with the model |x| from 0 tend to ∞. Landau-Lifshitz equations describe an evolution of spin field in continuous ferromagnetic. Therefore, it is very significant to study the problems about magnetization movement. Many people studied a lot of problems and constructed many solutions about the Landau-Lifshitz equation, but no one to study the linear plane wave solution. So, in this paper, we construct some stationary solutions of Schrodinger Map equation which contains a style of plane wave solutions.
Authors and Affiliations
Yanting Zhou, Hui Yang, Ganshan Yang
Keywords
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- EP ID EP322588
- DOI 10.9734/JAMCS/2017/37475
- Views 87
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