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
Related Articles
- EP ID EP322588
- DOI 10.9734/JAMCS/2017/37475
- Views 91
- Downloads 0
Modeling and Simulation of the Population Dynamics of Biomphalaria tenagophila, Snails in Tres Palmeras, Salta, Argentina
Aims/ objectives: We have analyzed the parasitic infections, and the population dynamics of Biomphalaria tenagophila snails. The population under study lives in water bodies formed by tributaries of the river Arias in th...
The Boundedness of High Order Riesz-Bessel Transforms via Atomic-molecular Characterization on Weighted Hp △ ;! Spaces
Let 0 < p ≤ 1 and w in the Muckenhoupt class Ap,ν . In this paper, we will characterize the weighted Hardy spaces in the setting of the Laplace-Bessel differential operators by means of the high order Riesz-Bessel transf...
Hellinger Distance Between Generalized Normal Distributions
A relative measure of informational distance between two distributions is introduced in this paper. For this purpose the Hellinger distance is used as it obeys to the definition of a distance metric and, thus, provides a...
The Gamma Function and Its Analytical Applications
This paper explores the history and properties of the Gamma function with some analytical applications. Specifically, the Gamma function is employed to prove the legitimacy of the Standard Normal Distribution and for eva...
Generation of Checkered Patterns and Their Variations by Making Use of Eulerian Graph Features
A variety of pictures of checkered pattern graphics appear on the Internet. However, rarely seen is how those graphics were produced. This paper shows various checkered patterns and their variations generated automatical...