Analytical solutions of Skyrme model

Ruifeng  Zhang; Nan  Liu; Man  An

doi:10.3934/dcdss.2016092

Article Contents

2016, Volume 9, Issue 6: 2201-2211. Doi: 10.3934/dcdss.2016092

This issue Previous Article Decay estimates with sharp rates of global solutions of nonlinear systems of fluid dynamics equations Next Article

Analytical solutions of Skyrme model

1.
Institute of Contemporary Mathematics, College of Mathematics and Statistics, Henan University, Kaifeng 475001
2.
College of Mathematics and Statistics, Henan University, Kaifeng 475004
3.
Hualuogeng Class, School of Mathematics and System Sciences, Beihang University, Beijing 100191

Received: June 30, 2015

Revised: August 31, 2016

Published: November 2016

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Abstract

Exact analytic solutions of the kink soliton equation obtained in a recent interesting study of the classical Skyrme model defined on a simple spherically symmetric background are presented. By a variational method, the existence of spherically symmetric monopole solutions are proved. In particular, all finite-energy kink solitons must be Bogomool'nyi--Prasad--Sommerfield are showed. Moreover, together with numerical analysis, we can clearly see the validity of our theoretical results.

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Mathematics Subject Classification: Primary: 35J20, 35J25; Secondary: 46T20.

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