IJPAM: Volume 100, No. 2 (2015)
HYPERBOLIC SCHRÖDINGER MAP HEAT FLOW
Department of Mathematics
Guangdong University of Education
Guangzhou, 510640, P.R. CHINA
Abstract. Solution of Schrödinger map heat flow equation with applied field in 2-dimensional space is obtained. Two different methods are used to construct the norm exact solution. The solution admit a finite time singularity or a global smooth property.
Received: December 22, 2014
AMS Subject Classification: 35K10, 35K65, 35Q40, 35Q55
Key Words and Phrases: Schrödinger map, hyperbolic, singularity, smooth solution
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DOI: 10.12732/ijpam.v100i2.10 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 299 - 307