Geometric integration of the Betchov–Da Rios equation in a gravity–electromagnetism unified model
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چکیده
In this paper we find out explicit solutions of the Betchov–Da Rios soliton equation in a principal circle bundle π : P → M on a surface M . If P is endowed with a generalized Kaluza–Klein metric ḡu, we show that the complete lift of any curve γ is a solution of the Betchov–Da Rios equation if and only if the function u restricted to γ is just the curvature of γ . Some interesting applications are given. © 2001 Elsevier Science B.V. All rights reserved. PACS: 02.40.Ky; 11.10.Kk; 67.40.Hf
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تاریخ انتشار 2001