Affiliation:
1. Hangzhou Normal University
2. NECMETTIN ERBAKAN UNIVERSITY
Abstract
In the present paper, we investigate differential geometric properties the soliton surface M associated with the Betchow-Da Rios Equation. Then, we give derivative formulas of Frenet frame of unit speed curve Φ=Φ(s,t) for all t. Also, we discuss the linear map of Weingarten type in the tangent space of the surface that generates two invariants: k and h. Moreover, we obtain the necessary and sufficient conditions for the soliton surface associated with the Betchow-Da Rios Equation to be minimal surfaces. Finally, we examine an soliton surface associated with the Betchow-Da Rios Equation as an application.
Subject
Geometry and Topology,Statistics and Probability,Algebra and Number Theory,Analysis
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