Minimal Surfaces Associated with Nonpolynomial Contact Symmetries
نویسنده
چکیده
Two infinite sequences of minimal surfaces in space are constructed using symmetry analysis. In particular, explicit formulas are obtained for the selfintersecting minimal surface that fills the trefoil knot. UDC 514.763.85, 517.972.6 Introduction. In this paper we consider the Euler–Lagrange minimal surface equation
منابع مشابه
Minimal Surfaces Associated with Nonpolynomial Contact Symmetry Flows
Two infinite sequences of minimal surfaces in space are constructed using symmetry analysis. In particular, explicit formulas are obtained for the selfintersecting minimal surface that fills the trefoil knot. Introduction. In this paper we consider the minimal surface equation EminΣ = { (1 + u2y) uxx − 2uxuyuxy + (1 + u 2 x) uyy = 0 } (1) whose solutions describe two-dimensional minimal surface...
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