Surfaces of revolution associated with the kink-type solutions of the SIdV equation |
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| Institution: | 1. School of Mathematics and Statistics, Ningbo University, Ningbo, Zhejiang, 315211, PR China;2. Institute for Advanced Study, Shenzhen University, Shenzhen, Guangdong 518060, PR China;3. Horia Hulubei National Institute for Physics and Nuclear Engineering, P.O.B. MG-6, Magurele, RO 077125, Romania |
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| Abstract: | In this paper, we study the evolution scenarios of surfaces of revolution associated with the kink-type solutions of an integrable equation, which is called the SIdV equation because of its scale-invariant property and relationship with the Korteweg-de Vries equation, where the kink-type solutions play the role of a metric. We put forward two kinds of evolution scenarios for surfaces of revolution associated with two types of kink-type metric (solution) and we study the key properties of these surfaces. |
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| Keywords: | Surfaces of revolution SIdV equation Kink-type solution |
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