The Korteweg capillarity system. Integrable reduction via gauge and reciprocal links

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• 作者：Colin Rogers
• 刊名：ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift f蹲 Angewandte Mathematik und Mechanik
• 出版年：2016
• 出版时间：July 2016
• 年：2016
• 卷：96
• 期：7
• 页码：813-823
• 全文大小：175K
• ISSN：1521-4001

文摘

This classical Korteweg capillarity system is here encapsulated in a quintic derivative nonlinear Schrödinger equation for a model Kármán-Tsien type capillarity law. An integrable subsystem is isolated and invariants of motion are use to construct novel exact solutions. The latter involve parameters introduced via a gauge and reciprocal transformation.