The Korteweg capillarity system. Integrable reduction via gauge and reciprocal links. Issue 7 (26th October 2015)

• Record Type: Journal Article
• Authors: Rogers, Colin
• Is Part Of: Zeitschrift für angewandte Mathematik und Mechanik. Volume 96:Issue 7(2016)
• Page Start: 813
• Page End: 823
• Publication Date: 2015-10-26
• Subjects: Korteweg -- capillarity -- nonlinear Schrödinger -- gauge -- reciprocal; Mathematics -- Periodicals; Mechanics, Applied -- Periodicals; Engineering -- Periodicals; 519
• DOI: 10.1002/zamm.201500019
• Languages: English
• ISSNs: 0044-2267

Abstract

Abstract : 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. Abstract : 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.