Standing-Wave Solitons on an Interface between Layered Fluids in a Channel

• Sasaki Kazuo

  Department of Engineering Science, Faculty of Engineering, Tohoku University

Bibliographic Information

Other Title

• Standing Wave Solitons on an Interface

Abstract

It is shown theoretically that non-propagating solitons can be excited on an interface between two inviscid, incompressible, immiscible fluids in a channel in a gravitational field. Interfacial waves of small amplitudes which have nodes in the transverse direction and weak spatial dependence in the longitudinal direction turn out to be described by the nonlinear Schrödinger equation with an extra term, which has a functional coefficient, arising from the mass conservation. Excitation of solitons by a vertical or a horizontal oscillation of the channel is also studied.

Journal

• Journal of the Physical Society of Japan

  Journal of the Physical Society of Japan 62 (8), 2675-2684, 1993

  THE PHYSICAL SOCIETY OF JAPAN

Keywords

• soliton
• nonlinear Schrödinger equation
• incompressible fluid
• interfacial wave

Details

• CRID: 1390001204178878208
• NII Article ID: 210000097527
• NII Article ID: 110001977370
• NII Article ID: 130003902088
• NII Book ID: AA00704814
• DOI: 10.1143/jpsj.62.2675
• BIBCODE: 1993JPSJ...62.2675S
• COI: 1:CAS:528:DyaK3sXmsl2nur0%3D
• ISSN: 13474073
• ISSN: 00319015
• NDL BIB ID: 3834236
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I3834236
• Web Site: http://journals.jps.jp/doi/pdf/10.1143/JPSJ.62.2675
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed