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Title: A theory of nonlinear interfacial-internal wave propagation in three-layer density-stratified fluid systems with free upper boundary
Authors: Cui, Jifeng
Munjam, Shankar Rao
Chen, Xiaogang
Wen, Wenying
Zhang, Baole
Keywords: Nonlinear evolution equations(NEEs);Perturbation method;Three-layer density-stratified fluid systems;Free upper surface boundary;A unified theory
Issue Date: Nov-2018
Publisher: NISCAIR-CSIR, India
Abstract: Based on the small steepness parameter, three-layer density-stratified, incompressible, inviscid and irrotational fluid systems of arbitrary depth are discussed by using the perturbation method, and a unified theory of nonlinear interfacial-internal wave propagation and the approximate nonlinear evolution equations (NEEs) for interfacial-internal elevations are given on the basis of the free upper surface boundary and the flat impermeable bottom. Present study discuss the NEEs arising from various limiting cases of fluid depth. It is also noted that the theories obtained from the present work include the theoretical results derived by Matsuno Y(1993) as special cases.
Page(s): 2171-2181
ISSN: 0975-1033 (Online); 0379-5136 (Print)
Appears in Collections:IJMS Vol.47(11) [November 2018]

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