Two-Dimensional Algebraic Solitary Wave and Its Vertical Structure in Stratified Fluid

SU Xiao-bing; WEI Gang; DAI Shi-qiang

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Article Navigation > Applied Mathematics and Mechanics > 2005 > 26(10): 1143-1151

SU Xiao-bing, WEI Gang, DAI Shi-qiang. Two-Dimensional Algebraic Solitary Wave and Its Vertical Structure in Stratified Fluid[J]. Applied Mathematics and Mechanics, 2005, 26(10): 1143-1151.

Citation:

SU Xiao-bing, WEI Gang, DAI Shi-qiang. Two-Dimensional Algebraic Solitary Wave and Its Vertical Structure in Stratified Fluid[J]. Applied Mathematics and Mechanics, 2005, 26(10): 1143-1151.

Citation:

SU Xiao-bing, WEI Gang, DAI Shi-qiang. Two-Dimensional Algebraic Solitary Wave and Its Vertical Structure in Stratified Fluid[J]. Applied Mathematics and Mechanics, 2005, 26(10): 1143-1151.

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Two-Dimensional Algebraic Solitary Wave and Its Vertical Structure in Stratified Fluid

1.
School of Naval Architecture and Ocean Engineering, Shanghai Jiaotong University, Shanghai 200030, P. R. China;

Received Date: 2004-03-25
Rev Recd Date: 2005-05-15
Publish Date: 2005-10-15

Abstract

Abstract

The algebraic solitary wave and its associated eigenvalue problem in a deep stratified fluid with a free surface and a shallow upper layer were studied. And its vertical structure was examined. An exact solution for the derived 2D Benjamin-no equation was obtained, and physical explanation was given with the corresponding dispersion relation. As a special case, the vertical structure of the weakly nonlinear internal wave for the Holmboe density distribution was numerically investigated, and the propagating mechanism of the internal wave was studied by using the ray theory.
- two-dimensional Benjamin-Ono equation,
- stratified fluid,
- eigenvalue,
- vertical structure

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References(19)

References

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