Some two-dimensional and non-travelling-wave observable effects of the shallow-water waves

Yi Tian Gao; Bo Tian

doi:10.1016/S0375-9601(02)00961-1

Some two-dimensional and non-travelling-wave observable effects of the shallow-water waves

Yi Tian Gao
, Bo Tian^*

^*Corresponding author for this work

School of Aeronautic Science and Engineering

China Center of Advanced Science and Technology World Laboratory
Beijing University of Posts and Telecommunications
Beihang University

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

To help the understanding of the shallow-water waves, we in this Letter investigate the nearly concentric Korteweg-de Vries equation with computerized symbolic computation, so as to find an auto-Bäcklund transformation and some exact solitonic solutions. We then predict several new non-travelling-wave two-dimensional observable effects that the future fluid experiments might discover. We believe that the combined two-dimensional observations on those features together be more effective or determinant. The "seed" solutions for the auto-Bäcklund transformation have been found, e.g., via the Wu method.

Original language	English
Pages (from-to)	74-82
Number of pages	9
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	301
Issue number	1-2
DOIs	https://doi.org/10.1016/S0375-9601(02)00961-1
State	Published - 19 Aug 2002

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AB - To help the understanding of the shallow-water waves, we in this Letter investigate the nearly concentric Korteweg-de Vries equation with computerized symbolic computation, so as to find an auto-Bäcklund transformation and some exact solitonic solutions. We then predict several new non-travelling-wave two-dimensional observable effects that the future fluid experiments might discover. We believe that the combined two-dimensional observations on those features together be more effective or determinant. The "seed" solutions for the auto-Bäcklund transformation have been found, e.g., via the Wu method.

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Some two-dimensional and non-travelling-wave observable effects of the shallow-water waves

Abstract

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