Exact Solutions of （2＋1）-Dimensional Euler Equation Found by Weak Darboux Transformation 被引量：3

Exact Solutions of （2＋1）-Dimensional Euler Equation Found by Weak Darboux Transformation

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摘要 The weak Darboux transformation of the （2＋1） dimensional Euler equation is used to find its exact solutions. Starting from a constant velocity field solution, a set of quite general periodic wave solutions such as the Rossby waves can be simply obtained from the weak Darboux transformation with zero spectral parameters. The constant vorticity seed solution is utilized to generate Bessel waves. The weak Darboux transformation of the （2＋1） dimensional Euler equation is used to find its exact solutions. Starting from a constant velocity field solution, a set of quite general periodic wave solutions such as the Rossby waves can be simply obtained from the weak Darboux transformation with zero spectral parameters. The constant vorticity seed solution is utilized to generate Bessel waves.

作者楼森岳李翊神

机构地区 Center of Nonlinear Science Department of Physics Department of Mathematics

出处《Chinese Physics Letters》 SCIE CAS CSCD 2006年第10期2633-2636,共4页 中国物理快报（英文版）

基金 Supported by the National Natural Science Foundation of China under Grant Nos 90203001, 10475055 and 90503006.

关键词 NAVIER-STOKES DYNAMICS FLUID NAVIER-STOKES DYNAMICS FLUID

分类号 O41 [理学—理论物理]

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引证文献3

1靳鲲鹏.二维Quasi-Geostrophic方程的新的LAX对及其Darboux变换[J].兰州大学学报（自然科学版）,2010,46(S1):166-168.
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Chinese Physics Letters

2006年第10期

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Exact Solutions of （2＋1）-Dimensional Euler Equation Found by Weak Darboux Transformation 被引量：3

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