SIMILARITY REDUCTIONS OF THE (2+1)-DIMENSIONAL BURGERS SYSTEM

doi:10.1088/1009-1963/10/8/302

中国物理B ›› 2001, Vol. 10 ›› Issue (8): 683-688.doi: 10.1088/1009-1963/10/8/302

SIMILARITY REDUCTIONS OF THE (2+1)-DIMENSIONAL BURGERS SYSTEM

刘当波, 储开芹

Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China

收稿日期:2000-05-14 修回日期:2001-04-15 出版日期:2005-06-12 发布日期:2005-06-12
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 19573005 and 19573008), and the National Pandeng Plan of China

SIMILARITY REDUCTIONS OF THE (2+1)-DIMENSIONAL BURGERS SYSTEM

Liu Dang-bo (刘当波), Chu Kai-qin (储开芹)

Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China

Received:2000-05-14 Revised:2001-04-15 Online:2005-06-12 Published:2005-06-12
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 19573005 and 19573008), and the National Pandeng Plan of China

摘要/Abstract

摘要： In this paper, using the direct method of the (2+1)-dimensional multi-component Burgers system, some types of similarity reductions are obtained. The corresponding group explanations of the reductions, Virasoro integrability and soliton solutions of Burgers system are also discussed.

Abstract: In this paper, using the direct method of the (2+1)-dimensional multi-component Burgers system, some types of similarity reductions are obtained. The corresponding group explanations of the reductions, Virasoro integrability and soliton solutions of Burgers system are also discussed.

Key words: Burgers system, similarity reduction, direct method, group explanation

中图分类号: (Measure and integration)

02.30.Cj

02.20.Sv (Lie algebras of Lie groups) 02.30.Jr (Partial differential equations)

刘当波, 储开芹. SIMILARITY REDUCTIONS OF THE (2+1)-DIMENSIONAL BURGERS SYSTEM[J]. 中国物理B, 2001, 10(8): 683-688.

Liu Dang-bo (刘当波), Chu Kai-qin (储开芹). SIMILARITY REDUCTIONS OF THE (2+1)-DIMENSIONAL BURGERS SYSTEM[J]. Chinese Physics, 2001, 10(8): 683-688.

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SIMILARITY REDUCTIONS OF THE (2+1)-DIMENSIONAL BURGERS SYSTEM

SIMILARITY REDUCTIONS OF THE (2+1)-DIMENSIONAL BURGERS SYSTEM

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