LOCALIZED COHERENT STRUCTURES OF THE (2+1)-DIMENSIONAL HIGHER ORDER BROER-KAUP EQUATIONS

Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (5): 549-556.

LOCALIZED COHERENT STRUCTURES OF THE (2+1)-DIMENSIONAL HIGHER ORDER BROER-KAUP EQUATIONS

张解放, 刘宇陆

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China

收稿日期:2001-07-03 修回日期:2001-11-28 出版日期:2002-05-18 发布日期:2002-05-18
基金资助:
the National Natural Science Foundation of China(19872043) Biographies:ZHANG Jie-fang(1959-),Professor;

LOCALIZED COHERENT STRUCTURES OF THE (2+1)-DIMENSIONAL HIGHER ORDER BROER-KAUP EQUATIONS

ZHANG Jie-fang, LIU Yu-lu

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China

Received:2001-07-03 Revised:2001-11-28 Online:2002-05-18 Published:2002-05-18
Supported by:
the National Natural Science Foundation of China(19872043) Biographies:ZHANG Jie-fang(1959-),Professor;

摘要/Abstract

摘要： By using the extended homogeneous balance method, the localized coherent structures are studied. A nonlinear transformation was first established, and then the linearization form was obtained based on the extended homogeneous balance method for the higher order (2+1)-dimensional Broer-Kaup equations. Starting from this linearization form equation, a variable separation solution with the entrance of some arbitrary functions and some arbitrary parameters was constructed. The quite rich localized coherent structures were revealed. This method, which can be generalized to other (2+1)-dimensional nonlinear evolution equation, is simple and powerful.

Abstract: By using the extended homogeneous balance method, the localized coherent structures are studied. A nonlinear transformation was first established, and then the linearization form was obtained based on the extended homogeneous balance method for the higher order (2+1)-dimensional Broer-Kaup equations. Starting from this linearization form equation, a variable separation solution with the entrance of some arbitrary functions and some arbitrary parameters was constructed. The quite rich localized coherent structures were revealed. This method, which can be generalized to other (2+1)-dimensional nonlinear evolution equation, is simple and powerful.

中图分类号:

O175.29

张解放;刘宇陆. LOCALIZED COHERENT STRUCTURES OF THE (2+1)-DIMENSIONAL HIGHER ORDER BROER-KAUP EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(5): 549-556.

ZHANG Jie-fang;LIU Yu-lu . LOCALIZED COHERENT STRUCTURES OF THE (2+1)-DIMENSIONAL HIGHER ORDER BROER-KAUP EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(5): 549-556.

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LOCALIZED COHERENT STRUCTURES OF THE (2+1)-DIMENSIONAL HIGHER ORDER BROER-KAUP EQUATIONS

LOCALIZED COHERENT STRUCTURES OF THE (2+1)-DIMENSIONAL HIGHER ORDER BROER-KAUP EQUATIONS

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