Localized Coherent Structures of the(2+1)-Dimensional Higher Order Broer-Kaup Equations

ZHANG Jie-fang; LIU Yu-lu

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Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(5): 489-496

ZHANG Jie-fang, LIU Yu-lu. Localized Coherent Structures of the(2+1)-Dimensional Higher Order Broer-Kaup Equations[J]. Applied Mathematics and Mechanics, 2002, 23(5): 489-496.

Citation:

ZHANG Jie-fang, LIU Yu-lu. Localized Coherent Structures of the(2+1)-Dimensional Higher Order Broer-Kaup Equations[J]. Applied Mathematics and Mechanics, 2002, 23(5): 489-496.

Citation:

ZHANG Jie-fang, LIU Yu-lu. Localized Coherent Structures of the(2+1)-Dimensional Higher Order Broer-Kaup Equations[J]. Applied Mathematics and Mechanics, 2002, 23(5): 489-496.

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Localized Coherent Structures of the(2+1)-Dimensional Higher Order Broer-Kaup Equations

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

Received Date: 2001-07-03
Rev Recd Date: 2001-11-28
Publish Date: 2002-05-15

Abstract

Abstract

By using the extended homogeneous balance method,the localized cohernet 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.
- higher order Broer-Kaup equation,
- (2+1)-dimension,
- coherent structure,
- homogeneous balance method,

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References(22)

References

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