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

• Articles • Previous Articles     Next Articles

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

ZHANG Jie-fang, LIU Yu-lu   

  1. 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;

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.

2010 MSC Number: 

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