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.

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

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