SOME NEW AND EXACT EXPLICIT SOLUTIONS OF THE HIGHER ORDER BROER-KAUP EQUATIONS
Bai Cheng-lin (白成林)a, Bai Cheng-jie (白成杰)b, Xu Bing-zhen (徐炳振)a
a Department of Communication Engineering, Liaocheng Teachers' College, Liaocheng 252059, China; b Propagate College of Shandong Normal University, Jinan 250014, China
Abstract A simple solitary wave solution and infinitely many rational function solutions, especially the closed form of the solution for the initial value problem of the higher order Broer-Kaup (BK) systems in (1+1) and (2+1) dimensions, are obtained by using the extended homogeneous balance method.
Received: 02 July 1999
Revised: 07 September 1999
Accepted manuscript online:
PACS:
02.60.Lj
(Ordinary and partial differential equations; boundary value problems)
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 69577009) and Natural Science Foundation of Shandong (Grant No. Q99G11).
Cite this article:
Bai Cheng-lin (白成林), Bai Cheng-jie (白成杰), Xu Bing-zhen (徐炳振) SOME NEW AND EXACT EXPLICIT SOLUTIONS OF THE HIGHER ORDER BROER-KAUP EQUATIONS 2000 Chinese Physics 9 161
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