中国物理B ›› 2000, Vol. 9 ›› Issue (3): 161-165.doi: 10.1088/1009-1963/9/3/001

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SOME NEW AND EXACT EXPLICIT SOLUTIONS OF THE HIGHER ORDER BROER-KAUP EQUATIONS

白成林1, 徐炳振1, 白成杰2   

  1. (1)Department of Communication Engineering, Liaocheng Teachers' College, Liaocheng 252059, China; (2)Propagate College of Shandong Normal University, Jinan 250014, China
  • 收稿日期:1999-07-02 修回日期:1999-09-07 出版日期:2000-03-15 发布日期:2000-03-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 69577009) and Natural Science Foundation of Shandong (Grant No. Q99G11).

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   

  1. a Department of Communication Engineering, Liaocheng Teachers' College, Liaocheng 252059, China; b Propagate College of Shandong Normal University, Jinan 250014, China
  • Received:1999-07-02 Revised:1999-09-07 Online:2000-03-15 Published:2000-03-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 69577009) and Natural Science Foundation of Shandong (Grant No. Q99G11).

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摘要： 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.

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.

中图分类号:  (Ordinary and partial differential equations; boundary value problems)

  • 02.60.Lj
05.45.Yv (Solitons)