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关于非线性浅水波理论中的孤立波解 被引量:2

On the Solitary Wave Solution of Nonlinear Shallow Water Equations
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摘要 本文在[1]的基础上,详尽地得到了Boussinesq方程和KdV方程的孤立波解,并对波高和波形进行了细致的分析。为了更好地比较,本文还给出了高阶摄动的孤立波解。 On the basis of reference [ 1 ], the solitary wave salutions of Boussinesq equation and KdV equation are obtained in detail. A detailed discussion on the profiles and the heights of the solitary waves is presentd, the solitary wave solution of higher approximation is given in the paper for comparison.
作者 忻孝康 许澄
出处 《水动力学研究与进展(A辑)》 CSCD 北大核心 1992年第1期13-19,共7页 Chinese Journal of Hydrodynamics
关键词 浅水波 孤立波 KDV方程 非线性 shallow water wave, solitary wave, Boussinesq equation, KdV equation.
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参考文献2

二级参考文献3

  • 1周清甫,应用数学和力学,1987年,8卷,1期,69页
  • 2忻孝康,力学学报,1986年,18卷,3期,1页
  • 3梅强中,水波动力学,1984年

同被引文献16

  • 1[美]梅强中,戴世强,周显初.水波动力学[M]科学出版社,1984.
  • 2林东.Beji型Boussinesq方程的孤立波解(英文)[J].海南师范学院学报(自然科学版).2004(04)
  • 3万德成,戴世强.孤立波与潜水台阶相互作用的数值研究[J].水动力学研究与进展(A辑).1998(01)
  • 4Chia-Shun Yih,Theodore Yao-tsu Wu.General solution for interaction of solitary waves including head-on collisions[J].Acta Mechanica Sinica.1995(3)
  • 5MASSELINK G,SHORT A. D.Field investigation of wave propagation over a bar and the consequent generation of secondary waves[].Coastal Engineering.1998
  • 6SéNéCHAL N,BONNETON P,and DUPUIS H.Field experiment on secondary wave generation on a barred beach and the consequent evolution of energy dissipation on the beach face[].Coastal Engineering.2002
  • 7BEJI S,BATTJES J. A.Experimental investigation of wave propagation over a bar[].Coastal Engineering.1993
  • 8BEJI S,BATTJES J. A.Numerical simulation of nonlinear wave propagation over a bar[].Coastal Engineering.1994
  • 9OHYAMA T,NADAOKA K.Transformation of non- linear wave train passing over submerged shelf without breaking[].Coastal Engineering.1994
  • 10OHYAMA T,WATARU K,and AKIHIDE T.Appli- cability of numerical models to nonlinear dispersive waves[].Coastal Engineering.1995

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