Zhu Yong. Strongly oblique Interactions between Internal Solitary Waves with the Same Mode[J]. Applied Mathematics and Mechanics, 1997, 18(10): 893-898.
Citation: Zhu Yong. Strongly oblique Interactions between Internal Solitary Waves with the Same Mode[J]. Applied Mathematics and Mechanics, 1997, 18(10): 893-898.

Strongly oblique Interactions between Internal Solitary Waves with the Same Mode

  • Received Date: 1996-01-08
  • Rev Recd Date: 1997-03-10
  • Publish Date: 1997-10-15
  • In this paper,by using the Lagrangian coordinates,the strongly oblique interactions between solitary waves with Ihe same mode in a Stratified fluid are discussed,which includes the shallow fluid case and deep.fluid case.It is.found that the interactions are described by the KP equation for the shallow fluid case,the two dimensional intermediate long wave equation(2D-LW equation) for the deep fluid case and the two-dimensional BO equation(2D-BO equation)for the infinite deep fluid case.
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  • [1]
    N.J.Zabusky and M.D.Kruskal,Interaction of "soliton" in a collisionless plasma andthe recurrence of initial states,Phys.Rev.Lett.,15(1965),240-243.
    [2]
    J.W.Miles,Obliquely interacting solitary waves,J.Fluid Mech.,79(1977),157-169.
    [3]
    J.W.Miles,Resonantly interacting solitary waves,J Fluid Mech.,79(1977),171-179.
    [4]
    R.Grimshaw and Y.Zhu,Oblique interactions of internal solitary waves,Sludies inApplied Mathematics,92(1994),249-270.
    [5]
    M.J.Ablowitz and H.Segur,Solitons and the Inverse Scattering Transform,SIAM Publishing,Philadelphia(1981).
    [6]
    M.J.Ablowitz and H.Segur,Long internal waves in f1uids of great depth,Studics inApplied Mathematics,62(1980),249-262.
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