On a critical case of internal solitary waves in a two-layer fluid

J. W. Choi, M. C. Shen

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


This Brief Communication answers an unsettled question pointed out by Peters and Stoker [Commun. Pure Appl. Math 13, 115 (1960)] with regard to a critical case of a two-layer fluid flow with a free surface supported by a horizontal rigid bottom. In the critical case the coefficient of the nonlinear term in the Korteweg-deVries (KdV) equation vanishes and the KdV theory models only a parallel flow. By using higher-order asymptotic expansion, an extended and a modified KdV equation are derived and internal solitary waves and transition waves in the critical case are found.

Original languageEnglish
Pages (from-to)2804-2806
Number of pages3
JournalPhysics of Fluids
Issue number9
Publication statusPublished - 1997 Sept

ASJC Scopus subject areas

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes


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