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

    2 Citations (Scopus)

    Abstract

    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
    Volume9
    Issue number9
    DOIs
    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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