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  1. No Access

    Article

    Doubly periodic patterns of modulated hydrodynamic waves: Exact solutions of the Davey-Stewartson system

    Exact doubly periodic standing wave patterns of the Davey-Stewartson (DS) equations are derived in terms of rational expressions of elliptic functions. In fluid mechanics, DS equations govern the evolution of ...

    J. -H. Li, S. -Y. Lou, K. -W. Chow in Acta Mechanica Sinica (2011)

  2. No Access

    Article

    Nonlinear excitations and “peakons” of a (2+1)-dimensional generalized Broer-Kaup system

    Shallow water waves and a host of long wave phenomena are commonly investigated by various models of nonlinear evolution equations. Examples include the Korteweg–de Vries, the Camassa–Holm, and the Whitham–Bro...

    X. Y. Tang, K. W. Chow, S. Y. Lou in Acta Mechanica Sinica (2007)