Exact solutions of a variable-coefficient KdV equation arising in a shallow water

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)1854-1858
Journal / PublicationJournal of the Physical Society of Japan
Volume68
Issue number6
Publication statusPublished - Jun 1999

Abstract

This paper studies a variable-coefficient KdV (vcKdV) equation arising in a shallow water. For a practically acceptable water bottom, we find that it can be transformed into the cylindrical KdV equation. As a result, several exact bounded solutions are obtained. One of the solutions has the shape of a solitary wave with a shelf behind, which confirms approximate analytical and numerical results in the literature.

Research Area(s)

  • Cylindrical KdV equation, Shallow-water waves, Variable-coefficient KdV equation