An exact solution of the classical Boussinesq equation

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Abstract

The classical Boussinesq equation ηt = - ((1+η)υ + 1/3υxx)x, υt = - (η + 1/2υ2)x, has been found to have bounded periodic solutions in terms of Jacobin Cosine elliptic functions and solitary wave solutions of the form (A sech2 x)/(1 + B sech2 x).

Original languageEnglish
Pages (from-to)2391-2392
Number of pages2
JournalJournal of the Physical Society of Japan
Volume51
Issue number8
Publication statusPublished - Aug 1982

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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