### Abstract

The classical Boussinesq equation η_{t} = - ((1+η)υ + 1/3υ_{xx})_{x}, υ_{t} = - (η + 1/2υ^{2})_{x}, has been found to have bounded periodic solutions in terms of Jacobin Cosine elliptic functions and solitary wave solutions of the form (A sech^{2} x)/(1 + B sech^{2} x).

Original language | English |
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Pages (from-to) | 2391-2392 |

Number of pages | 2 |

Journal | Journal of the Physical Society of Japan |

Volume | 51 |

Issue number | 8 |

Publication status | Published - Aug 1982 |

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

Krishnan, E. V. (1982). An exact solution of the classical Boussinesq equation.

*Journal of the Physical Society of Japan*,*51*(8), 2391-2392.