An Exact Solution of the Classical Boussinesq Equation

E. V. Krishnan

doi:10.1143/JPSJ.51.2391

An Exact Solution of the Classical Boussinesq Equation

E. V. Krishnan^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

38 Citations (Scopus)

Abstract

The classical Boussinesq equation η_t = - ((1+η)υ + 1/3υ_xx)_x, υ_t = - (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 language	English
Pages (from-to)	2391-2392
Number of pages	2
Journal	Journal of the Physical Society of Japan
Volume	51
Issue number	8
DOIs	https://doi.org/10.1143/JPSJ.51.2391
Publication status	Published - 1982
Externally published	Yes

ASJC Scopus subject areas

General Physics and Astronomy

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10.1143/JPSJ.51.2391

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title = "An Exact Solution of the Classical Boussinesq Equation",

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).",

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N2 - 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).

AB - 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).

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JO - Journal of the Physical Society of Japan

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An Exact Solution of the Classical Boussinesq Equation

Abstract

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