Algebraic solutions of the Hirota bilinear form for the Korteweg-de Vries and Boussinesq equations

K. Krishnakumar (), K. M. Tamizhmani () and P. G. L. Leach ()
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K. Krishnakumar: Pondicherry University
K. M. Tamizhmani: Pondicherry University
P. G. L. Leach: University of KwaZulu-Natal

Indian Journal of Pure and Applied Mathematics, 2015, vol. 46, issue 5, 739-756

Abstract: Abstract We reduce the order of the fourth-order Hirota-bilinear equations of the Korteweg-de Vries and Boussinesq equations by using symmetries and then apply singularity analysis to the resultant ordinary differential equations. We employ all the possible combinations of symmetries to reduce the order of the equations.

Keywords: Singularity analysis; symmetry analysis; Hirota bilinear forms; Korteweg-de Vries equation; Boussinesq equation (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s13226-015-0135-6

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