Rational solutions of the classical Boussinesq system

Clarkson, Peter (2009) Rational solutions of the classical Boussinesq system. Nonlinear Analysis: Real World Applications, 10 (6 Special Issue SI). pp. 3360-3371. ISSN 1468-1218. (The full text of this publication is not available from this repository)

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Official URL
http://dx.doi.org/10.1016/j.nonrwa.2008.09.019

Abstract

Rational solutions of the classical Boussinesq system are expressed in terms of special polynomials associated with rational solutions of the fourth Painlevé equation, which arises as a scaling reduction of the classical Boussinesq system. Generalized rational solutions of the classical Boussinesq system, which involve an infinite number of arbitrary constants, are also derived. The generalized rational solutions are analogues of such solutions for the Korteweg–de Vries, Boussinesq and nonlinear Schrödinger equations.

Item Type: Article
Additional information: Conference on Differential Equations, Continuum Mechanics and Applications Univ Cape Town, Cape Town, South Africa, Oct 31st -Nov 2nd, 2007
Uncontrolled keywords: Rational solutions; Classical Boussinesq system; Painleve equation
Subjects: Q Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: Peter A Clarkson
Date Deposited: 26 Oct 2009 15:30
Last Modified: 14 May 2014 13:56
Resource URI: http://kar.kent.ac.uk/id/eprint/23089 (The current URI for this page, for reference purposes)
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