Clarkson, P.A. (2009) Rational solutions of the classical Boussinesq system. Nonlinear Analysis: Real World Applications, 10 (6 Special Issue SI). pp. 3360-3371. ISSN 1468-1218.
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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: | 13 Mar 2012 10:04 |
| Resource URI: | http://kar.kent.ac.uk/id/eprint/23089 (The current URI for this page, for reference purposes) |
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