Clarkson, Peter (2008) Rational Solutions Of The Boussinesq Equation. Analysis and Applications, 6 (4). pp. 349-369. ISSN 0219-5305. (doi:10.1142/S0219530508001250) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:13229)
| The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. | |
| Official URL: http://dx.doi.org/10.1142/S0219530508001250 |
Abstract
Rational solutions of the Boussinesq equation are expressed in terms of special polynomials associated with rational solutions of the second and fourth Painlevé equations, which arise as symmetry reductions of the Boussinesq equation. Further generalized rational solutions of the Boussinesq equation, which involve an infinite number of arbitrary constants, are derived. The generalized rational solutions are analogs of such solutions for the Korteweg–de Vries and nonlinear Schrödinger equations.
| Item Type: | Article |
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| DOI/Identification number: | 10.1142/S0219530508001250 |
| Subjects: | Q Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Depositing User: | Peter Clarkson |
| Date Deposited: | 17 Apr 2009 11:26 UTC |
| Last Modified: | 05 Nov 2024 09:46 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/13229 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Clarkson, Peter.
| Creator's ORCID: |
 https://orcid.org/0000-0002-8777-5284
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