RATIONAL SOLUTIONS OF THE BOUSSINESQ EQUATION-Reference-Cited by-同舟云学术

RATIONAL SOLUTIONS OF THE BOUSSINESQ EQUATION

Published:2008-10 Issue:04 Volume:06 Page:349-369
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

CLARKSON PETER A.¹

Affiliation:

1. Institute of Mathematics, Statistics and Actuarial Science, University of Kent, Canterbury, CT2 7NF, UK

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219530508001250

Reference96 articles.

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