Rational Solutions to the Gardner Equation From Particular Polynomials

Author:

Gaillard Pierre1

Affiliation:

1. Institut de math´ematiques de Bourgogne, Universit´e de Bourgogne Franche Comt´e, 9 avenue Alain Savary BP 47870 21078 Dijon Cedex, France : FRANCE

Abstract

Rational solutions to the Gardner (G) equation are constructed in terms of a quotient of determinants involving certain particular polynomials. This gives a very efficient method to construct solutions to this equation. We construct very easily explicit expressions of these rational solutions for the first orders for n = 1 until 8.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

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