Pierre Gaillard, "Rational Solutions to the Gardner Equation From Particular Polynomials," Equations, vol. 3, pp. 9-24, 2023, DOI:10.37394/232021.2023.3.2
Pierre Gaillard. Rational Solutions to the Gardner Equation From Particular Polynomials.
Equations. 2023;3:9-24. 10.37394/232021.2023.3.2
EQUATIONS
E-ISSN: 2944-9146 An Open Access International Journal of Mathematical and Computational Methods in Science and Engineering
Volume 3, 2023
Rational Solutions to the Gardner Equation From Particular Polynomials
Author:
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.
Pages: 9-24 DOI: 10.37394/232021.2023.3.2WSEAS Transactions on Equations, E-ISSN: 2944-9146, Volume 3, 2023, Art. #2
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