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.