Pierre Gaillard, "Rational Solutions to the Burgers' Equation From Particular Polynomials," WSEAS Transactions on Mathematics, vol. 22, pp. 867-874, 2023, DOI:10.37394/23206.2023.22.94
Pierre Gaillard. Rational Solutions to the Burgers' Equation From Particular Polynomials.
WSEAS Transactions on Mathematics. 2023;22:867-874. 10.37394/23206.2023.22.94
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 22, 2023
Rational Solutions to the Burgers' Equation From Particular Polynomials
Author:
Abstract: From particular polynomials, we construct rational solutions to the Burgers' equation as a quotient of a
polynomial of degree $$ n-1 $$ in $$ x $$ and $$ n-1-|\frac{n}{2}| $$ in $$ t $$, by a polynomial of degree $$ n $$ in $$ x $$ and $$ |\frac{n}{2}| $$ in $$ t $$, $$ n $$ eing the
greater integer less or equal to $$ n $$. We call these solutions, solutions of order $$ n $$. We construct explicitly these solutions for orders 1 until 20.
Pages: 867-874 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 22, 2023, Art. #94 DOI: 10.37394/23206.2023.22.94
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