ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

$2N$ Parameter Solutions to the Burgers' Equation

Journal of Applied Nonlinear Dynamics 11(1) (2022) 69--74 | DOI:10.5890/JAND.2022.03.005

Pierre Gaillard

Institut de math\'ematiques de Bourgogne, 9 avenue Alain Savary BP 47870 21078, Dijon Cedex, Dijon, France

Abstract

We construct $2N$ real parameter solutions to the Burgers' equation in terms of determinant of order $N$ and we call these solutions, $N$ order solutions. We deduce general expressions of these solutions in terms of exponentials and study the patterns of these solutions in functions of the parameters for $N=1$ until $N=4$.

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