Approximate Nonlinear Self-Adjointness and Approximate Conservation Laws of the Gardner Equation

Authors

  • Narges Pourrostami Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran ,Iran.
  • Mehdi Nadjafikhah School of Mathematics, Department of Pure Mathematics, Iran University of Science and Technology, Narmak-16, Tehran, Iran.

Keywords:

Gardner equation, KdV equation, Approximate nonlinear self-adjoint, Approximate conservation laws, Approximate symmetry

Abstract

In this paper, we prove that the Gardner equation with the small parameter is approximately nonlinear self-adjoint. This property is important for constructing approximate conservation laws associated with approximate symmetries. We utilize firstorder approximate symmetries for constructing approximate conservation laws.

Downloads

Download data is not yet available.

Downloads

Published

2017-04-30

Issue

Vol. 49 No. 1 (2017)

Section

Articles

How to Cite

Approximate Nonlinear Self-Adjointness and Approximate Conservation Laws of the Gardner Equation. (2017). Punjab University Journal of Mathematics, 49(1), 24-29. https://pujm.pu.edu.pk/index.php/pujm/article/view/81