Self-adjointness and conservation laws for a new integrable

Authors:
Maria Luz Gandarias;Maria Santos Bruzoón
Affiliations:
University of Cádiz, Department of Mathematics, Cádiz, Spain;University of Cádiz, Department of Mathematics, Cádiz, Spain
Venue:
AMERICAN-MATH'12/CEA'12 Proceedings of the 6th WSEAS international conference on Computer Engineering and Applications, and Proceedings of the 2012 American conference on Applied Mathematics
Year:
2012

Citing 3
Cited 0

On a class of nonlinear dispersive-dissipative interactions

Physica D - Special issue on nonlinear waves and solitons in physical systems
New solutions for a generalized Benjamin-Bona-Mahony-Burgers equation

MATH'08 Proceedings of the American Conference on Applied Mathematics
Exact solutions through symmetry reductions for a new integrable equation

WSEAS Transactions on Mathematics

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this work we study a generalization of an integrable equation proposed by Qiao and Liu from the point of view of the theory of symmetry group transformations in partial differential equations. We determine the subclass of these equations which are quasi-self-adjoint. By using a general theorem on conservation laws proved by Nail Ibragimov we find conservation laws for some of these partial differential equations without classical Lagrangians.