Symmetry Group Analysis of a Fifth-Order KdV Equation with Variable Coefficients. Issue 4 (6th June 2016)

• Record Type: Journal Article
• Authors: de la Rosa, R.; Gandarias, M. L.; Bruzón, M. S.
• Is Part Of: Journal of computational and theoretical transport. Volume 45:Issue 4(2016)
• Page Start: 275
• Page End: 289
• Publication Date: 2016-06-06
• Subjects: partial differential equations -- conservation laws -- symmetries -- equivalence transformations; Transport theory -- Periodicals; Statistical physics -- Periodicals; Statistical physics; Transport theory; Periodicals; 530.138
• DOI: 10.1080/23324309.2016.1161649
• Languages: English
• ISSNs: 2332-4309

Abstract

ABSTRACT: Symmetry group analysis is carried out on a generalized fifth-order KdV (foKdV) equation involving many arbitrary functions. Equivalence transformations group has been determined. This allows us to perform a comprehensive study by reducing the equation to a subclass with fewer number of arbitrary elements. Furthermore, we have established the subclasses of the reduced equation which are nonlinearly self-adjoint. The property of nonlinearly self-adjointness is used to construct conserved vectors from the classical symmetries of the equation by using a general theorem on conservation laws. We also determine conservation laws by using the multipliers method.