Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 19, Issue 2, Pages 371-376Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2013.06.013
Keywords
Self-adjointness; Quasi self-adjointness; Weak self-adjointness; Nonlinear self-adjointness; Symmetries; Partial differential equations; Conservation laws
Categories
Funding
- Laboratory Group analysis of mathematical models in natural and engineering sciences
- [MOGRAN 15]
- [MTM2009-11875]
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In Ibragimov (2007) [13] a general theorem on conservation laws was proved. In Gandarias (2011) and Ibragimov (2011) [7,15] the concepts of self-adjoint and quasi self-adjoint equations were generalized and the definitions of weak self-adjoint equations and nonlinearly self-adjoint equations were introduced. In this paper, we find the subclasses of nonlinearly self-adjoint porous medium equations. By using the property of nonlinear self-adjointness, we construct some conservation laws associated with classical and non-classical generators of the differential equation. (c) 2013 Elsevier B.V. All rights reserved.
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