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Symmetry analysis, conserved quantities and applications to a dissipative DGH equation.
- Source :
-
Journal of Differential Equations . Mar2019, Vol. 266 Issue 6, p3189-3208. 20p. - Publication Year :
- 2019
-
Abstract
- Abstract In this paper, we study a weakly dissipative Dullin–Gottwald–Holm equation from the viewpoint of Lie symmetry analysis. We first perform symmetry analysis and the nonlinear self-adjointness of this equation. Due to a mixed derivatives term in the equation, we need to rewrite the corresponding form Lagrangian in symmetric form to construct conservation laws. From the viewpoint, we present a general procedure of how these conserved quantities come about. Based on these conserved quantities, blow-up analysis and global existence of strong solutions are presented. Finally, we show that this equation admits a weak peakon-type solution. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 266
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 134184170
- Full Text :
- https://doi.org/10.1016/j.jde.2018.08.055