Journal
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Volume 37, Issue 3, Pages 1733-1748Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcds.2017072
Keywords
Nonlinear self-adjointness; conservation law; global existence; blow-up
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Funding
- Zhejiang Provincial Natural Science Foundation of China [LY14A010029]
- National Natural Science Foundation of China [11101111]
- UTRGV College of Science seed grant
- UTRGV President's Endowed Professorship
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In this paper, we study conserved quantities, blow-up criterions, and global existence of solutions for a generalized CH equation. We investigate the classification of self-adjointness, conserved quantities for this equation from the viewpoint of Lie symmetry analysis. Then, based on these conserved quantities, blow-up criterions and global existence of solutions are presented.
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