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- Title
TRAVELING WAVE SOLUTIONS OF THE GREEN-NAGHDI SYSTEM.
- Authors
DENG, SHENGFU; GUO, BOLING; WANG, TINGCHUN
- Abstract
We investigate the traveling wave solutions of the Green-Naghdi system. Using the qualitative analysis methods of planar autonomous systems, we show not only its phase portraits but also the exact expressions of some bounded wave solutions. These results are a complement of the work by Deng et al. [2011], which studied the traveling wave solutions of its equivalent system under some conditions.
- Subjects
TRAVELING waves (Physics); QUALITATIVE research; AUTONOMOUS differential equations; MATHEMATICAL bounds; GREEN'S functions; MATHEMATICAL analysis; SYSTEMS theory
- Publication
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2013, Vol 23, Issue 5, p-1
- ISSN
0218-1274
- Publication type
Article
- DOI
10.1142/S0218127413500879