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- Title
SOME TRAVELING WAVE SOLITONS OF THE GREEN-NAGHDI SYSTEM.
- Authors
DENG, SHENGFU; GUO, BOLING; WANG, TINGCHUN
- Abstract
The traveling wave solutions for an equivalent system of the Green-Naghdi system are considered. The qualitative analysis methods of planar autonomous systems yield their phase portraits. The exact expressions of smooth soliton wave solutions, cusp soliton wave solutions, smooth periodic wave solutions and periodic cusp wave solutions are obtained. Some numerical simulations of these solutions are also given. These reveal some new properties of the Green-Naghdi system.
- Subjects
NUMERICAL solutions to wave equations; QUALITATIVE research; SMOOTHING (Numerical analysis); SOLITONS; CUSP forms (Mathematics); PERIODIC functions; NUMERICAL analysis; SIMULATION methods &; models
- Publication
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2011, Vol 21, Issue 2, p575
- ISSN
0218-1274
- Publication type
Article
- DOI
10.1142/S0218127411028623