SOME TRAVELING WAVE SOLITONS OF THE GREEN–NAGHDI SYSTEM
2011 ◽
Vol 21
(02)
◽
pp. 575-585
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Keyword(s):
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.
2013 ◽
Vol 23
(05)
◽
pp. 1350087
◽
2016 ◽
Vol 26
(10)
◽
pp. 1650175
2017 ◽
Vol 27
(07)
◽
pp. 1750114
◽
Keyword(s):
2014 ◽
Vol 24
(03)
◽
pp. 1450037
◽
2012 ◽
Vol 22
(12)
◽
pp. 1250305
◽
2010 ◽
Vol 24
(10)
◽
pp. 1011-1021
◽
2020 ◽
Vol 30
(07)
◽
pp. 2050109
2012 ◽
Vol 2012
◽
pp. 1-14
◽