Classification of all travelling-wave solutions for some nonlinear dispersive equations
2007 ◽
Vol 365
(1858)
◽
pp. 2291-2298
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Keyword(s):
We present a method for the classification of all weak travelling-wave solutions for some dispersive nonlinear wave equations. When applied to the Camassa–Holm or the Degasperis–Procesi equation, the approach shows the existence of not only smooth, peaked and cusped travelling-wave solutions, but also more exotic solutions with fractal-like wave profiles.
2004 ◽
Vol 59
(7-8)
◽
pp. 389-396
◽
2015 ◽
Vol 70
(11)
◽
pp. 969-974
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Keyword(s):
2013 ◽
Vol 18
(1)
◽
pp. 163-172
◽
2005 ◽
Vol 26
(7)
◽
pp. 838-847
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Keyword(s):