Different Kinds of Singular and Nonsingular Exact Traveling Wave Solutions of the Kudryashov-Sinelshchikov Equation in the Special Parametric Conditions
2013 ◽
Vol 2013
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pp. 1-10
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Keyword(s):
In this paper, by using the integral bifurcation method, we studied the Kudryashov-Sinelshchikov equation. In the special parametric conditions, some singular and nonsingular exact traveling wave solutions, such as periodic cusp-wave solutions, periodic loop-wave solutions, smooth loop-soliton solutions, smooth solitary wave solutions, periodic double wave solutions, periodic compacton solutions, and nonsmooth peakon solutions are obtained. Further more, the dynamic behaviors of these exact traveling wave solutions are investigated. It is found that the waveforms of some traveling wave solutions vary with the changes of parameters.
2012 ◽
Vol 2012
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pp. 1-14
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2015 ◽
Vol 25
(10)
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pp. 1550136
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2003 ◽
Vol 14
(01)
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pp. 99-112
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2011 ◽
Vol 2011
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pp. 1-16
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Keyword(s):