Some Interesting Bifurcations of Nonlinear Waves for the Generalized Drinfel’d-Sokolov System
We study the bifurcations of nonlinear waves for the generalized Drinfel’d-Sokolov system ut+(vm)x=0,vt+a(vn)xxx+buxv+cuvx=0 called D(m,n) system. We reveal some interesting bifurcation phenomena as follows. (1) For D(2,1) system, the fractional solitary waves can be bifurcated from the trigonometri...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/189486 |
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| Summary: | We study the bifurcations of nonlinear waves for the generalized Drinfel’d-Sokolov system ut+(vm)x=0,vt+a(vn)xxx+buxv+cuvx=0 called D(m,n) system. We reveal some interesting bifurcation phenomena as follows. (1) For D(2,1) system, the fractional solitary waves can be bifurcated from the trigonometric periodic waves and the elliptic periodic waves, and the kink waves can be bifurcated from the solitary waves and the singular waves. (2) For D(1,2) system, the compactons can be bifurcated from the solitary waves, and the peakons can be bifurcated from the solitary waves and the singular cusp waves. (3) For D(2,2) system, the solitary waves can be bifurcated from the smooth periodic waves and the singular periodic waves. |
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| ISSN: | 1085-3375 1687-0409 |