Further Results on the Traveling Wave Solutions for an Integrable Equation

Further Results on the Traveling Wave Solutions for an Integrable Equation

The objective of this paper is to extend some results of pioneers for the nonlinear equation mt=(1/2)(1/mk)xxx−(1/2)(1/mk)x introduced by Qiao. The equivalent relationship of the traveling wave solutions between the integrable equation and the generalized KdV equation is revealed. Moreover, when k=−...

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Veröffentlicht in:Journal of Applied Mathematics 2013-01, Vol.2013 (2013), p.815-820-587
Hauptverfasser: Pan, Chaohong, Zhengrong, Liu
Format: Artikel
Sprache:eng
Schlagworte:
Bifurcations
Differential equations, Nonlinear
Differential equations, Partial
Dynamical systems
Equivalence
Integral equations
Mathematical analysis
Mathematical research
Nonlinear equations
Traveling waves
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Zusammenfassung:The objective of this paper is to extend some results of pioneers for the nonlinear equation mt=(1/2)(1/mk)xxx−(1/2)(1/mk)x introduced by Qiao. The equivalent relationship of the traveling wave solutions between the integrable equation and the generalized KdV equation is revealed. Moreover, when k=−(p/q)  (p≠q and p,q∈ℤ+), we obtain some explicit traveling wave solutions by the bifurcation method of dynamical systems.
ISSN:1110-757X
1687-0042
DOI:10.1155/2013/681383