Weiguo Rui
Yao Long
Bin He

Periodic wave solutions and solitary cusp wave solutions for a higher order wave equation of KdV type

The paper is published: Rostocker Mathematisches Kolloquium, Rostock. Math. Kolloq. 61, 57 - 71 (2006)

MSC: 37K40   Soliton theory, asymptotic behavior of solutions
  37K50   Bifurcation problems

Abstract:   This paper is the continuation of Ref. \cite{lon1}. Both the bifurcation theory of planar dynamical system and elliptic function integral method are applied to study a higher order wave equation of KdV type. And the parametric space is redivided when the integral constant $g\not=0$. Many explicit and implicit solutions of periodic wave and solitary cusp wave are obtained.

Keywords:   higher order wave equation of KdV type, solitary cusp wave solution, periodic wave solution, elliptic function integral method.
 
Notes:   This research was supported by Natural Science Foundation of Honghe University (XJZ10401) and the National Natural Science Foundation of China (10261008).

karin.martin@uni-rostock.de
Seite generiert am 05.10.2006,   19:52   Uhr