数学杂志
數學雜誌
수학잡지
JOURNAL OF MATHEMATICS
2009年
1期
27-36
,共10页
周期行波解%无界行波解%破切波解%广义特殊Tzitzeica-Dodd-Bullough类型
週期行波解%無界行波解%破切波解%廣義特殊Tzitzeica-Dodd-Bullough類型
주기행파해%무계행파해%파절파해%엄의특수Tzitzeica-Dodd-Bullough류형
unbounded travelling wave solution%periodic travelling wave solution%breaking wave solutions%the generalized special Tzitzeica-Dodd-Bullough equation
本文研究了广义特殊Tzitzeica-Dodd-Bullough类型方程,利用动力系统分支理论方法,证明该方程存在周期行波解,无界行波解和破切波解,并求出了一些用参数表示的显示精确行波解.
本文研究瞭廣義特殊Tzitzeica-Dodd-Bullough類型方程,利用動力繫統分支理論方法,證明該方程存在週期行波解,無界行波解和破切波解,併求齣瞭一些用參數錶示的顯示精確行波解.
본문연구료엄의특수Tzitzeica-Dodd-Bullough류형방정,이용동력계통분지이론방법,증명해방정존재주기행파해,무계행파해화파절파해,병구출료일사용삼수표시적현시정학행파해.
In this paper, we study the generalized special Tzitzeica-Dodd-Bullough equations and prove the existence of periodic travelling waves, unbounded travelling wave solutions, obtain some exact explicit parametric representations of the above travelling wave solutions, using the method of bifurcation theory of dynamical systems.
