广西科学
廣西科學
엄서과학
GUANGXI SCIENCES
2008年
3期
238-243
,共6页
广义水波方程组%孤立波%扭结波%反扭结波
廣義水波方程組%孤立波%扭結波%反扭結波
엄의수파방정조%고립파%뉴결파%반뉴결파
generalized water wave equations%solitary wave%kink wave%anti-kink wave
应用动力系统分支理论,研究广义水波方程组行波解的分支.在固定的参数条件下给出广义水波方程组的孤立波、扭结(反扭结)波解的精确表达式,并证明该方程组存在不可数无穷多个周期波解.
應用動力繫統分支理論,研究廣義水波方程組行波解的分支.在固定的參數條件下給齣廣義水波方程組的孤立波、扭結(反扭結)波解的精確錶達式,併證明該方程組存在不可數無窮多箇週期波解.
응용동력계통분지이론,연구엄의수파방정조행파해적분지.재고정적삼수조건하급출엄의수파방정조적고립파、뉴결(반뉴결)파해적정학표체식,병증명해방정조존재불가수무궁다개주기파해.
The bifurcation of travelling wave solutions for the generalized water wave equations are studied by using the bifurcation theory of planar dynamical systems.Under various parameter conditions,all exact explicit formulas of solitary wave solutions and kink(anti-kink) wave solutions and uncountable infinity many periodic wave solutions are listed.
