1) kink and anti-kink wave solution
扭结和反扭结波解
1.
By using the bifurcation theory of dynamical systems to third-order nonlinear Schrdinger equation,the smooth solitary wave solutions,kink and anti-kink wave solutions and periodic wave solutions are obtained.
证明了该方程存在光滑孤立波解、扭结和反扭结波解和光滑周期波解。
2) Kink and anti-kink wave
扭结波和反扭结波
3) kink wave solution
扭结波解
1.
By the homogeneous balance method,we obtain a series of exact wave solutions for the real quintic Swift-Hohenberg(RQSH) equation,including solitary wave solutions,kink wave solutions,periodic wave solutions,and singular kink wave solutions.
通过应用齐次平衡法,取得了实五次Swift-Hohenberg(RQSH)方程的一系列新的精确波解,这些解包括孤立波解、扭结波解、三角周期波解、奇异扭结波解等。
2.
The existence of smooth solitary wave solutions,kink and antikink wave solutions and periodic wave solutions are proved.
运用平面动力系统理论、分支理论和直接方法研究浅水长波近似方程,证明该方程存在光滑孤立波解、扭结波解、反扭结波解及无穷多光滑周期波解。
4) anti-kink wave
反扭结波
5) Kink-antikink Soliton
扭结-反扭结孤立波
6) anti-kink wave solution
反扭波解
1.
Exact explicit parametric representations of kink and anti-kink wave solutions,periodic wave solutions and uncountably infinite many smooth solitary wave solutions are given.
Wadati提出的一类可积非线性发展方程的精确行波解,获得了该方程的扭波、反扭波解,周期波解和不可数无穷多光滑孤立波解的精确的参数表达式,以及上述解存在的参数条件。
2.
By using the theory of bifurcations of dynamical systems to a system of coupled nonlinear equations,kinkwave solutions and anti-kink wave solutions are obtained.
应用动力系统分支理论对一类耦合非线性微分方程进行研究,给出在各种参数条件下系统的相图分支及可能存在的孤立行波解、扭波解、反扭波解的精确公式。
补充资料：扭结
1.揪住厮打;扭在一起。 2.纠缠;缠绕。 3.谓书法中字的笔划结构过于紧密。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条