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kink and anti-kink wave solutions    
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  扭子和反扭子波
    By using the theory of bifurcations of dynamical systems to a model of the helix polypeptide chains, the existence of solitary wave, kink and anti-kink wave solutions and uncountably infinite many smooth and non-smooth periodic wave solutions is obtained.
    利用动力系统的分支理论对一类多肽链模型进行研究,本文获得该模型存在光滑孤立波,扭子和反扭子波,不可数无穷多的周期波,光滑和不光滑周期解。
短句来源
  扭子和反扭子波
    By using the theory of bifurcations of dynamical systems to a model of the helix polypeptide chains, the existence of solitary wave, kink and anti-kink wave solutions and uncountably infinite many smooth and non-smooth periodic wave solutions is obtained.
    利用动力系统的分支理论对一类多肽链模型进行研究,本文获得该模型存在光滑孤立波,扭子和反扭子波,不可数无穷多的周期波,光滑和不光滑周期解。
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  kink and anti-kink wave solutions
In different regions of the parametric space, sufficient conditions to guarantee the existence of solitary wave solutions, periodic wave solutions, kink and anti-kink wave solutions are given.
      
Under two groups of the parametric conditions, more solitary wave solutions, kink and anti-kink wave solutions and periodic wave solutions are obtained.
      


In this paper,Drinfeld-Sokolov-Wilson equations are studied by using the bifurcation theory of planar dynamical systems.Under different parametric conditions,explicit formulas of solitary wave solutions,kink and anti-kink wave solutions and periodic wave solutions are given.

应用动力系统分支理论对一类D rinfeld-Sokolov-W ilson方程进行研究,在参数空间中给定的区域内获得了系统在各种参数条件下可能存在的孤立行波解、扭波解、反扭波解及不可数无穷多光滑周期行波解.

The theory of dynamical systems and the theory of bifurcation and the direct method are applied to the study of Davey-Stewartson equation(DS).When the integral constant is zero,the existence of smooth solitary wave solutions,uncountably infinite,many smooth periodic wave solutions,and kink and anti-kink wave solutions are proved.Some exact explicit parametric representations of travelling wave solutions of Davey-Stewartson equation are obtained.Under different parametric conditions,various...

The theory of dynamical systems and the theory of bifurcation and the direct method are applied to the study of Davey-Stewartson equation(DS).When the integral constant is zero,the existence of smooth solitary wave solutions,uncountably infinite,many smooth periodic wave solutions,and kink and anti-kink wave solutions are proved.Some exact explicit parametric representations of travelling wave solutions of Davey-Stewartson equation are obtained.Under different parametric conditions,various sufficient conditions to guarantee the existence of the above solutions are given.

用动力系统理论、分支理论和直接方法,研究了著名的D avey-S tew artson方程(DS)。在积分常数为零的条件下,证明了该方程存在光滑孤立波解、不可数无穷多光滑周期波解、扭结波和反扭结波解。求出了在参数取某些值时D avey-S tew artson方程的显式精确行波解,并在不同的参数条件下,给出了上述光滑孤立波解、不可数无穷多光滑周期波解、扭结波和反扭结波解存在的各类充分条件。

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.Under different parametric conditions,various sufficient conditions to guarantee the existence of the above solutions are given.Some exact explicit parametric representations of the above waves are determined.

用动力系统分支理论研究了三阶非线性Schringer方程.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.在不同的参数条件下,给出了上述解存在的各类充分条件.求出了该方程的显式精确行波解.

 
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