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- kink wave and anti-kink wave solutions 扭子波和反扭子波解
- kink wave solutions 扭子波解
- kink wave solution 扭波解
- However, the generalized symmetric regularized long wave equation u tt -u xx -u xxtt +f(u) xt =0 may have not only bell profile solitary wave solutions but also kink profile solitary wave solutions. 广义对称正则长波方程utt-uxx-uxxtt+f(u) xt=0可能既有钟状孤立波解 ;又有扭状孤立波解 .
- Through proper transformation,with the use of undetermined assumption method and algebraic computer system Mathematica,some exact bell and kink solitary wave solutions for these equations are obtained as well. 通过适当变换;并结合待定系数法和计算机代数系统M athem atica求出了它们的钟状和扭状精确孤立波解.
- 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. 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。
- The new periodic wave solutions for cubic nonlinear Schr dinger equation[J]. 引用该论文 豆福全;石玉仁;孙建安;段文山;吕克璞;洪学仁.
- Using some positive solutions of the ODE,the solutions of the generalized BBM equation are obtained,which are the bell type solitary wave solution,the kink type solitary wave solution,and the sinusoidal traveling wave solution. 并利用一阶四次常微分方程的部分正精确解求得含有任意次正幂项非线性广义BBM方程的一些精确解,包括钟状孤波解、扭状孤波解以及用三角函数表示的周期解。
- The underlying method is based on the simple wave solutions of a system of hyperbolic partial differential equations. 基本的方法是以双曲型偏微分方程组的简单波解为根据的。
- In this paper, the bifurcations of solitary wave and kink waves for Whitham-Broer-Kaup equations is studied by using the bifurcation theory of planar dynamical systems. 在此文中,通过使用平面动力系统的分支理论来研究Whitham-Broer-Kaup方程的孤立波和扭子波分支,证明了孤立波和扭波的存在性。
- A special type of unsteady motions which bear a resemblance to plane wave solutions of the linear theory of elasticity can be constructed. 一种特殊类型的、和线性弹性理论中的平面波解有点相象的非稳态运动可以建立起来。
- The method also can be applied to seek some special types of exact solitary wave solutions to other nonlinear PDE. 这个方法也可以用来寻找其他非线性偏微分方程的精确孤立波解。
- These solutions may be reduced to the envelope solitary wave solutions under some conditions. 由这种方法得到的包络周期解在一定条件下可以退化为包络冲击波解或包络孤立波解.
- The extended homogenous balance method is applied to find solitary wave solutions of nonlinear evolution equations. 摘要为了求非线性发展方程的孤立波解，提出了齐次平衡法的扩展应用。
- The formal variable separation approach is developed to find multiple solitary wave solutions for nonintegrable models. 形式分离变量法被推广应用于寻求不可积模型的多孤立波解。
- The monotone and oscillatory front wave solutions in a class of reaction-diffusion equations is studied . 本文讨论一类反应扩散方程的单调波前解及振荡波前解的存在性；
- Therefore, these equations with vanishing body forces cannot admit plane wave solutions under an arbitrary initial state of stress. 因此，这些方程当彻体力为零时，在任意的初始胁强状态下并不具备平面波解。
- Using the modified Jacobi elliptic function expansion method,the periodic wave solutions for the coupled nonlinear Klein-Gordon equations are obtained. 利用修正的Jacobi椭圆函数展开方法;获得了一类耦合非线性Klein-Gordon方程组的周期解.
- The kink waves of a nonlinear quartic equation 一类非线性四阶方程的纽结波解
- Abstract: The homogeneous balance method is a effective method of finding solitary wave solutions of nonlinear evoluiton equations. 文摘:齐次平衡法给出了一种求非线性演化方程孤波解的有效方法。
