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- peaked solitary wave solution 尖孤立波解
- Abstract: The properties of solitary wave solution to multidimensional regulari zed long wave equations is discussed and one of its solitary wave solution is ob tained by direct integral method. 文摘:本文讨论了高维正则长波方程的孤立波解的性态，同时运用直接积分法获得了它的一个孤立波解。
- In this paper, the WKB method is used to obtain the nonlineas schrodinger equation satisfied by nonlinear inertia-gravitatrnal wave in the atmosphere, It is found that the nonlineas schiodinges equation has envelope solitary wave solution. 本文用WKB方法讨论大气中惯性重力内波的调制问题，得到了Schrodinger方程及其包络孤立子解。
- The properties of solitary wave solution to multidimensional regulari zed long wave equations is discussed and one of its solitary wave solution is ob tained by direct integral method. 本文讨论了高维正则长波方程的孤立波解的性态，同时运用直接积分法获得了它的一个孤立波解。
- 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。
- 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。
- The homogeneous balance method is a effective method of finding solitary wave solutions of nonlinear evoluiton equations. 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。
- A New Solitary Wave Solution to Fisher Equation Fisher方程的新孤波解
- Single solitary wave solutions, multi-solitary wave solutions and exponential localized solitary wave solutions can be constructed from the results. 单孤波解、多孤波解和指数局域解都可以由本文给出的结果进行构造。
- 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。
- In this paper,the exact solution of the following reaction-diffusing equation ut-auxx+b(u3+cu2+du)=0 are constructed by using a generalized homogeneous balance method. In particular,we obtain the solitary wave solutions. 用推广的齐次平衡方法求出了一类非线性发展方程ut-auxx+b(u3+cu2+du)=0(a;b;c;d为常数)的精确解表达式;从而物理上许多著名的方程;如:Chaffee-Infane方程;Huxley方程等;都可以作为该方程的特殊情形;并求得了相应的孤立波解.
- bell - profile regular solitary wave solution 钟状正则孤波解
- 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 SOLITARY WAVE SOLUTIONS TO KdV-BURGERS EQUATION 关于广义KdV方程的孤波解
- Existence of Solitary Wave Solution to a Nonlinear Traveling Wave Equation 一个非线性行波方程孤立波解的存在性
