New solitary wave-like solution and analytic solution of generalized KdV equation with variable coefficients;
变系数广义KdV方程新的类孤波解和解析解
Exact and explicit solutions to KdV equation;
KdV方程的显式精确解
The meromophic solutions of the complex KdV equation;
复化的KdV方程的亚纯解结构
The new solitary wave solutions to KdV-Burgers equation;
KdV-Burgers方程的新的孤波解
Exact solutions to the KdV-Burgers equation and KdV-Burgers-Kuramoto equation;
KdV-Burgers方程和KdV-Burgers-Kuramoto方程的精确解
The new solitrary wave solutions of the KdV-Burgers equation
KdV-Burgers方程的新孤波解
Inertial fractal set for damping KDV-KSV equation of chromatic dispersion;
具有色散的阻尼KDV-KSV方程的惯性分形集
WT5BZ]In this paper, with the aid of Mathematica, exact soliton solutions and two kinds of periodic wave solutions are obtained for the 2N+1 order KdV type equations by using three types of new ansatzes, and three kinds of explictic exact solutions are also found for the 2N+1 order KP equations.
借助于Mathematica软件 ,通过引入 3种新的假设 ,获得了 2N +1阶KdV型方程的孤子解和两种周期波解 ,并得到了 2N +1阶KP型方程的 3种显式精确解 。
In this paper, the KDV type equation is considered on an unbounded domainR~1.
本文研究了无界区域R~1上的KDV型方程,运用带权空间构造一类紧算子和算子分解的方法,得到了该方程在无界区域R~1上拥有一个指数吸引子。
In the second chapter, the KDV type equation on unbounded domain is considered.
在第二章中，运用带权空间构造一类紧算子和算子分解的方法，研究了无界区域上的KDV型方程，得到了该方程指数吸引子的存在性。
The cylindrical KdV equation,an important nonlinear mode,is transformed to a nonlinear ordinary differential equation with Painleve II property by similarity transformation.
柱KdV方程是一个重要的非线性模型。
The generalized solutions are obtained for a class of KdV equations,including the damping KdV equations,the cylindrical KdV equations and spherical KdV equations.
对包括阻尼KdV方程、柱KdV方程和球KdV方程在内的一类KdV方程进行求解,得到了这一类方程积分意义下的广义解析解。
By means of similar transformation and Miura transformation imposed on the cylindrical KDV equation,the equation is reduced to nonlinear ordinary differential equation with the property of Painleve.
对柱KDV方程进行相似变换、Miura变换等将其化为具有Painleve性质的非线性常微分方程,一是在此基础上,进一步将具有Painleve性质的非线性常微分方程弱化为Airy方程;二是引入Boutroux变换,使转化后的方程具有椭圆函数解,在这两种情况下分别得到了该方程的渐进自相似解。
In this paper,we study one type of partial differential equations :KdV-BBM equation.
研究一类KdV-BBM方程,利用代数方法得到KdV-BBM方程的显式解,并且得到了一些重要的不变量。
Solitary waves of the combined Kdv-mKdv equation
组合KdV-mKdV方程的孤立波
Elliptic Periodic Solutions for Kupershmidt Equation and Couples KdV Equations;
Kupershmidt方程与耦合KdV方程组的椭圆周期解
The auxiliary equation for constructing the exact solutions of coupled KdV equations
辅助方程构造耦合KdV方程组的精确解
Finite Difference Methods for Three-order Nonlinear KdV Equation;
三阶非线性KdV方程的并行差分方法
Coupled KdV Equation with Self-consistent Sources and Its Solutions;
带自相容源的耦合KdV方程及其求解
Darboux Transformation of a Coupled KdV Equation and Its Exact Solutions;
一个耦合KdV方程的Darboux变换及其精确解
Explicit Solutions of a Generalized Hirota-Satsuma Coupled Korteweg-de Vries Equation;
广义Hirota-Satsuma型耦合KdV方程的精确解
Some Dynamical Properties of BBM and Perturbed KdV Equation;
BBM和扰动KdV方程的一些动力学性质
Integrable Dispersionless KdV Hierarchy with Self-consistent Sources;
可积的带自相容源无色散KdV方程簇
The KdV Equation of Rossby Wave in Barotropic Fluid;
正压流体中Rossby波振幅的KdV方程
New Exact Solutions to Modified KdV Equation;
Modified KdV方程的几种新精确解
Linear Implicit Difference Scheme for the Generalized Compound KdV Equation;
广义组合KdV方程的线性隐式差分格式
New exact solutions of the (2+1)-dimensional KdV equation with variable coefficients;
(2+1)维变系数KdV方程的新精确解
Exact Solutions of Trigonometric Function to the Combined KdV-mKdV Equation;
组合KdV-mKdV方程的一类三角函数解
Solving the Generalized KdV Equation by Applying the Improved Trial Function Method;
用改进的试探函数法求解广义KdV方程
The explicit plane travelling wave solutions to nonlinear Ur-KdV equation;
非线性Ur-KdV方程的显式平面行波解
Exact Solutions to KdV-Burgers-Kuramoto Equation;
KdV-Burgers-Kuramoto方程的精确解
The new solitary wave solutions to KdV-Burgers equation;
KdV-Burgers方程的新的孤波解