By the orbit in the phase portraits, different kinds of solitary wave, kink wave and periodic wave solutions are obtained. 通过相图中的各种轨道,获得了孤立波,扭子波和周期波的精确解。
In addition to amplitude and wavelength, a periodic wave is characterized by its frequency. 除了振幅和波长,周期波有它自己的频率。
The periodic wave solutions of the integrable Davey-Stewartson equations 一类可积的Davey-Stewartson方程组的周期波解
Periodic Wave Solutions of a Dissipation-dispersion Nonlinear Wave Equation The Blow-up of Solutions of a Class of Nonlinear Dispersive-dissipative Equation 一类耗散&频散非线性波动方程的周期波解一类非线性耗色散方程解的Blow-up
Bifurcation of Solitary Wave and Periodic Wave Solutions for BBM Equation; BBM方程孤立波和周期波解的分支(英文)
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。
No matter from the wave type structure, space, time, speed, all the signs are that, large periodic wave two adjustment will end. 无论从浪型结构、空间、时间、速度,这一切的迹象都表明,大周期二浪调整将结束。
A wave that repeats, like the one above, is called a periodic wave. 如上图所示的周期性的波,称之为周期波。
New Periodic Wave Solution and Computer Graphics for the Generalized ( n+ 1)-dimensional Boussinesq Equation 广义(n+1)维Boussinesq方程的新的周期解与计算机模拟图像
An extended F-expansion method is presented for finding periodic wave solutions of nonlinear evolution equations in mathematical physics, which can be thought of as a concentration of extended Jacobi elliptic function expansion method proposed recently. 提出了一种求数学物理问题中非线性发展方程周期波解的扩展F展开法,是近来提出的Jacobi椭圆函数展开法的概括。
By using the homogeneous balance principle and the extended F-expansion method, the double periodic wave solutions expressed by Jacobi elliptic functions to the ( n+ 1)-dimensional Sine-Gordon equation are obtained. In the limit condition, the solitary wave solutions can be obtained. 利用齐次平衡原则和扩展的F展开法求出了(n+1)维Sine-Gordon方程的Jacobi椭圆函数表示的双周期行波解,在极限情况下可得孤立波解。
Periodic Wave Solutions for Long-short Wave Interaction Equations 长短波相互作用方程组的周期波解
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。
Variable Separative Solution and periodic Wave structures for Three-dimensional Generalized Burgers Equation 三维广义Burgers方程的变量分离解和双周期波结构
By using the F-expansion method we obtain a number of periodic wave solutions expressed by various Jacobi elliptic function for the coupled Schrodinger-Boussinesq equations. In the limit case, solitary wave solutions are obtained as well. 本文针对耦合Schrodinger-Boussinesq方程组,借助于F-展开法得到了用不同Jacobi椭圆函数表示的一系列周期波解.在极限情况下,还求出了对应的孤立波解。
We found that some new and interesting complex wave excitations are derived from a periodic wave solution. 根据其中的周期波解,找到了该系统的复合波,即在周期波背景下的孤立波,并简要讨论了其演化行为。
Firstly, the Whitham-Broer-Kaup system has been studied in light of the theory of dynamical systems, the theory of bifurcation, and the direct method. The existence of smooth solitary wave solutions, kink and anti-kink wave solutions and periodic wave solutions has then proved. 运用平面动力系统理论、分支理论和直接方法,研究了Whitham-Broer-Kaup方程,证明该方程存在光滑孤立波解、扭结波和反扭结波解和无穷多光滑周期波解。
In this paper, a method of precise evaluation on the frequency or period of periodic wave series is introduced, that is the digital filtering and the least mean square sine wave curve fitting. The errors of curve fitting are also discussed. 介绍了精确评价周期信号序列的周期的一种方法,使用的手段是数字滤波与正弦波曲线拟合,并讨论了其拟合误差情况。
By applying F-expansion which can be thought of as a concentration of the Jacobi elliptic function expansion, a number of new periodic wave solutions expressed by various Jacobi elliptic functions of the long-short wave interaction equations can be obtained. F展开法,可看作是Jacobi椭圆函数展开方法的概括或浓缩。利用该法求出了长短波相互作用方程组的许多新的由Jacobi椭圆函数表示的周期波解。
New Periodic Wave Solutions for Some Fifth-order Nonlinear Equations 一类五阶非线性发展方程新的周期解
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. 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。
Solitary Wave Solutions and Periodic Wave Solutions to Equal Width Wave Equation EqualWidth波方程的孤立波解雨周期波解
By using the F-expansion method recently proposed, the exact solutions ( including periodic wave solutions expressed by Jacobi elliptic functions) for the Davey-Stewartson ⅰ equation are derived. 利用新近提出的F-展开法,导出了Davey-Stewartson方程的由Jacobi椭圆函数表示的周期波解;
The localization factors in ordered and disordered periodic wave-guides are respectively computed and the effect of several parameters such as the degree of disorder of span-length, the transmission coefficient and the reflection coefficient on the localization factors is analyzed. 分别计算了谐和与失谐周期波导中的局部化因子,并分析了跨长失谐、透射系数和反射系数等参数对局部化因子的影响。
At the same time, the paper study a coupled nonlinear wave equations, the existence and stability of periodic wave solutions by Hopf bifurcations are obtained. Under different parametric conditions, various sufficient conditions to guarantee the existence and stability of the above solutions are given. 同时本文还应用动力系统的Hopf分支理论来研究一类耦合非线性波方程周期行波解的存在性和稳定性.在不同的参数条件下给出了上面解存在和稳定性的充分条件。
By using the F-expansion method, without calculating Jacobi elliptic functions, we obtain simultaneously many periodic wave solutions expressed by various Jacobi elliptic functions for the considered equation ( s). 用F展开法,不需计算Jacobi椭圆函数,就可得到非线性数学物理方程的一些以Jacobi椭圆函数表示的精确解。
New exact periodic wave solutions for this 2D Ginzburg-Landau equation are obtained using the homogeneous balance principle and general Jacobi elliptic-function method. 借助于齐次平衡原理和雅可比椭圆函数方法,本文得到了新的精确周期波解。
In this thesis, we have studied the nonlinear waves in Bose-Einstein condensation by the method of fluid dynamics, which includes the nonlinear periodic wave and solitary wave. 在本文中,我们首先用流体力学方法研究了玻色-爱因斯坦凝聚的非线性波,其中包括非线性周期波和孤立子。