By the truncated expansion and Jacobi elliptic function expansion methods, we have found some exact solitary wave, rational formal, triangle function and elliptic periodic solutions of the general variable coefficient KdV equation with external force term.
运用截断展开法和Jacobi椭圆函数展开法,求得了含外力项的广义变系数KdV方程的精确孤立波解、有理形式函数解、三角函数解和椭圆周期解。
In order to control the moving trace of electron beam and make it focus object effectually,the existence of positive elliptic periodic solution was studied based on the electron beam focusing system model.
为了控制电子束的运动轨迹,使其有效地聚焦目标,对电子束聚焦系统数学模型的正椭圆周期解的存在性进行研究。
Some new elliptic periodic solutions and soliton solution of variable coefficient KdV-MKdV equation with three arbitrary functions by are found Jacobi elliptic function expansion method.
运用Jacobi椭圆函数展开法求得了具有3个任意函数的变系数KdV_MKdV方程的新椭圆周期解及孤立波解。
Sound radiation of a submerged periodic ring-stiffened cylindrical shell by space-harmonic analysis;
水下周期环肋圆柱壳声辐射的空间简谐分析
Radiated sound pressure of an infinite periodic ring-stiffened cylindrical shell in fluid field was studied by both theoretical and experimental method.
对流场中一无限长周期环肋圆柱壳受激振动的辐射声压进行了理论和实验研究。
By using Hermite transformation and Jacobi elliptic function expansion method,we obtain some stochastic solutions of the generalized stochastic Kadomtsev-Petviashvili equation,including stochastic elliptic periodic solutions and stochastic solitary wave solutions.
利用Hermite变换和Jacobi椭圆函数展开法研究(2+1)-维广义随机Kadomtsev-Petviashvili方程,并给出了它的随机椭圆周期解及随机孤立波解。
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 Periodic Wave Solutions Expressed with Jacobi Elliptic Functions for (2+1)-dimensional Breaking Soliton Equation
(2+1)-维破切孤子方程的Jacobi椭圆函数周期解
Periodic and Subharmonic Solution of a Class of Hamiltonian Systems and Nontrivail Solutions of Elliptic Boundary Value Problems;
一类Hamilton系统的次调和解与周期解和椭圆型边值问题的非平凡解的存在性
Periodic Waves and Solitary Waves in Zakharov System by a Jacobi Elliptic Function Approach;
Zakharov系统的雅可比椭圆函数的周期波和孤立波
Two-scale analysis for elliptic boundary value problem of quasi-periodic coefficients
一类拟周期系数椭圆型边值问题的双尺度分析
Weierstrass elliptic function solutions for MKdV equations;
MKdV方程的Weierstrass椭圆函数解
Elliptical Polarized Single-Cycle THz Pulse Generated by Femtosecond Laser Filamentation in Air
空气飞秒激光成丝现象中产生的椭圆偏振单周期太赫兹脉冲
Analytical Formulas for Reflected Ray Tracing on Elliptic Cylinder based on the Fermat Principle
UTD应用中椭圆柱面反射点的解析求解
Analytical Algorithm of Four-Center Arcs for Fitting Ellipse and Its Optimal Solution
四心圆弧拟合椭圆的解析算法及其最优解
The security of Elliptic Curve Cryptogrphy(ECC) is based on the difficulty of elliptic curve discrete logarithm.
椭圆曲线密码体制的安全性基于椭圆曲线离散对数问题的难解性。
Concentration Phenomena for Some Singularly Perturbed Elliptic Equations;
一类奇异摄动椭圆方程解的集中现象
Global Solutions of Nonelliptic Nonlinear Schr(?)dinger Equtions;
非椭圆非线性Schr(?)dinger方程整体解
Existence and Multiplicity of Solutions for a Class of Elliptic Equations;
一类椭圆型方程解的存在性及多重性
A Parallel Iterative Method for Solving Elliptic Difference Equations;
求解椭圆差分方程的一种并行迭代法
Qualitative Properties of Solutions to Semilinear Elliptic Equations;
一类半线性椭圆方程解的增长性研究
The Positive Entire Solution of Nonlinear Elliptic Partial Differential Equations;
非线性椭圆型偏微分方程的全局正解
Existence of Positive Solution for a Class of Quasilinear Elliptic Equations;
一类拟线性椭圆型方程正解的存在性
Existence for Solutions of Some Neumann Problems for Elliptic Equations;
几类椭圆方程Neumann问题解的存在性
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