Periodic solutions to ZK-MEW equation in the form Lame equation

机译：形式跛足方程中ZK-MEW方程的定期解

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The periodic solutions to ZK-MEW equation is investigated based on an auxiliary Lame equation and the perturbation method. The periodic solutions to ZK-MEW equation is given in the form of Jacobi functions and expressed by the hyperbolic functions, the trigonometric functions with different modulus m. The results are simply discussed. This method is more powerful to seek the exact solutions of the nonlinear partial differential equations in mathematical physics.

机译：基于辅助跛足方程和扰动方法研究了周期性的ZK-MEW方程。 ZK-MEW方程的周期性解决方案以Jacobi函数的形式给出，并由双曲函数表示，具有不同模数M的三角函数。结果简单地讨论过。该方法更强大地寻求数学物理学中非线性偏微分方程的确切解。

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《International Conference on Machinery, Electronics and Control Simulation》|2017年|979p|共4页
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Chun-Huan Xiang; Hong-Lei Wang;
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中图分类 TP2-53;
关键词
Nonlinear; ZK-MEW equation; Lame equation; Evolution equation;

机译：非线性;ZK-MEW方程;跛足方程;演化方程;

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专利

1. Lame equation and asymptotic higher-order periodic solutions to nonlinear evolution equations [J] . Liu GT Applied mathematics and computation . 2009,第2期

机译：非线性发展方程的Lame方程和渐近高阶周期解
2. Constructing Separable Non-27 pi-Periodic Solutions to the Navier-Lame Equation in Cylindrical Coordinates Using the Buchwald Representation: Theory and Applications [J] . International journal of applied mechanics . 2020,第3期

机译：使用Buchwald表示构建可分离的非27个PI-周期性解决方案，在圆柱形坐标中的Navier-Lame方程：理论和应用
3. Quasi-doubly periodic solutions to a generalized Lame equation [J] . Pawellek M Journal of physics, A. Mathematical and theoretical . 2007,第27期

机译：广义Lame方程的拟双周期解。
4. Periodic solutions to ZK-MEW equation in the form Lame equation [C] . Chun-Huan Xiang, Hong-Lei Wang International Conference on Machinery, Electronics and Control Simulation . 2017

机译：形式跛足方程中ZK-MEW方程的定期解
5. PERIODIC SOLUTIONS OF A CLASS OF NONLINEAR DIFFERENTIAL EQUATIONS (THE VAN-DER-POL EQUATION). [D] . ECKWEILER, HOWARD JESSE. 1943

机译：一类非线性微分方程的周期解（范德波尔方程）。
6. Asymptotic Bounds for the Time-Periodic Solutions to the Singularly Perturbed Ordinary Differential Equations [O] . Gabil M. Amiraliyev, Aysenur Ucar 2013

机译：奇摄动常微分方程时间周期解的渐近界
7. Periodic solutions to ZK-MEW equation in the form Lame equation [O] . Chun-Huan Xiang, Hong-Lei Wang 2017

机译：形式跛足方程中ZK-MEW方程的定期解
8. PART I Recent Work on Families of Periodic Solutions of Ordinary Differential Equations. PART II Singular Solutions of Systems of Real Analytic Equations. PART III The Stromgren-Wintner Principle on the Termination of Families of Periodic Solutions. [R] . Daniel C. Lewis 1959

机译：第一部分关于常微分方程周期解族的近期研究。第二部分实分析方程组的奇异解。第三部分stromgren-Wintner关于终止家庭周期解的原则。

Periodic solutions to ZK-MEW equation in the form Lame equation

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