量子电子学报, 2016, 33 (3): 287, 网络出版: 2016-06-15
应用改进的简单方程法求(2+1)维ZK-MEW方程的精确解
Exact solutions for (2+1)-dimensional ZK-MEW equation with modified simple equation method
非线性方程 (2+1)维ZK-MEW方程 孤立波解 周期波函数解 nonlinear equation (2+1)-dimensional ZK-MEW equation solitary wave soltions periodic wave solutions
摘要
应用改进的简单方程法求得(2+1)维ZK-MEW方程的精确解,包括双曲函数解、三角函数解。 对双曲函数解中的参数取特殊值时,可得到孤立波解；对三角函数解中的参数取特殊值时,可得到 周期波函数解。实践表明:简单方程法在光电子学、量子光学、激光物理和等离子体物理等领域具有广泛的应用。
Abstract
Exact solutions of (2+1)-dimensional ZK-MEW equation are obtained with the improved simple equation method, including hyperbolic and trigonometric function solutions. When the special values of parameters in hyperbolic function solutions are given, the solitary wave solutions can be obtained. When the special values of parameters in trigonometric function solutions are given, the periodic wave solutions can be obtained. Practice shows that simple equation method has a wide range of applications in optoelectronics, quantum optics, laser physics and plasma physics fields.
杨娟, 冯庆江. 应用改进的简单方程法求(2+1)维ZK-MEW方程的精确解[J]. 量子电子学报, 2016, 33(3): 287. YANG Juan, FENGQingjiang. Exact solutions for (2+1)-dimensional ZK-MEW equation with modified simple equation method[J]. Chinese Journal of Quantum Electronics, 2016, 33(3): 287.
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