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(2+1)维Gardner方程的精确孤波解与周期波解 被引量:3

Exact Solitary Wave Solutions and Periodic Solutions to(2 + 1)-dimensional Gardner Equation
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摘要 应用一类辅助方程技巧研究了(2+1)维的Gardner方程.借助符号运算系统,有效地得到了该方程的新的扭结解、孤波解以及周期解.该方法直接、精确,对解决其他数学物理中的非线性发展方程具有普遍的意义. An auxiliary equation method with the aid of symbolic computation is applied to the study of the (2 + 1 ) - dimensional Gardner equation. As a result, new exact kink solutions, solitary wave solutions and periodic form solutions are efficiently obtained. The method is straightforward and concise, and it can also be applied to other nonlinear evolution equations in mathematical physics.
作者 李自田
出处 《曲靖师范学院学报》 2014年第6期5-7,共3页 Journal of Qujing Normal University
基金 云南省自然科学基金项目"多孤波传播的力学结构研究"(2013FZ113)研究成果
关键词 辅助方程技巧 Gardner方程 扭结解 孤波 周期解 auxiliary equation method Gardner equation kink solitary wave periodic solution
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