改进的G'/G-展开式法在广义Kuramoto-Sivashinsky方程中的应用 钟建新¹, 刘建国²1. 宜春学院数学与计算机科学学院, 宜春 336000;
2. 江西中医药大学计算机学院, 南昌 330004 Application of the Extended (G'/G)-expansion Method to Generalized Kuramoto-Sivashinsky Equations ZHONG Jianxin¹, LIU Jianguo²1. School of Mathematics and Computer Science, Yichun University, Yichun 336000, China;
2. College of Computer, Jiangxi University of Traditional Chinese Medicine, Nanchang 330004, China

摘要 图/表 参考文献(0) 相关文章(1) 点击分布统计 下载分布统计 --> 全文: PDF(631 KB) HTML (1 KB) 输出: BibTeX | EndNote (RIS) 摘要广义Kuramoto-Sivashinsky方程描述了火焰燃烧的位置波动，一种流体沿着垂直壁的运动以及一个均匀介质中的空间均匀振荡化学反应.通过应用改进的（G'/G）-展开式法，我们获得了广义Kuramoto-Sivashinsky方程新的双曲函数行波解，并且给出了各参数的限制条件.事实证明，改进的（G'/G）-展开式法对求解数学物理中的非线性偏微分方程是非常实用的. 服务 加入引用管理器 E-mail Alert RSS 收稿日期: 2015-10-08 PACS: O29 基金资助:国家自然科学基金（61562045），江西省卫生计生委科技计划（20175537）和江西中医药大学科研基金资助项目. 引用本文: 钟建新, 刘建国. 改进的G'/G-展开式法在广义Kuramoto-Sivashinsky方程中的应用[J]. 应用数学学报, 2017, 40(1): 136-143. ZHONG Jianxin, LIU Jianguo. Application of the Extended (G'/G)-expansion Method to Generalized Kuramoto-Sivashinsky Equations. Acta Mathematicae Applicatae Sinica, 2017, 40(1): 136-143. 链接本文: http://123.57.41.99/jweb_yysxxb/CN/或 http://123.57.41.99/jweb_yysxxb/CN/Y2017/V40/I1/136 [1] Zhang Y, Song Y, Cheng L, Ge J Y, Wei W W. Exact solutions and Painlevé analysis of a new (2+1)-dimensional generalized KdV equation. Nonlinear Dyn., 2012, 68:445-458 [2] Chen J B. 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