From Laurent series to exact meromorphic solutions: The Kawahara equation

Demina M.V.; Kudryashov N.A.

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From Laurent series to exact meromorphic solutions: The Kawahara equation

机译：从洛朗级数到精确的亚纯解：川原方程

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Meromorphic traveling wave solutions of the Kawahara equation and the modified Kawahara equations are studied. An algorithm for constructing meromorphic solutions in explicit form is described. The classification problem for meromorphic solutions of autonomous nonlinear ordinary differential equations is discussed.

机译：研究了Kawahara方程和修正的Kawahara方程的亚纯行波解。描述了一种构造显式亚纯解的算法。讨论了自治非线性常微分方程亚纯解的分类问题。

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来源
《Physics Letters, A》 |2010年第39期|共7页
作者
Demina M.V.; Kudryashov N.A.;
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正文语种 eng
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关键词
Elliptic solution; Exact solution; Kawahara equation; Meromorphic solution; Modified Kawahara equation; Periodic solution;

机译：椭圆解;精确解;川原方程;亚纯解;修正的川原方程;周期解;

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1. From Laurent series to exact meromorphic solutions: The Kawahara equation [J] . Demina M.V., Kudryashov N.A. Physics Letters, A . 2010,第39期

机译：从洛朗级数到精确的亚纯解：川原方程
2. New exact travelling wave solutions for the Kawahara and modified Kawahara equations [J] . Sirendaoreji Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2004,第1期

机译：川原方程和修正的川原方程的新精确行波解
3. New exact travelling wave solutions of Kawahara type equations [J] . Jang B Nonlinear Analysis: An International Multidisciplinary Journal . 2009,第1期

机译：川原型方程的新精确行波解
4. Obtaining a series of Exact Solutions to Charge Density Wave Equations in Conductive Polymer [C] . Dongbo Cao, LiuXian Pan, YanBin Sun International Workshop on Information and Electronics Engineering . 2013

机译：获得一系列精确的导电聚合物充电密度波方程的精确解
5. A study on the solutions of Kawahara, and complex-valued Burgers and KdV-Burgers equations [D] . Khanal, Netra Prakash 2009

机译：关于川原，复值Burgers和KdV-Burgers方程的解的研究
6. The Oscillation on Solutions of Some Classes of Linear Differential Equations with Meromorphic Coefficients of Finite p q-Order [O] . Hong-Yan Xu, Jin Tu, Zu-Xing Xuan 2013

机译：几类具有亚纯pq-阶亚纯系数的线性微分方程解的振动性
7. From Laurent Series to Exact Meromorphic Solutions: the Kawahara equation [O] . Demina, Maria V., Kudryashov, Nikolay A. 2011

机译：从Laurent系列到精确的亚纯解决方案：Kawahara 方程

From Laurent series to exact meromorphic solutions: The Kawahara equation

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