On elliptic solutions of nonlinear ordinary differential equations

被引:16
作者
Demina, Maria V. [1 ]
Kudryashov, Nikolai A. [1 ]
机构
[1] Natl Res Nucl Univ, Dept Appl Math, MEPhI, Moscow 115409, Russia
关键词
Elliptic solutions; Periodic solutions; Meromorphic solutions; Nonlinear ordinary differential equations; TANH-FUNCTION METHOD; WAVE SOLUTIONS;
D O I
10.1016/j.amc.2011.04.043
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The problem of constructing and classifying exact elliptic solutions of autonomous nonlinear ordinary differential equations is studied. An algorithm for finding elliptic solutions in explicit form is presented. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码:9849 / 9853
页数:5
相关论文
共 16 条
[1]   Rational solutions of fifth-order evolutionary equations for describing waves on water [J].
Bagderina, Yu Yu .
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 2008, 72 (02) :180-191
[2]   Solitary wave solution for the generalized Kawahara equation [J].
Biswas, Anjan .
APPLIED MATHEMATICS LETTERS, 2009, 22 (02) :208-210
[3]   Explicit expressions for meromorphic solutions of autonomous nonlinear ordinary differential equations [J].
Demina, Maria V. ;
Kudryashov, Nikolay A. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (03) :1127-1134
[4]   From Laurent series to exact meromorphic solutions: The Kawahara equation [J].
Demina, Maria V. ;
Kudryashov, Nikolay A. .
PHYSICS LETTERS A, 2010, 374 (39) :4023-4029
[5]   Extended tanh-function method and its applications to nonlinear equations [J].
Fan, EG .
PHYSICS LETTERS A, 2000, 277 (4-5) :212-218
[6]   New transformations and new approach to find exact solutions to nonlinear equations [J].
Fu, ZT ;
Liu, SK ;
Liu, SD .
PHYSICS LETTERS A, 2002, 299 (5-6) :507-512
[7]   EXACT-SOLUTIONS OF THE GENERALIZED KURAMOTO-SIVASHINSKY EQUATION [J].
KUDRYASHOV, NA .
PHYSICS LETTERS A, 1990, 147 (5-6) :287-291
[8]   Simplest equation method to look for exact solutions of nonlinear differential equations [J].
Kudryashov, NA .
CHAOS SOLITONS & FRACTALS, 2005, 24 (05) :1217-1231
[9]   PARTIAL-DIFFERENTIAL EQUATIONS WITH SOLUTIONS HAVING MOVABLE 1ST-ORDER SINGULARITIES [J].
KUDRYASHOV, NA .
PHYSICS LETTERS A, 1992, 169 (04) :237-242
[10]   ON TYPES OF NONLINEAR NONINTEGRABLE EQUATIONS WITH EXACT-SOLUTIONS [J].
KUDRYASHOV, NA .
PHYSICS LETTERS A, 1991, 155 (4-5) :269-275