Power expansions for the self-similar solutions of the modified Sawada-Kotera equation

被引：1
|
作者：
Efimova, O. Yu. [1 ]
Kudryashov, N. A. [1 ]
机构：
[1] Moscow Engn Phys Inst, Dept Appl Math, Kashirskoe Sh 31, Moscow 115409, Russia
来源：
REGULAR & CHAOTIC DYNAMICS | 2007年 / 12卷 / 02期
关键词：
Kaup-Kupershmidt equation; Sawada-Kotera equation; fourth-order analogue of the second Painleve equation; power geometry methods; asymptotic forms; power expansions;
D O I：
10.1134/S1560354707020062
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The fourth-order ordinary differential equation that defines the self-similar solutions of the Kaup-Kupershmidt and Sawada-Kotera equations is studied. This equation belongs to the class of fourth-order analogues of the Painleve equations. All the power and non-power asymptotic forms and expansions near points z = 0, z = infinity and near an arbitrary point z = z(0) are found by means of power geometry methods. The exponential additions to the solutions of the studied equation are also determined.
引用
收藏
页码：198 / 218
页数：21
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