Painleve analysis and invariant solutions of generalized fifth-order nonlinear integrable equation

被引：109

作者：

Kaur, Lakhveer ^{[1
]}

Wazwaz, Abdul-Majid ^{[2
]}

机构：

[1] Jaypee Inst Informat Technol, Dept Math, Noida, UP, India

[2] St Xavier Univ, Dept Math, Chicago, IL 60655 USA

来源：

NONLINEAR DYNAMICS | 2018年 / 94卷 / 04期

关键词：

Generalized fifth-order nonlinear integrable equation; Painleve analysis; Lie symmetry analysis; Invariant solutions; Generalized (G'/G) expansion method; SYMMETRY ANALYSIS;

D O I：

10.1007/s11071-018-4503-8

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In present work, new form of generalized fifth-order nonlinear integrable equation has been investigated by locating movable critical points with aid of Painleve analysis and it has been found that this equation passes Painleve test for which implies affirmation toward the complete integrability. Lie symmetry analysis is implemented to obtain the infinitesimals of the group of transformations of underlying equation, which has been further pre-owned to furnish reduced ordinary differential equations. These are then used to establish new abundant exact group-invariant solutions involving various arbitrary constants in a uniform manner.

引用

页码：2469 / 2477

页数：9

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