A Short Note on Nonlocal Transformations and First Integrals for Certain Nonlinear Oscillator Equations

被引：0

作者：

Yasar, Emrullah ^{[1
]}

机构：

[1] Uludag Univ, Fac Arts & Sci, Dept Math, Gorukle, Bursa, Turkey

来源：

ABSTRACT AND APPLIED ANALYSIS | 2013年

关键词：

D O I：

10.1155/2013/702382

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This short note presents a simple and effective application of the generalized Sundman transformations and the Jacobi last multiplier approach for two nonlinear oscillator equations. We reobtain the first integrals with this method very easily. In addition, we also compute the Sundman symmetries and Lagrangians.

引用

页数：3

共 4 条

[1] On the nonlocal symmetries of certain nonlinear oscillators and their general solution
Bruzon, M. S.
Gandarias, M. L.
Senthilvelan, M.
[J]. PHYSICS LETTERS A, 2011, 375 (33) : 2985 - 2987
[2] On isochronous cases of the Cherkas system and Jacobi's last multiplier
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[3] On generalized Sundman transformation method, first integrals, symmetries and solutions of equations of Painleve-Gambier type
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[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (7-8) : 3247 - 3257
[4] Standard and non-standard Lagrangians for dissipative dynamical systems with variable coefficients
Musielak, Z. E.
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (05)

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