Analisis Simetri Lie Persamaan Painleve Ince

Maulana Malik, Siti Sabariah Abas, Mustafa Mamat, F Sukono

Abstract


Penentuan koordinat kanonik  merupakan hal yang diperlukan dalam penentuan solusi persamaan diferensial dengan menggunakan metode simetri Lie.  Pada tulisan ini dibahas penentuan koordinat kanonik dari persamaan diferensial Painleve Ince dan mereduksinya menjadi persamaan diferensial orde satu.  Berdasarkan hasil pembahasan metode simetri Lie dapat digunakan untuk menentukan solusi eksak persamaan diferensial Painleve Ince.

Keywords


Koordinat Kanonik, Metode Simetri Lie, Persamaan Painleve Ince, Persamaan Diferensial Orde Satu.

References


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Singh, M., 2015, On Reduction of Some Differential Equations using Symmetry Methods, Journal of Natural Sciences Research, Volume 5, Issue 3, 2015, Pages 44 - 47.

Estevez, P.G., Herranz, F.J., de Lucas, J., Sardon,C., 2016, Lie symmetries for Lie systems : applications to systems of ODEs and PDEs, Applied Mathematics and Computation, January 2016, Pages 1 - 30.

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Steinhour, R.A, 2013, The Truth About Lie Symmetries: solving Differential Equations With Symmetry Methods. Senior Independent Study Theses, Department of Mathematics and Computer Science, The College of Wooster.

Gilmore, R, 2006, Lie groups, Lie Algebras, and some of their applications. Dover Publications.




DOI: https://doi.org/10.24198/jmi.v15.n1.21022.45-52

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