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arXiv · 1308.1442

New families of integrable two-dimensional systems with quartic second integrals

H. M. Yehia·A. M. Hussein
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Abstract

The method introduced in (Yehia H M 2006 J. Phys. A: Math. Gen. 39 5807-5824) and (Yehia H M 2012 J. Phys. A: Math. Gen. 45 395209) is extended to construct new families of several-parameter integrable systems, which admit a complementary integral quartic in the velocities. A total of 12 new systems are obtained, with a number of parameters ranging from 7 up to 16 parameters.

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H. M. Yehia, A. M. Hussein. 2013-08-06. New families of integrable two-dimensional systems with quartic second integrals. https://arxiv.org/abs/1308.1442

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