A new 2D integrable system with a quartic second invariant

Abstract

In the present note we introduce a new solution of this equation, lead- ing to a new integrable system with a quartic integral, which involves 16 free parameters. A special case of the new system admits interpretation in a problem of rigid body dynamics. It gives a new integrable variation of the cases due to Kovalevskaya (1889), Chaplygin (1903) Goriatchev (1916) and Yehia (2006).

Submitted to Journal of Physics A: Mathematical and Theoretical

References in corpus (1)

• Atlas of two-dimensional irreversible conservative lagrangian mechanical systems with a second quadratic integral

Cited by in corpus (3)

• On two-dimensional integrable models with a cubic or quartic integral of motion
• New families of integrable two-dimensional systems with quartic second integrals
• Comments on two papers by Galliano Valent, concerning integrable Hamiltonian systems admitting quartic and cubic integrals