A REMARK ABOUT QUASI-PAINLEVE EQUATIONS OF P-II TYPE

作者：Filipuk Galina^*

来源：Comptes Rendus de l Academie Bulgare des Sciences, 2015, 68(4): 427-430.

• quasi-Painleve equations
• Hamiltonian systems
• integrability
• differential Galois group

We prove non-integrability by rational first integrals of a sub-family of the quasi-Painleve equations including the second Painleve equation P-II by using the Morales-Ruiz and Ramis method. We calculate the normal variational equation along a particular zero solution and show that it is the Airy equation as in the case of P-II.

• 出版日期2015