Non-existence of first integrals in a Laurent polynomial ring for general semi-quasihomogeneous systems

作者：Shi Shaoyun^*; Zhu Wenzhuang; Liu Baifeng

来源：Zeitschrift fur Angewandte Mathematik und Physik, 2006, 57(5): 723-732.

DOI：10.1007/s00033-005-0036-3

• first integrals
• Kowalevsky matrix
• Laurent polynomials
• partial integrability
• semi-quasihomogeneous systems

In this paper, we give some simple criteria of non-integrability and partial integrability in a Laurent polynomial ring C[u(1)(+/-),...,u(n)(+/-)] for general semi-quasihomogeneous systems.

• 出版日期2006-9
• 单位吉林大学