Title of article
Integrability and linearizability of the Lotka–Volterra systems
Author/Authors
Liu، Changjian نويسنده , , Chen، Guoting نويسنده , , Li، Chengzhi نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2004
Pages
-300
From page
301
To page
0
Abstract
Integrability and linearizability of the Lotka– Volterra systems are studied. We prove sufficient conditions for integrable but not linearizable systems for any rational resonance ratio. We give new sufficient conditions for linearizable Lotka–Volterra systems. Sufficient conditions for integrable Lotka– Volterra systems with 3:q resonance are given. In the particular cases of 3:5 and 3:4 resonances, necessary and sufficient conditions for integrable systems are given.
Keywords
Balance laws , Nonconservative (NC) products , Nonstrict hyperbolicity , Well-balanced (WB) Godunov scheme
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Serial Year
2004
Journal title
JOURNAL OF DIFFERENTIAL EQUATIONS
Record number
119136
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