New Integrable Dynamical Systems Derived from the Lie Algebraic Structure of the Homogeneous Lotka--Volterra Ladder Equation
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概要
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The n-dimensional homogeneous Lotka--Volterra (HLV) ladder equation possesses Lie symmetries that generate a Lie algebra isomorphic to \mathfrak{sl}_{n}(\mathbb{K}) [J. Phys. Soc. Jpn. 71 (2002) 2396 and 72 (2003) 973], where \mathbb{K}=\mathbb{C} or \mathbb{R}. In this work, using the Lie algebraic structure of the HLV ladder equation, we derive new n-dimensional dynamical systems and prove their integrability from the viewpoint of Lie symmetries.
- 2013-04-15
著者
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Imai Kenji
Department of Physics, Daido University, Nagoya 457-8530, Japan
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Imai Kenji
Department of Applied Chemistry, Faculty of Engineering, Kanagawa University
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