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arXiv · 1212.6351

Lie and conditional symmetries of the three-component diffusive Lotka - Volterra system

Roman Cherniha·Vasyl' Davydovych
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Abstract

Lie and Q-conditional symmetries of the classical three-component diffusive Lotka - Volterra system in the case of one space variable are studied. The group-classification problems for finding Lie symmetries and Q-conditional symmetries of the first type are completely solved. Notably, non-Lie symmetries (Q-conditional symmetry operators) for a multi-component non-linear reaction-diffusion system are constructed for the first time. An example of non-Lie symmetry reduction for solving a biologically motivated problem is presented.

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Roman Cherniha, Vasyl' Davydovych. 2012-12-27. Lie and conditional symmetries of the three-component diffusive Lotka - Volterra system. https://doi.org/10.1088/1751-8113%2F46%2F18%2F185204

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