扩散Lotka-Volterra系统的条件对称性和精确解
Conditional symmetries and exact solutions of the diffusive Lotka-Volterra system
摘要：
本文完整地描述了经典Lotka-Volterra系统在单空间变量情形下的Q-条件对称性，并构造了一组明确形式的Q-条件对称性.找到了将具有正确指定系数的经典Lotka-Volterra系统约化为常微分系统的相关非Lie ansätze方法和新的精确解的例子，并对某些精确解给出了可能的生物学解释.
英文摘要：
Q-conditional symmetries of the classical Lotka-Volterra system in the case of one space variable are completely described and a set of such symmetries in explicit form is constructed. The relevant non-Lie ansätze to reduce the classical Lotka-Volterra systems with correctly-specified coefficients to ODE systems and examples of new exact solutions are found. A possible biological interpretation of some exact solutions is presented.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
