The paper deals with nonlinear reaction–diffusion systems of two PDEs of a rather general form, which contain arbitrary functions and several delays. Reductions of such non-stationary nonlinear reaction–diffusion systems to simpler systems of stationary PDEs or delayed ODEs are described using a new modification of the functional constraints method. New exact solutions in elementary functions of a diffusive Lotka–Volterra type system with delays are obtained.

中文翻译：

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Lotka-Volterra 和具有延迟的更复杂反应-扩散系统的约简和精确解

该论文讨论了具有相当一般形式的两个偏微分方程的非线性反应扩散系统，其中包含任意函数和几个延迟。使用函数约束方法的新修改描述了将这种非平稳非线性反应扩散系统简化为更简单的平稳 PDE 或延迟 ODE 系统。获得了具有延迟的扩散 Lotka-Volterra 型系统的初等函数的新精确解。