A general framework for the description of classic wave propagation is introduced. This relies on a cone structure $\mathcal{C}$ determined by an intrinsic space $\Sigma$ of velocities of propagation (point, direction and time-dependent) and an observers’ vector field $\partial ∕\partial t$ whose integral curves provide both a Zermelo problem for the wave and an auxiliary Lorentz–Finsler metric $G$ compatible with $\mathcal{C}$. The PDE for the wavefront is reduced to the ODE for the $t$-parametrized cone geodesics of $\mathcal{C}$. Particular cases include time-independence ($\partial ∕\partial t$ is Killing for $G$), infinitesimally ellipsoidal propagation ($G$ can be replaced by a Lorentz metric) or the case of a medium which moves with respect to $\partial ∕\partial t$ faster than the wave (the “strong wind” case of a sound wave), where a conic time-dependent Finsler metric emerges. The specific case of wildfire propagation is revisited.

介绍了描述经典波传播的通用框架。这依赖于锥形结构$\mathcal{C}$ 由内在空间决定 $\Sigma$ 传播速度（点，方向和时间相关）和观察者的矢量场 $\partial ∕\partial Ť$ 其积分曲线既提供了波的Zermelo问题，又提供了辅助的Lorentz-Finsler度量 $G$ 与...兼容 $\mathcal{C}$。波前的PDE降低为波前的ODE$Ť$参数化的圆锥测地线 $\mathcal{C}$。特殊情况包括时间独立性（$\partial ∕\partial Ť$ 为之而死 $G$），无限椭圆形传播（$G$ 可以用Lorentz指标代替）或相对于 $\partial ∕\partial Ť$速度比声波（声波的“强风”情况）要快，在声波中出现了与时间相关的圆锥形Finsler度量。重新讨论了野火传播的具体情况。