We study the propagation of one-dimentional optical beams in a weakly nonlocal medium exhibiting cubic-quintic nonlinearity. A nonlinear equation governing the evolution of the beam intensity in the nonlocal medium allows us to examine whether the traveling-waves exist in such optical material. An efficient transformation is applied to obtain explicit solutions of the envelope model equation in the presence of all material parameters. We find that a variety of periodic waves accompanied with a nonlinear chirp do exist in the system in the presence of the weak nonlocality. Chirped localized intensity dips on a continuous-wave background as well as solitary waves of the bright and dark types are obtained in a long wave limit. A class of propagating chirped self-similar solitary beams is also identified in the material with the consideration of the inhomogeneities of media. The applications of the obtained self-similar structures are discussed by considering a periodic distributed amplification system.

我们研究了一维光束在表现出三次五次非线性的弱非局部介质中的传播。控制非局部介质中光束强度演变的非线性方程使我们能够检查行波是否存在于这种光学材料中。在存在所有材料参数的情况下，应用有效的变换来获得包络模型方程的显式解。我们发现在弱非局域性存在的情况下，系统中确实存在各种伴随非线性啁啾的周期性波。连续波背景上的啁啾局部强度下降以及明暗类型的孤立波在长波极限中获得。考虑到介质的不均匀性，材料中还确定了一类传播啁啾自相似孤立光束。通过考虑周期性分布式放大系统讨论所获得的自相似结构的应用。