近十多年来，鉴于其不可预测性和潜在破坏性，极端异常波事件吸引了物理多领域如海洋学、流体动力学、等离子体物理、光学和光子学、玻色爱因斯坦凝聚、声学等的广泛研究兴趣。在非线性光学领域，人们在基于可积数学模型的异常波理论指导下，成功在光纤、锁模激光器、光丝、光折变晶体等媒介中观察到异常波事件。尽管如此，异常波的根源依然还在争论中，如何建立非可积哈密顿系统异常波理论框架的议题还尚待澄清。本项目将致力于研究非可积三波相互作用系统的光学湍流、调制不稳定性、以及极端波事件产生，具体包括：利用微扰展开法或变分法寻求非可积三波相互作用方程的异常波近似解，讨论其复杂动力学；数值研究该非可积系统的光学湍流和调制不稳定性，揭示异常波的产生机制；数值验证异常波态的坚固性，权衡实验研究方案利弊；建立实验装置和诊断装置，实时观测异常波态。我们预期这些研究将有助于澄清异常波现有的学术争议，促进异常波形成理论和方法的发展。

In view of their unpredictability and potentially devastating power, extreme wave events, also referred to as rogue wave events, have attracted broad interest of research in branches of physics as diverse as oceanography, hydrodynamics, plasma physics, optics and photonics, Bose-Einstein condensation, and acoustics for more than a decade. In the context of nonlinear optics, following the theory of rogue waves based on the integrable mathematical models, researchers from different laboratories worldwide have successfully observed the occurrence of rogue wave events in such media as optical fibers, mode-locked lasers, laser filaments, and photorefractive crystals. Despite all this, however, a general understanding of the origin of rogue waves is still in debate, and the issue as to how to build the rogue wave framework for non-integrable systems still needs to be clarified. In this project, we commit ourselves to investigate the optical turbulence, the modulation instability, as well as the rogue wave events in non-integrable three-wave interaction systems both theoretically and experimentally. Specifically, we first derive the approximate rogue wave solutions of such non-integrable Hamiltonian systems, using the perturbation expansion method or the variational approach, followed by a detailed discussion of their complex dynamics. Then, we numerically investigate the optical turbulence and the modulation instability so as to unveil the underlying mechanisms responsible for the rogue wave generation. We also perform extensive numerical simulations to confirm the robustness of the involved dynamics and weight up the consequences of proposals for experimental realization. Lastly, by setting up a self-consistent three-wave interaction system based on the stimulated Brillouin scattering in a dual-mode single-core optical fiber as well as a diagnostic system based on a time lens, we will attempt to observe in real time some complex rogue wave dynamics such as complementary rogue waves. We expect that these studies may help to clarify some disputable issues in current rogue wave research and thus promote the development of the theory and methodology of rogue waves so that they can be applied to both integrable and non-integrable situations.