耗散光子弹在碰撞过程中的能量交换-理论物理专业论文.docxVIP

湘潭大学硕士毕业论文 耗散光子弹在碰撞时的能量交换 II Abstract Nonlinear science includes three theories: chaos, fractal and soliton theory. Soliton is derived from solitary wave. The term “Soliton”, compared with the “solitary wave”, focus more on the property of the particles. Soliton is widespreadly exist in the nature and applied in other fields such as optics, astronomy, biology, and so on. Optical solitons is application of soliton theory on optics, particularly, exhibits great and important potential application in future telecommunication. In view of mechanism of their formation, optical soliton can be divided into spatial optical solitons and temporal optical solitons (balance between dispersion/diffraction and nonlinearity). The concept of dissipative solitons is derived from a combination of soliton science, theory of systems far from equilibrium and the notion of “self-organization”. It is generally acknowledged that dissipative optical solitons are fixed localized solutions resulted from a double balance: between dispersion/diffraction and nonlinearity, and between gain and loss. Furthermore, all dissipative solitons can only exist in the presence of a continuous energy exchange between system and external source. The concept of dissipative optical bullets(DOBs) refers to a spatiotemporal optical soliton which is confined ascribe to nonlinearities in the three spatial dimensions, besides localization in the temporal domain. Two DOBs can be combined together to form a double bullet complex (DBC) just like two atoms can be combined to form a diatomic molecule, which refers to localized structure that can be also stationary, pulsating, and rotating. Dissipative optical bullets can exist in the special parameter region for both DOB and DBC, which has attracted great interest in nonlinear and dissipative systems. In this thesis, we used the three-dimensional complex cubic-quintic Ginzburg-Landau equation which is one of the most-studied nonlinear equations in the physics. We mainly