The soliton existed in optical fiber was first predicted by Hasegawa and Tappert in 1973 and has been experimentally observed by Mollenauer in the bell lab in 1980. In the following year, the first Optical Fiber Transmission System has come on the scene. As a preferentially selecting project for a new generation of high-speed and long-distance communications, optical soliton employs the balance between nonlinear effect and dispersion effect to achieve stable transmission of high-speed soliton pulse. Meanwhile, interactions between adjacent soliton pulses are crucial for the transmission of information. To understand the nature and consequence of the soliton interaction, both theoretical and experimental investigations have been extensivly carried out. However, a real long-distance and high-rate fiber optical communication system also involves the balance between the energy supply and loss in the propagation process. Therefore , the dissipative solitons which are exist in dissipative system have become popular object in study of optical solitons communication. Interactions of solitons exhibiting richness of phenomena, including elimination, fusion, fission, annihilation, scattering, volution and so on, are of considerable importance in both theoretical and experimental studies due to their wide applications in optical communication, all-optical logic and switching devices, optical data storage and laser cooling and so on. In this thesis, we numerically investigate the interaction between one-dimensional adjacent solitons by employing a fast split-step Fourier method. We focus on the study of the interaction under the influence of third-order dispersion in some detail and get some significant results.The thesis consists of five chapters. In chapter 1, we briefly introduce the basic theoretical concept of nonlinear optics, solitons. In Chapter 2, we review the history of optical soliton communication and study the crucial problem of theoretical and technical which limit the practical of optical soliton communication. We also discuss the future direction of the research of optical soliton communication. In chapter 3 and chapter 4, we briefly introduce the basic theoretical concept of dissipative solitons and dissipative system, and exhibit some interesting phenomenon of the interaction of period doubling dissipative soliton. In chapter 5, we analyze the influence of third-order dispersion on the interaction of adjacent dissipative solitons in detail. The results show that the appropriate third-order dispersion can restrain the interactions between dissipative optical solitons, which is important for potential application in increasing the bit-rate of the fiber optical telecommunication systems. Finally, we summarize the present thesis and give an outlook for the future study in this field. |