MOTION OF SOLITONS AND KINKS FOH. ,1, EQUATION AND SBS EQUATIONS UNDER VARIOUS EFFECTS.
Sayed Ahmed Ahmed Sayed Hamadan;
Abstract
This thesis, which consists of four chapters, deals with certain nonlinear problems in soliton theory.
The first chapter is an introduction to the basic concepts and historical development for model . These models are considered in this research Chapter 2 deals with the motion of damped 4>4 kink under an external applied force and also in the presence of the complication of thermal fluctuations. I have evaluated the correlation function, and the diffusion coefficient for 4>4 kinks using singular perturbation expansion.
Chapter 3 deals with the usual 4>4 equation in the presence of weak external perturbations. We have shown that kinks are localized inside potential barriers of schottky type. These barriers are due to the disorder effect in the material. The case is examined in both static (t=O) and
dynamic barriers for only low-velocity kinks. Localization of kinks
reduces their velocity and affects its centre-of-mass.
In chapter 4, I have studied SBS equations in the presence of small
damping and optical Kerr effects using multiscale techniques. A first order perturbation for SBS is developed. I have found that there is a stationary solution for a soliton. The velocity of this soliton is determined by the damping and Kerr coefficients. We also have found that there is a constans shift in the amplitude of the pump in the region between the front of the backward moving soliton and the forward light cone of the pump.
The first chapter is an introduction to the basic concepts and historical development for model . These models are considered in this research Chapter 2 deals with the motion of damped 4>4 kink under an external applied force and also in the presence of the complication of thermal fluctuations. I have evaluated the correlation function, and the diffusion coefficient for 4>4 kinks using singular perturbation expansion.
Chapter 3 deals with the usual 4>4 equation in the presence of weak external perturbations. We have shown that kinks are localized inside potential barriers of schottky type. These barriers are due to the disorder effect in the material. The case is examined in both static (t=O) and
dynamic barriers for only low-velocity kinks. Localization of kinks
reduces their velocity and affects its centre-of-mass.
In chapter 4, I have studied SBS equations in the presence of small
damping and optical Kerr effects using multiscale techniques. A first order perturbation for SBS is developed. I have found that there is a stationary solution for a soliton. The velocity of this soliton is determined by the damping and Kerr coefficients. We also have found that there is a constans shift in the amplitude of the pump in the region between the front of the backward moving soliton and the forward light cone of the pump.
Other data
| Title | MOTION OF SOLITONS AND KINKS FOH. ,1, EQUATION AND SBS EQUATIONS UNDER VARIOUS EFFECTS. | Other Titles | حركة السوليتونات والكينكات على معادلة ومعادلات SBS تحت تأثيرات مختلفة | Authors | Sayed Ahmed Ahmed Sayed Hamadan | Issue Date | 1998 |
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