From the point of view of evolution equations with soliton solutions,we present a general way for the study of the shockwave of one-dimensional Burgers equation under the action of perturbations.Apart from the damping...From the point of view of evolution equations with soliton solutions,we present a general way for the study of the shockwave of one-dimensional Burgers equation under the action of perturbations.Apart from the damping case which needs a somewhat special treatment,we formulate the effects induced by other general perturbations unifyingly.展开更多
Based on the main idea of the derivative expansion method,a perturbation approach is proposed for the investigation of single soliton propagating down a nonideal monomode optical fiber.This approach is totally indepen...Based on the main idea of the derivative expansion method,a perturbation approach is proposed for the investigation of single soliton propagating down a nonideal monomode optical fiber.This approach is totally independent of inverse scattering theory,which has substantial difference from the past methods.In this scheme,the first-order correction is derived by the method of eigenfunction expansion,and the parameters change is directly obtained from the secularity conditions for some cases.展开更多
文摘From the point of view of evolution equations with soliton solutions,we present a general way for the study of the shockwave of one-dimensional Burgers equation under the action of perturbations.Apart from the damping case which needs a somewhat special treatment,we formulate the effects induced by other general perturbations unifyingly.
文摘Based on the main idea of the derivative expansion method,a perturbation approach is proposed for the investigation of single soliton propagating down a nonideal monomode optical fiber.This approach is totally independent of inverse scattering theory,which has substantial difference from the past methods.In this scheme,the first-order correction is derived by the method of eigenfunction expansion,and the parameters change is directly obtained from the secularity conditions for some cases.