四川大学学报（自然科学版）2024，Vol.61Issue(1)：1-8,8.DOI:10.19907/j.0490-6756.2024.011001
非Kerr光纤中亮孤子的稳定性与相互作用
Stability and interaction of bright solitons in non-Kerr fiber
摘要
Abstract
Dynamical behaviors of bright solitons can be described by the nonlinear Schrödinger equation(NLSE)with cubic-quintic competing nonlinear terms.In this paper,to numerically solve the initial val-ue problem of the NLSE,two difference schemes are proposed.Firstly,we transfer the initial value problem into the initial value problem with boundary conditions,truncate the unbounded region into a bounded region and constructe a reasonable boundary condition based on the asymptotic behaviors of bright solitons in the far field.Then we design the Crank-Nicolson finite difference(CNFD)and time-splitting finite difference(TSFD).The CNFD scheme is fully implicit and can conserve discrete energy and mass.Meanwhile,the TSFD scheme is linear implicit and can only conserve discrete mass.Finally,after the performance of the two schemes is compared by some examples,we explore the stability and in-teraction of bright solitons by using the TSFD scheme.关键词
亮孤子/薛定谔方程/三次-五次非线性/非Kerr光纤Key words
Bright soliton/Schrödinger equation/Cubic-quintic nonlinearity/Non-Kerr fiber分类
数理科学引用本文复制引用
胡唯伊,王运涛,徐友才,张世全..非Kerr光纤中亮孤子的稳定性与相互作用[J].四川大学学报（自然科学版）,2024,61(1):1-8,8.基金项目
国家重大专项(GJXM92579) （GJXM92579）
四川省自然科学基金(2023NSFSC0075) （2023NSFSC0075）
