物理学报2012,Vol.61Issue(15):281-288,8.
非局域非线性介质中多极表面光孤子的解析解及其稳定性分析
The analytical solution and stability of multipole surface soliton in nonlocal nonlinear medium
摘要
Abstract
In this paper,the research on the multipole surface soliton in nonlocal nonlinear medium is done.Theoretical study indicates that multipole surface soliton in nonlocal nonlinear medium can also be regarded as a half part of a bulk soliton with an antisymmetric amplitude distribution.Using this fact,we could obtain the analytical solution of multipole surface soliton easily.Secondly,comparing the numerical solution acquired by numerical computation with analytical solution,we find that analytical solution is in good agreement with numerical solution.Finally,a research is done on the stability of multipole surface soliton using our model.The result shows that the width of the instability domain of dipole surface soliton is smaller than that of quadrupole bulk soliton.In addition all higher-order multipole surface solitons are unstable.关键词
非局域非线性/多极表面孤子/稳定性Key words
nonlocal nonlinear/multipole surface soliton/stability分类
数理科学引用本文复制引用
蔡善勇,梅磊,彭虎庆,陆大全,胡巍..非局域非线性介质中多极表面光孤子的解析解及其稳定性分析[J].物理学报,2012,61(15):281-288,8.基金项目
国家自然科学基金(批准号:10804033,11174090)资助的课题 ()