摘要
用行波方法给出了含有增益色散项和双光子吸收项的非线性Ｓｃｈｒｏｄｉｎｇｅｒ方程的皮秒严格亮基孤子解和严格暗基孤子解，以及严格暗基孤子解存在的条件；分别采用守恒量近似和Ｌａｇｒａｎｇｅ微扰近似，讨论了严格基孤子解存在所必需的参数条件不能严格满足时，参数偏离对准亮基孤子和准暗孤子传播的影响．讨论结果表明，既使是严格基孤子解的存在条件不能满足，在守恒量近似的意义上，皮秒亮光脉冲传播一段距离以后，仍能演化成稳定的亮基孤子；而暗基孤子的传播在微扰近似的意义上不受参数偏离的影响．
The exact bright and dark soliton solutions of the nonlinear Schrodinger equation with two-photon absortion and with bandlimited optical gain, respectively, are given with the travelling wave method. The stabilities of the bright soliton and the dark one are investigated, respectively,with the conservation approximation method and the Lagrange's approxmiation one. The results show that both quasi-bright picosecond soliton and quasi-dark one are stable even if the conditions under which exact soliton solutions exist are not satisfied exactly.
出处
《烟台大学学报（自然科学与工程版）》
CAS
1996年第2期24-27,共4页
Journal of Yantai University(Natural Science and Engineering Edition)
基金
国家自然科学基金
山东省自然科学基金
关键词
增益色散
双光子吸收
亮基孤子
暗基孤子
gain dispersion
two-photon absorption
bright ground soliton
dark ground soliton
