广西工学院学报
廣西工學院學報
엄서공학원학보
JOURNAL OF GUANGXI UNIVERSITY OF TECHNOLOGY
2009年
2期
19-22
,共4页
高阶色散非线性薛定谔方程%高阶辅助方程%精确波解
高階色散非線性薛定諤方程%高階輔助方程%精確波解
고계색산비선성설정악방정%고계보조방정%정학파해
higher order dispersive nonlinear Schr odinger equation%higher order auxiliary equation%exact wave solution
利用行波约化方法,研究了用于描述飞秒光脉冲传输的高阶色散非线性薛定谔方程.通过借助一个新的高阶辅助方程的解,取得了该方程不同类型的包络型的孤波解、扭结波解、周期波解及奇异波解.
利用行波約化方法,研究瞭用于描述飛秒光脈遲傳輸的高階色散非線性薛定諤方程.通過藉助一箇新的高階輔助方程的解,取得瞭該方程不同類型的包絡型的孤波解、扭結波解、週期波解及奇異波解.
이용행파약화방법,연구료용우묘술비초광맥충전수적고계색산비선성설정악방정.통과차조일개신적고계보조방정적해,취득료해방정불동류형적포락형적고파해、뉴결파해、주기파해급기이파해.
By using the traveling wave reduction method, a new auxiliary differential equation and its solutions are used to construct the exact traveling wave solutions, some new exact solutions for the high-order dispersive nonlinear Schrodinger equation are obtained which include bell profile solutions, kink profile solutions, triangular periodic solutions and singular solutions. This equation is used to describe the propagation of femtosecond optical pulses in fibers.
