泉州师范学院学报
泉州師範學院學報
천주사범학원학보
JOURNAL OF QUANZHOU NORMAL COLLGEG
2012年
4期
5-9
,共5页
非线性Schrdinger方程%辛格式%电荷守恒律%能量守恒律
非線性Schrdinger方程%辛格式%電荷守恆律%能量守恆律
비선성Schrdinger방정%신격식%전하수항률%능량수항률
nonlinear Schrdinger equation%symplectic scheme%charge conservation law%energy conservation law
验证了带五次项的非线性Schrdinger方程满足电荷守恒律和能量守恒律,讨论了该方程的Hamilton形式,并构造了它的单辛格式,最后用数值实验验证了该格式具有长时间的数值模拟能力.
驗證瞭帶五次項的非線性Schrdinger方程滿足電荷守恆律和能量守恆律,討論瞭該方程的Hamilton形式,併構造瞭它的單辛格式,最後用數值實驗驗證瞭該格式具有長時間的數值模擬能力.
험증료대오차항적비선성Schrdinger방정만족전하수항률화능량수항률,토론료해방정적Hamilton형식,병구조료타적단신격식,최후용수치실험험증료해격식구유장시간적수치모의능력.
In this paper,we prove that the nonlinear Schrdinger equation involving quintic term satisfy of charge conservation law and energy conservation law,we consider the Hamilton form of it,and construct single symplectic scheme,last we prove that the symplectic scheme is capable of simulating the original in a long time by numerical experiment.
