江苏师范大学学报(自然科学版)
江囌師範大學學報(自然科學版)
강소사범대학학보(자연과학판)
Journal of Xuzhou Normal University(Natural Science Edition)
2013年
4期
11-17
,共7页
负向4位势Ablowitz-Ladik等谱方程%Wronskian技巧%双Casorati行列式
負嚮4位勢Ablowitz-Ladik等譜方程%Wronskian技巧%雙Casorati行列式
부향4위세Ablowitz-Ladik등보방정%Wronskian기교%쌍Casorati행렬식
negative order four-potential isospectral Ablowitz-Ladik equation%Wronskian technique%double Casorati determinant
借助Wronskian技巧得到负向4位势Ablowitz-Ladik等谱方程的双Casoratian解,并给出了一些双Casorati行列式解的具体表达式。进一步地,通过构造双 Casorati 行列式元素的矩阵方法推导出该方程的广义双Casoratian解。
藉助Wronskian技巧得到負嚮4位勢Ablowitz-Ladik等譜方程的雙Casoratian解,併給齣瞭一些雙Casorati行列式解的具體錶達式。進一步地,通過構造雙 Casorati 行列式元素的矩陣方法推導齣該方程的廣義雙Casoratian解。
차조Wronskian기교득도부향4위세Ablowitz-Ladik등보방정적쌍Casoratian해,병급출료일사쌍Casorati행렬식해적구체표체식。진일보지,통과구조쌍 Casorati 행렬식원소적구진방법추도출해방정적엄의쌍Casoratian해。
The double Casoratian solutions of a negative order four-potential isospectral Ablowitz-Ladik equation are obtained through the Wronskian technique .Some solutions in double Casorati determinant form are presented explic-itly as examples .Furthermore ,the generalized double Casoratian solution is found via a matrix method for construc-ting double Casoratian entries .