與一個(gè)約化的四階特征值問題相關(guān)的發(fā)展方程族及Lax表示.pdf

1、河北工業(yè)大學(xué)碩士學(xué)位論文與一個(gè)約化的四階特征值問題相關(guān)的發(fā)展方程族及Lax表示姓名：黨京娜申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：顧祝全20081201L , ? T K b : { L o x q S ? + b } d ? B ? ^ Lax * ?THE EVOLUTION EQUATION HIERARCHY AND LAX PAIRSRELATED TOTHE REDUCED FOURTH-ORDER EIGENVALUE

2、PROBLEMABSTRACTIn this paper,we discuss the 4th-order eigenvalue problem L? =(?4 ? q?2 ? ?p + r)? = λ?, then work out the functional gradient of theeigenvalue problem,and define reasonable Hamilton operators and recursiv

3、esequence of Lenard,thus obtained the eigenvalue problem corresponding tothe evolution equations and Lax pairs.KEY WORDS: eigenvalue problem , functional gradient, Hamilton oper-ator, recursive sequence of Lenard, evolut