本文選題：無色散BKP方程族 + 推廣��； 參考：《數(shù)學(xué)物理學(xué)報(bào)》2017年02期

【摘要】：該文通過對B類Kadomtsev-Petviashvili(B type of Kadomtsev-Petviashvili,簡稱為BKP)方程族基于特征函數(shù)及共軛特征函數(shù)表示的對稱約束取無色散極限,得到無色散BKP(dispersionless BKP,簡稱為dBKP)方程族的對稱約束;其次,基于dBKP方程族的對稱約束,考察了dBKP方程族的推廣問題.通過計(jì)算推廣的dBKP方程族的零曲率方程,該文導(dǎo)出了第一、二類型的帶自相容源的dBKP方程(dispersionless BKP equation with selfconsistent sources,簡稱為dBKPESCS)及其相應(yīng)的守恒方程.最后,利用速端變換及約化的方法求解了第一型dBKPESCS.
[Abstract]:In this paper, the symmetric constraints of class B Kadomtsev-Petviashvili(B type of Kadomtsev-Petviashvili equations based on eigenfunction and conjugate eigenfunction are obtained, and the symmetric constraints of the class B Kadomtsev-Petviashvili(B type of Kadomtsev-Petviashvili equations are obtained. Based on the symmetric constraints of the dBKP equation family, the extension of the dBKP equation family is investigated. By calculating the zero curvature equations of the generalized dBKP equation family, the first and second types of dBKP equation with self-compatible source are derived in this paper. The BKP equation with selfconsistent sources, is called dBKPESCS for short) and its corresponding conservation equations are derived. Finally, the first type dBKPESCSs are solved by the method of fast end transformation and reduction.
【作者單位】： 集美大學(xué)理學(xué)院數(shù)學(xué)系;清華大學(xué)數(shù)學(xué)科學(xué)系;
【基金】：國家自然科學(xué)基金(11201178) 福建省出國留學(xué)獎學(xué)金和集美大學(xué)科研啟動基金~~
【分類號】：O175.29
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本文編號：1972011