本文選題：變分導(dǎo)數(shù)　切入點(diǎn)：非線性Compacton　出處：《內(nèi)蒙古大學(xué)學(xué)報(bào)(自然科學(xué)版)》2017年05期 　論文類型：期刊論文

【摘要】：借助吳方法和Maple符號(hào)計(jì)算系統(tǒng),利用變分導(dǎo)數(shù)方法和乘子策略構(gòu)造等離子物理中的一類非線性Compacton ZK方程的守恒律.首先,基于變分導(dǎo)數(shù)方法確定ZK方程的乘子集;其次,利用乘子策略推出ZK方程的守恒律.值得一提的是:導(dǎo)出ZK方程的無窮多個(gè)乘子及其對(duì)應(yīng)的守恒律,這對(duì)揭示該方程的相關(guān)屬性方面具有重要意義.
[Abstract]:The conservation laws of a class of nonlinear Compacton ZK equations in plasma physics are constructed by the variational derivative method and the multiplier strategy with the help of Wu's method and the Maple symbolic computing system. Firstly, the multiplicator set of the ZK equation is determined based on the variational derivative method, and the second is the conservation law of the nonlinear Compacton ZK equation in plasma physics. The conservation law of ZK equation is derived by means of multiplier strategy. It is worth mentioning that infinitely many multipliers of ZK equation and their corresponding conservation laws are derived, which is of great significance in revealing the related properties of the equation.
【作者單位】： 內(nèi)蒙古工業(yè)大學(xué)理學(xué)院;呼和浩特民族學(xué)院數(shù)學(xué)系;內(nèi)蒙古大學(xué)數(shù)學(xué)科學(xué)學(xué)院;
【基金】：國家自然科學(xué)基金項(xiàng)目(No.11661034) 內(nèi)蒙古高等學(xué)校科學(xué)研究項(xiàng)目(No.NJZZ16279,No.NJZY13268) 內(nèi)蒙古自治區(qū)青年創(chuàng)新人才支持項(xiàng)目 內(nèi)蒙古自治區(qū)人才開發(fā)基金支持項(xiàng)目 呼和浩特民族學(xué)院科技創(chuàng)新團(tuán)隊(duì)建設(shè)資助項(xiàng)目(No.CXTD1402)資助
【分類號(hào)】：O175.29
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本文編號(hào)：1645940