個(gè)人簡(jiǎn)介
專(zhuān)業(yè)是系統(tǒng)理論,研究方向?yàn)榉蔷性數(shù)學(xué)物理及符號(hào)計(jì)算,主要應(yīng)用符號(hào)計(jì)算研究數(shù)學(xué)、物理以及海洋大氣方面方程的精確解或近似解,并對(duì)所得解進(jìn)行動(dòng)力學(xué)行為分析。
主要工作
1.利用經(jīng)典李群方法、CK直接方法以及樓森岳教授提出的推廣的直接方法等研究方程的對(duì)稱(chēng)、守恒律、群不變解的最優(yōu)系統(tǒng)及對(duì)稱(chēng)約化求解,利用群不變解的最優(yōu)系統(tǒng)來(lái)約化求解方程,不但充分地體現(xiàn)了群不變解的最優(yōu)系統(tǒng)的應(yīng)用價(jià)值,而且指出了利用對(duì)稱(chēng)研究具有有限維李代數(shù)的微分方程的一種有效方法;
2.參與樓森岳教授主持的究國(guó)家自然科學(xué)基金重點(diǎn)項(xiàng)目《災(zāi)害性天氣和氣候研究的數(shù)學(xué)物理問(wèn)題》,主要研究?jī)蓚(gè)兩層大氣模型,并取得很好結(jié)果,所得精確解可以描述臺(tái)風(fēng)結(jié)構(gòu),且首次發(fā)現(xiàn)解表現(xiàn)出臺(tái)風(fēng)的正壓或斜壓模式下非對(duì)稱(chēng)結(jié)構(gòu)的雙眼壁結(jié)構(gòu);
3.利用同倫攝動(dòng)方法研究幾類(lèi)方程的近似計(jì)算,把初值問(wèn)題和近似計(jì)算相結(jié)合結(jié)合,通過(guò)選取不同的初值得到方程不同類(lèi)型的解,特別地,選取適當(dāng)?shù)某踔悼梢郧蟪龇匠痰亩喙伦咏狻?/p>
近五年在《Z. Naturforsch.》、《Nonlinear Anal.》、《Chin. Phys. B》、《Commun. Theor. Phys.》等國(guó)內(nèi)外專(zhuān)業(yè)期刊發(fā)表論文10篇。
發(fā)表論文
[1] Dong Zhongzhou, Chen Yong, Symmetry Reduction, Exact Solutions and Conservation Laws of the (2+1)-Dimensional Dispersive Long Wave Equations, Z. Naturforsch., 64a, 2009, 597-603(SCI收錄號(hào):000272276100009)
[2] Dong Zhongzhou, Huang Fei, Chen Yong, Symmetry Reductions and Exact Solutions of Two-Layer Model in Atmosphere, Z. Naturforsch., 2011, 66a, 75-86(SCI收錄號(hào):000288056400012)
[3] Dong Zhongzhou, Chen Yong, Symmetry Reduction and Exact Solutions of the (3+1)-Dimensional Zakharov-Kuznetsov Equation, Chin. Phys. B, 19(9), 2010, 090205(SCI收錄號(hào):000282186400011)
[4] Dong Zhongzhou, Chen Yong, Wang Ling, Similarity Reductions of (2+1)- Dimensional Multi-component Broer-Kaup System, Commun. Theor. Phys., 50(4), 2008, 803-808(SCI收錄號(hào):000260450600002)
[5] Dong Zhongzhou, Chen Yong, Symmetry Reductions and Exact Solutions of Blaszak- Marciniak Four-Field Lattice Equation, Commun. Theor. Phys., 54(3), 2010, 389-392
[6] Chen Yong, Dong Zhongzhou, Symmetry reduction and exact solutions of the generalized Nizhnik-Novikov-Veselov equation, Nonlinear Anal., 71(12), 2009, e810-e817(SCI收錄號(hào):000277952800254)
[7] Hu Xiaorui, Dong Zhongzhou, Huang Fei and Chen Yong, Symmetry Reductions and Exact Solutions of the (2+1)-Dimensional Navier-Stokes Equations, Z. Naturforsch., 65a, 2010, 504-510
[8] Wang Ling, Liu Xiqiang, Dong Zhongzhou, Study of the (2+1)-Dimensional Higher- Order Broer-Kaup System, Commun. Theor. Phys., 47(3), 2007, 403-408(SCI收錄號(hào):000245199500005)
[9] Wang Ling, Dong Zhongzhou, Liu Xiqiang, Symmetry reductions, exact solutions and conservation laws of asymmetric Nizhnik-Novikov- Veselov equation, Commun. Theor. Phys., 49(1), 2008, 1-8(SCI收錄號(hào):000252640100001)
[10] Wang Ling, Dong Zhongzhou, Symmetry Reduction and Exact Solutions of the (3+1)- Dimensional Breaking Soliton Equation, Commun. Theor. Phys., 50(4), 2008, 832-840(SCI收錄號(hào):000260450600007)
科研項(xiàng)目
1.國(guó)家自然科學(xué)基金項(xiàng)目:非線性物理學(xué)中若干機(jī)械化算法的研究(編號(hào):11075055),時(shí)間:2011.1—2013.12,在研,參與第三
2.河南理工大學(xué)博士基金項(xiàng)目:對(duì)稱(chēng)約化在某些非線性方程中的應(yīng)用(編號(hào):B2011-006),時(shí)間:2011.1—2014.12,在研,主持