【摘 要】
：
Partial differential equation ut-utxx=u-3 is considered.Symmetry group [1] of this equation was found and its Lie algebra has basis [2] Y1=(6)t,Y2=T(6)t+t(6
【机 构】
：
ChelyabinskStateUniversity
【出 处】
：
The 5th International Conference on Nonlinear Science and Co
论文部分内容阅读
Partial differential equation ut-utxx=u-3 is considered.Symmetry group [1] of this equation was found and its Lie algebra has basis [2] Y1=(6)t,Y2=T(6)t+t(6)t+u/4(6)u,Y3=(6)x,Y4=1/2(e2x(6)x+e2xu(6)u),Y5=1/2(e-2x(6)x-e-2xu(6)u).This algebra is straight sum of two ideals〈Y1,Y2〉(+)〈Y3,Y4,Y5〉.The first ideal is algebra Lie for affine group of transformations R and the second ideal is algebra for special linear group SL(2)of transformations projective line.Optimal system of subalgebras[3] is constructed for this algebra.Invariant solutions of equation are found for one-dimensional subalgebras.
其他文献
本文在冷模实验的基础上,建立了喷动床的热模实验装置,并对反应条件进行了热力学模拟.並得到如下结论:1.升高温度、降低压力有利于生成合成气的反应;2.在高温、高压条件下,反
In this talk I will discuss the problems related to anomalous transport and stickiness in low dimensional Hamiltonian systems.We first introduce an exponent
In this paper,the Rayleigh principle for nonlinear vibratory systems is reformulated via the concept of nonlinear normal modes(NNMs).Being different from th
In order to solve the high order fatigue test problem of thin plate composite structure with hard coating,a new test method and its technological process is
该文首先在自制的间歇式高压反应釜中,探讨了在纯的温和SCW中,对煤系高温焦油进行轻质化改质,制取轻质液体油品和萘、菲等高附加值有机化学品的可能性,并与传统的焦油常压热
该文利用国际著名的模拟软件ASPEN PLUS,研究和开发了一套针对这一新工艺的分离精制系统,这同时也是将过程模拟技术应用领域拓展到精细化工行业新的尝试.该文针对乙酸异丙酯
南昌链霉菌的次级代谢产物梅岭霉素是一个有自主知识产权的十六元大环内酯类抗生素.具有结构新颖、广谱、高效、低残留的特点.首先建立梅岭霉素的化学检测方法--反相高压液相
This study investigates non-linear dynamic scaling laws of the rotating thin-wall short cylindrical shell.The study is significant that it guides the design
针对目前缺乏填料塔在高液体负荷下操作的实验数据和消化吸收引进装置的迫切需要,该文系统地研究了梅花扁环等新型填料的流体力学和传质性能.该文从理论上分析了高液体负荷下
蜘蛛是众多植食性昆虫的天敌,在生态系统中具有不可替代的作用,对于湿地生态系统的健康和稳定亦有重要贡献。本研究以长江口崇明岛西部湿地为研究基地,在采集、鉴定并整理完