检索结果-南通市图书馆

lie symmetry analysis,explicit solutions,and conservation laws of the time-fractional Fisher equation in two-dimensional space

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of Ocean Engineering and Science 2022年第4期7卷 345-352页

作者： Rawya Al-Deiakeh Omar Abu Arqub Mohammed Al-Smadi Shaher Momani Department of Mathematics Faculty of ScienceThe University of JordanAmman 11942Jordan Department of Mathematics Faculty of ScienceAl Balqa Applied UniversitySalt 19117Jordan Nonlinear Analysis and Applied Mathematics(NAAM)Research Group Department of MathematicsFaculty of ScienceKing Abdulaziz UniversityJeddah 21589Saudi Arabia Department of Applied Science Ajloun CollegeAl-Balqa Applied UniversityAjloun 26816Jordan Nonlinear Dynamics Research Center(NDRC) Ajman UniversityAjmanUnited Arab Emirates Department of Mathematics and Sciences College of Humanities and SciencesAjman UniversityAjmanUnited Arab Emirates

In these analyses,we consider the time-fractional Fisher equation in two-dimensional space.Through the use of the Riemann-Liouville derivative approach,the well-known lie point symmetries of the utilized equation are derived.Herein,we overturn the fractional fisher model to a fractional differential equation of nonlinear type by considering its lie point symmetries.The diminutive equation’s derivative is in the Erdélyi-Kober sense,whilst we use the technique of the power series to conclude explicit solutions for the diminutive equations for the first time.The conservation laws for the dominant equation are built using a novel conservation theorem.Several graphical countenances were utilized to award a visual performance of the obtained solutions.Finally,some concluding remarks and future recommendations are utilized.

关键词： Fractional partial differential equation Time-fractional Fisher equation Lie point symmetry Explicit power series Conservation laws

lie symmetry analysis, optimal system and conservation laws of a new(2+1)-dimensional KdV system

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2021年第8期73卷 41-49页

作者： Mengmeng Wang Shoufeng Shen Lizhen Wang Department of Applied Mathematics Zhejiang University of TechnologyHangzhou 310023China Center for Nonlinear Studies School of MathematicsNorthwest UniversityXi'an 710127China

In this paper, lie point symmetries of a new(2+1)-dimensional KdV system are constructed by using the symbolic computation software Maple. Then, the one-dimensional optimal system,associated with corresponding lie algebra, is obtained. Moreover, the reduction equations and some explicit solutions based on the optimal system are presented. Finally, the nonlinear selfadjointness is provided and conservation laws of this KdV system are constructed.

关键词： Lie point symmetry optimal system symmetry reduction exact solution conservation law

Painlevéanalysis,infinite dimensional symmetry group and symmetry reductions for the(2+1)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramani equation

在线全文

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2023年第8期75卷 63-68页

作者： Bo Ren Ji Lin Wan-Li Wang Department of Mathematics Zhejiang University of TechnologyHangzhou 310014China Department of Physics Zhejiang Normal UniversityJinhua 321004China

The(2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani(KdVSKR)equation is studied by the singularity structure analysis.It is proven that it admits the Painlevéproperty.The lie algebras which depend on three arbitrary functions of time t are obtained by the Lie point symmetry method.It is shown that the KdVSKR equation possesses an infinite-dimensional Kac–Moody–Virasoro symmetry algebra.By selecting first-order polynomials in t,a finite-dimensional subalgebra of physical transformations is studied.The commutation relations of the subalgebra,which have been established by selecting the Laurent polynomials in t,are calculated.This symmetry constitutes a centerless Virasoro algebra which has been widely used in the field of physics.Meanwhile,the similarity reduction solutions of the model are studied by means of the Lie point symmetry theory.

关键词： KdVSKR equation Painleve analysis Lie point symmetry Kac-Moody-Virasoro algebra

A symmetry-preserving difference scheme for high dimensional nonlinear evolution equations

在线全文

学校读者我要写书评

暂无评论

Chinese Physics B 2013年第6期22卷 99-104页

作者：辛祥鹏陈勇王云虎 Shanghai Key Laboratory of Trustworthy Computing East China Normal University

In this paper, a procedure for constructing discrete models of the high dimensional nonlinear evolution equanons is presented. In order to construct the difference model, with the aid of the potential system of the original equation and compatibility condition, the difference equations which preserve all lie point symmetries can be obtained. As an example, invariant difference models of the （2＋1）-dimensional Burgers equation are presented.

关键词： symmetry-preserving potential systems difference equation Lie point symmetry

General exact solution of the fin problem with variable thermal conductivity

在线全文

学校读者我要写书评

暂无评论

Propulsion and Power Research 2016年第1期5卷 63-69页

作者： Abass H.Abdel Kader Mohamed S.Abdel Latif Hamed M.Nour Engineering Mathematics and Physics Department Faculty of EngineeringMansoura UniversityMansoura 35516Egypt

In this paper,Lie point symmetry method is used to obtain the general exact solution of the second order nonlinear ordinary differential equation which goveming heat transfer in rectangular fin with variable thermal conductivity.Some new forms of thermal conductivity are introduced and the associated exact solution is obtained in each case.The general relation among the fin efficiency,thermal conductivity and thermo-geometric parameter is obtained.

关键词： Exact solution Fin Thermal conductivity Heat transfer Lie point symmetry

Noether conserved quantities and lie point symmetries for difference nonholonomic Hamiltonian systems in irregular lattices

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Chinese Physics B 2012年第7期21卷 19-25页

作者：夏丽莉陈立群 Shanghai Institute of Applied Mathematics and Mechanics Department of Physics Henan Institute of Education Department of Mechanics Shanghai University

The Noether conserved quantities and the lie point symmetries for difference nonholonomic Hamiltonian systems in irregular lattices are studied. The generalized Hamiltonian equations of the systems are given on the basis of the transformation operators in the space of discrete Hamiltonians. The lie transformations acting on the lattice, as well as the equations and the determining equations of the lie symmetries are obtained for the nonholonomic Hamiltonian systems. The discrete analogue of the Noether conserved quantity is constructed by using the lie point symmetries. An example is discussed to illustrate the results.

关键词： discrete nonholonomic Hamiltonian systems Lie point symmetry Noether conservedquantity

Noether conserved quantities and lie point symmetries of difference Lagrange-Maxwell equations and lattices

在线全文

学校读者我要写书评

暂无评论

Chinese Physics B 2009年第7期18卷 2634-2641页

作者：傅景礼聂宁明黄健飞 Jiménez Salvador 唐贻发 Vzquez Luis 赵维加 Institute of Mathematical Physics Zhejiang Sci-Tech University State Key Laboratory of Scientific and Engineering Computing ICMSECAcademy of Mathematics and Systems ScienceChinese Academy of Sciences Department of Mathematics Qingdao University Departamento de Matema'tica Aplicada TTII E.T.S.I.Telecomunicacio'nUniversidad Polit'ecnica de Madrid28040-MadridSpain Departamento de Matemática Aplicada Facultad de MatemáticasInstituto de Matemática Interdisciplinar(IMI)Universidad Complutense de Madrid28040-MadridSpain Departamento de Matemática Aplicada Facultad de InformáticaInstituto de Matemática Interdisciplinar(IMI)Universidad Complutense de Madrid28040-MadridSpain

This paper presents a method to find Noether-type conserved quantities and lie point symmetries for discrete mechanico-electrical dynamical systems,which leave invuriant the set of solutions of the corresponding difference scheme. This approach makes it possible to devise techniques for solving the Lagrange Maxwell equations in differences which correspond to mechanico-electrical systems,by adapting existing differential equations.In particular,it obtains a new systematic method to determine both the one-parameter lie groups and the discrete Noether conserved quantities of lie point symmetries for mechanico-electrical systems.As an application,it obtains the lie point symmetries and the conserved quantities for the difference equation of a model that represents a capacitor microphone.

关键词： Lagrange Maxwell equation Lie point symmetry discrete mechanico-electrical system conserved quantity

lie point Symmetries of Differential-Difference Equations

在线全文

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2004年第5期41卷 645-648页

作者： DING Wei~1 TANG Xiao-Yan~(2,3) 1 Department of Applied Mathematics,Shanghai Jiao Tong University,Shanghai 200030,China2 Department of Physics,Shanghai Jiao Tong University,Shanghai 200030,China3 State Key Laboratory of Scientific and Engineering Computing,Institute of Computational Mathematics and Scientific Engineering Computing,Academy of Mathematics and System Sciences,the Chinese Academy of Sciences,P.O.Box 2719,Beijing 100080,China Department of Applied Mathematics Shanghai Jiao Tong University Shanghai 200030 China Department of Physics Shanghai Jiao Tong University Shanghai 200030 China State Key Laboratory of Scientific and Engineering Computing Institute of Computational Mathematics and Scientific Engineering Computing Academy of Mathematics and System Sciences the Chinese Academy of Sciences P.O. Box 2719 Beijing 100080 China

In this paper,the classical lie group approach is extended to find some lie point symmetries of differential-difference equations.It reveals that the obtained lie point symmetries can constitute a Kac-Moody-Virasoro a... 详细信息

关键词： Lie point symmetry differential-difference equation Kac Moody-Virasoro algebra

Finite symmetry transformation groups and exact solutions of Lax integrable systems

在线全文

同方期刊数据库

学校读者我要写书评

暂无评论

Chinese Physics B 2005年第8期14卷 1495-1500页

作者：马红彩楼森岳 DepartmentofPhysics ShanghaiJiaotongUniversityShanghai200030China//DepartmentofMathematicsDonghuaUniversityShanghai200051China DepartmentofPhysics ShanghaiJiaotongUniversityShanghai200030China//DepartmentofPhysicsNingboUniversityNingbo31.5211China

In this paper, the finite symmetry transformation groups and then symmetries of Lax integrable nonlinear physical systems, the Davey-Stewartson equation and the (2+1)-dimensional Camassa-Holm equation are investigated... 详细信息

关键词： finite transformations Lie point symmetry Lax pair integrable