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Quantum numbers of the pentaquark states Pc+ via symmetry analysis

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Communications in Theoretical Physics 2020年第12期72卷 145-151页

作者： Chong-yao Chen Muyang Chen Yu-Xin Liu Department of Physics and State Key Laboratory of Nuclear Physics and Technology Peking UniversityBeijing 100871China Collaborative Innovation Center of Quantum Matter Beijing 100871China Center for High Energy Physics Peking UniversityBeijing 100871China Department of Physics Hunan Normal UniversityChangsha 410081China

We investigate the quantum numbers of the pentaquark states Pc+,which are composed of 4(three flavors)quarks and an antiquark,by analyzing their inherent nodal structure in this *** that the four quarks form a tetrahedron or a square,and the antiquark is at the ground state,we determine the nodeless structure of the states with orbital angular moment L≤3,and in turn,the accessible low-lying *** the inherent nodal structure depends only on the inherent geometric symmetry,we propose the quantum numbers JPof the low-lying pentaquark states P_c^+may be■,■,■and■,independent of dynamical models.

关键词： pentaquark states exotic hadrons color confinement symmetry analysis

Lump,its interaction phenomena and conservation laws to a nonlinear mathematical model

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Journal of Ocean Engineering and Science 2022年第4期7卷 363-371页

作者： Abdullahi Yusuf Tukur Abdulkadir Sulaiman Evren Hincal Dumitru Baleanu Department of Computer Engineering Biruni UniversityIstanbulTurkey Department of Mathematics Near East University TRNCMersin 10Turkey Department of Mathematics Federal University DutseJigawaNigeria Department of Mathematics Cankaya UniversityAnkaraTurkey Institute of Space Sciences MagureleBucharestRomania Department of Medical Research China Medical University HospitalChina Medical UniversityTaichungTaiwan

We solve the Ostrovsky equation in the absence of the rotation effect using the Hirota bilinear method and symbolic *** unique interaction phenomena have been obtained between lump so-lution,breather wave,periodic wave,kink soliton,and two-wave *** the obtained solutions are validated by putting them into the original problem using the Wolfram Mathematica *** physical characteristics of the solutions have been visually represented to shed additional light on the acquired ***,using the novel conservation theory,the conserved vectors of the governing equation have been *** discovered results are helpful in understanding particular physical phenomena in fluid dynamics as well as the dynamics of nonlinear higher dimensional wave fields in computational physics and ocean engineering and related disciplines.

关键词： Lump solution New interaction phenomena Breather waves symmetry analysis Conservation laws

On certain new exact solutions of the Einstein equations for axisymmetric rotating fields

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Chinese Physics B 2013年第10期22卷 73-78页

作者： Lakhveer Kaur R.K.Gupta School of Mathematics and Computer Applications Thapar University

We investigate the Einstein field equations corresponding to the Weyl-Lewis-Papapetrou form for an axisymmetric rotating field by using the classical symmetry method. Using the invafiance group properties of the governing system of partial differential equations （PDEs） and admitting a Lie group of point transformations with commuting infinitesimal generators, we obtain exact solutions to the system of PDEs describing the Einstein field equations. Some appropriate canonical variables are characterized that transform the equations at hand to an equivalent system of ordinary differential equations and some physically important analytic solutions of field equations are constructed. Also, the class of axially symmetric solutions of Einstein field equations including the Papapetrou solution as a particular case has been found.

关键词： Einstein equations symmetry analysis exact solutions

Hall Effects on Unsteady Magnetohydrodynamic Flow of a Third Grade Fluid

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Chinese Physics Letters 2007年第5期24卷 1129-1132页

作者： K. Fakhar 徐振礼程艺 Interdisciplinary Center for Theoretical Study University of Science and Technology of China Hefei 230026 Department of Science in Engineering Faculty of Engineering International Islamic University Malaysia Jalan Gombak 53100 Kuala Lumpur Malaysia Department of Mathematics University of Science and Technology of China Hefei 230026

The unsteady magnetohydrodynamic flow of an electrically conducting viscous incompressible third grade fluid bounded by an infinite porous plate is studied with the Hall effect. An external uniform magnetic field is applied perpendicular to the plate and the fluid motion is subjected to a uniform suction and injection. Similarity transformations are employed to reduce the non-linear equations governing the flow under discussion to two ordinary differential equations （with and without dispersion terms）. Using the finite difference scheme, numerical solutions represented by graphs with reference to the various involved parameters of interest are discussed and appropriate conclusions are drawn.

关键词： 3RD GRADE FLUID symmetry analysis MAGNETIC-FIELD ROTATING-DISK POROUSPLATE COUETTE-FLOW SUCTION

Solitary and periodic wave solutions of(2+1)-dimensions of dispersive long wave equations on shallow waters

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Journal of Ocean Engineering and Science 2021年第3期6卷 292-298页

作者： A.A.Gaber Department of Mathematics College of Science and Human Studies at Hotat SudairMajmaah University11952Suadi Arab Department of Mathematics Faculty of EducationAin Shams UniversityRoxyHiliopolisCairoEgypt

In this investigation,the(2+1)-dimensions of dispersive long wave equations on shallow waters which are called Wu-Zhang(WZ)equations are studied by using symmetry *** system of partial differential equations are reduced to the type of system of ordinary differential *** exact solutions of ordinary differential equations are obtained by the general Kudryashov method[2].Exact solutions including singular wave,kink wave and anti-kink wave are *** figures are given to show the properties of the solutions.

关键词： symmetry analysis Exact solutions Generalized Kudryashov method.

Investigation of new solutions for an extended(2+1)-dimensional Calogero-Bogoyavlenskii-Schif equation

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Frontiers of Mathematics in China 2021年第4期16卷 925-936页

作者： Mohamed R.ALI R.SADAT Wen-Xiu MA Department of Mathematics Faculty of EngineeringBenha UniversityEgypt Department of Mathematics Zagazig Faculty of EngineeringZagazig UniversityZagazigEgypt Department of Mathematics Zhejiang Normal UniversityJinhua 321004China Department of Mathematics King Abdulaziz UniversityJeddah 21589Saudi Arabia Department of Mathematics and Statistics University of South FloridaTampaFL33620-5700USA School of Mathematics South China University of TechnologyGuangzhou 510640China School of Mathematical and Statistical Sciences North-West UniversityMafikeng CamusPrivate Bag X2046Mmabatho 2735South Africa

We investigate and concentrate on new infinitesimal generators of Lie symmetries for an extended(2+1)-dimensional Calogero-Bogoyavlenskii-Schif(eCBS)equation using the commutator table which results in a system of nonlinear ordinary differential equations(ODEs)which can be manually *** two stages of Lie symmetry reductions,the eCBS equation is reduced to non-solvable nonlinear ODEs using different combinations of optimal Lie *** the integration method and the Riccati and Bernoulli equation methods,we investigate new analytical solutions to those *** substituting to the original variables generates new solutions to the eCBS *** results are simulated through three-and two-dimensional plots.

关键词： Extended Calogero-Bogoyavlenskii-Schif(eCBS)equation Riccati-Bernoulli equation symmetry analysis integrating factor nonlinear integrable equations