supported by the National Natural Science Foundation of China(Grant Nos.12134020 and 12374156);the National Key Research and Development Program of China(Grant No.2023YFA1406500)。
Deconfined quantum critical points(DQCPs)have been proposed as a class of continuous quantum phase transitions occurring between two ordered phases with distinct symmetry-breaking patterns,beyond the conventional fram...
supported by the National Natural Science Foun-dation of China(62301596 and 62288101);Shaanxi Provincial Science and Technology Innovation Team(23-CX-TD-48);the KU Leuven internal funds:the C1 Project(C14/19/083);the Interdisciplinary Network Project(IDN/20/014);the Small Infrastructure Grant(KA/20/019);the Research Foundation of Flanders(FWO)Project(G090017N,G088822N,and V408823N);the Danish National Research Foundation(DNRF165).
Optical singularities are topological defects of electromagnetic fields;they include phase singularity in scalar fields,polarization singularity in vector fields,and three-dimensional(3D)singularities such as optical ...
Supported by the National Natural Science Foundation of China (12172241, 12272248);the Qing Lan Project of Colleges and Universities in Jiangsu Province。
Singular systems within combined fractional derivatives are established.Firstly,the fractional Lagrange equation is analyzed.Secondly,the fractional primary constraint is given.Thirdly,the Noether and Lie symmetry met...
supported by the New Cornerstone Science Foundation through the XPLORER Prize,the Hong Kong Jockey Club Charities Trust and the Hong Kong Research Grants Council through Grant No.N_HKU750/22.
The concepts of parity-time(PT)symmetry[1]and its conjugate,anti-PT(APT)symmetry[2],have led to opportunities for studying new and captivating wave dynamics.Incorporating non-Hermitian potentials,such as fine-tailored...
supported by the National Natural Science Foundation of China(Grant Nos.61888102 and 12274447);the National Key Research and Development Program of China(Grant Nos.2021YFA1202900 and 2023YFA1407000);the KeyArea Research and Development Program of Guangdong Province,China(Grant No.2020B0101340001);the Guangdong Major Project of Basic and Applied Basic Research(Grant No.2021B0301030002);the Strategic Priority Research Program of Chinese Academy of Sciences(CAS)(Grant No.XDB0470101)。
Hall effects have been the central paradigms in modern physics,materials science and practical applications,and have led to many exciting breakthroughs,including the discovery of topological Chern invariants and the r...
Supported by the National Natural Science Foundation of China (12172241, 12272248, 11972241, 12002228);Qing Lan Project of Colleges and Universities in Jiangsu Province。
Time scale is a new and powerful tool for dealing with complex dynamics problems. The main result of this study is the exact invariants and adiabatic invariants of the generalized Birkhoffian system and the constraine...
The authors would like to thank the Deanship of Scientific Research at Majmaah University for supporting this work under Project R-2022-178.
In this research article,the(3+1)-dimensional nonlinear Gardner-Kadomtsov-Petviashvili(Gardner-KP)equation which depicts the nonlinear modulation of periodic waves,is analyzed through the Lie group-theoretic technique...
sponsored by the National Natural Science Foundation of China(Nos.12235007,11975131)。
A new type of symmetry,ren-symmetry,describing anyon physics and corresponding topological physics,is proposed.Ren-symmetry is a generalization of super-symmetry which is widely applied in super-symmetric physics such...
UGC for providing financial support in the form of the JRF fellowship via letter NTA Ref.No.:201610006334;the financial support provided under the scheme‘Fund for Improvement of S&T Infrastructure(FIST)’of the Department of Science&Technology(DST),Government of India via letter No.SR/FST/MS-I/2021/104 to the Department of Mathematics and Statistics,Central University of Punjab。
In this paper,the non-static solutions for perfect fluid distribution with plane symmetry in f(R,T)gravitational theory are obtained.Firstly,using the Lie symmetries,symmetry reductions are performed for considered ve...
In this paper,we consider the(2+1)-dimensional Chaffee-Infante equation,which occurs in the fields of fluid dynamics,high-energy physics,electronic science etc.We build Bäcklund transformations and residual symmetries...