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Symmetry-resolved entanglement entropy, spectra & boundary conformal field theory
We perform a comprehensive analysis of the symmetry-resolved (SR) entanglement entropy (EE) for one single interval in the ground state of a 1 + 1D...
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Lie groups, singularities and solutions of nonlinear partial differential equations
It is shown how Lie group and Lie algebra theory can be used to solve partial differential equations. A method for calculating the symmetry group of...
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A study of self-adjointness, Lie analysis, wave structures, and conservation laws of the completely generalized shallow water equation
This article explores the analysis of the completely generalized Hirota–Satsuma–Ito equation through Lie symmetry analysis. The equation under...
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Generalized symmetries as homotopy Lie algebras
Homotopy Lie algebras are a generalization of differential graded Lie algebras encoding both the kinematics and dynamics of a given field theory....
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Optimal system, dynamical behaviors and exact solution of a nonlinear transmission line model by applying the Lie symmetry method
Transmission lines are used for purposes such as connecting radio transmitters and receivers with their antennas, distributing cable television...
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Lie symmetry transformation, conservation laws and nonlinear self-adjointness of (2+1)-dimensional Date–Jimbo–Kashiwara–Miwa equation
In the present letter, we have derived some group invariant solutions of (2+1)-dimensional Date–Jimbo–Kashiwara–Miwa equation (DJKM). Using the Lie...
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Symmetry-based study and dynamics of casual bulk viscous matter-dominated universe
The dynamics of cosmological expansion is studied for a spatially flat matter-dominated universe filled with barotropic casual bulk viscous fluid....
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On quantum Poisson-Lie T-duality of WZNW models
We study Poisson-Lie T-duality of the Wess-Zumino-Novikov-Witten (WZNW) models which are obtained from a class of Drinfel’d doubles and its...
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Simply Complete Hom-Lie Superalgebras and Decomposition of Complete Hom-Lie Superalgebras
Complete hom-Lie superalgebras are considered and some equivalent conditions for a hom-Lie superalgebra to be a complete hom-Lie superalgebra are...
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Symmetry and Conservation Laws
This chapter introduces the general concept of symmetry in both classical and quantum physics. The part devoted to classical physics stresses the...
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Analysis of Lie invariance, analytical solutions, conservation laws, and a variety of wave profiles for the (2+1)-dimensional Riemann wave model arising from ocean tsunamis and seismic sea waves
Nonlinear phenomena are common in nonlinear sciences and physical engineering, such as ocean engineering and marine physics, as well as fluid...
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Lie Symmetry and Exact Solution of the Time-Fractional Hirota–Satsuma Korteweg–de Vries System
AbstractIn the present work, we consider the nonlinear time-fractional Hirota-Satsuma KdV (Korteweg-de Vries) system in the sense of the...
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Lie vector fields, conservation laws, bifurcation analysis, and Jacobi elliptic solutions to the Zakharov–Kuznetsov modified equal-width equation
The present paper intends to thoroughly study an evolutionary model called the Zakharov–Kuznetsov modified equal-width (ZK–MEW) equation. More...
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Symmetry Restoration Methods
Symmetry techniques based on group theory play a prominent role in the analysis of nuclear phenomena and in particular in the understanding of...
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Lie group analysis with the optimal system, generalized invariant solutions, and an enormous variety of different wave profiles for the higher-dimensional modified dispersive water wave system of equations
In this work, the method of the Lie group of invariance is used to explore a (2+1)-dimensional modified dispersive water wave (mDWW) system of...
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Lie symmetry analysis and exact solution of \((2+1)\)-dimensional nonlinear time-fractional differential-difference equations
The invariant analysis of time-fractional nonlinear differential-difference equations and determination of their exact solutions using the Lie...
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Lie symmetries, soliton dynamics, conservation laws and stability analysis of Bogoyavlensky–Konoplechenko system
Nonlinear waves are pivotal in analyzing the propagation of electromagnetic waves and the dynamics of oceanic systems. These waves are indispensable...
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Noether symmetry analysis in scalar tensor cosmology: a study of classical and quantum cosmology
The present work deals with a complex scalar field in scalar tensor gravity theory in the background of spatially flat Friedmann–Lema
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Non-classical Lie symmetry and conservation laws of the nonlinear time-fractional Kundu–Eckhaus (KE) equation
This work provides an analytical investigation of the time-fractional Kundu–Eckhaus (KE) equation. We use the symmetry of the Lie group as an...
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Lie symmetry analysis, optimal system and invariant solutions of (3+1)-dimensional nonlinear wave equation in liquid with gas bubbles
In this manuscript, we investigate the (3+1)-dimensional nonlinear wave equation in liquid with gas bubbles. It describes the dynamics of nonlinear...
