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Advanced Materials, EarlyView.Coupling a dual‐gradient carbonized framework with Fe2O3/Fe‐N‐C catalytic sites enables spatially synchronized sulfur redox across the entire electrode thickness in high‐mass‐loading Li–S batteries. This synergistic structural–catalytic design effectively mitigates concentration, ohmic, and electrochemical polarization, thereby achieving high‐capacity ...
Yuxuan Zhang +6 more
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Lie symmetry analysis of time fractional differential equations
Lie symmetry analysis of time fractional differential equationsopenaire
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Lie symmetry analysis of Burgers‐type systems
Mathematical Methods in the Applied Sciences, 2017Lie group classification for 2 Burgers‐type systems is obtained. Systems contain 2 arbitrary elements that depend on the 2 dependent variables. Equivalence transformations for the systems are derived. Examples of nonclassical reductions are given. A Hopf‐Cole–type mapping that linearizes a nonlinear system is presented.
Kontogiorgis, Stavros +3 more
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Lie Symmetry Analysis of Differential Equations in Finance
Nonlinear Dynamics, 1998The Black-Schole equation \(u_t+\frac{1}{2} A^2x^2u_{xx}+ Bxu_x-Cu=0\) and Jacobs-Jones equation \(u_t=\frac{1}{2} A^2x^2u_{xx}+ ABCxyu_{xy}+ \frac{1}{2}B^2y^2u_{yy} +(Dx\ln\frac{y}{x}- Ex^{3/2})u_x+ (Fy\ln\frac{G}{y}- Hyx^{1/2})u_y-xu\) are investigated in this paper.
Gazizov, R. K., Ibragimov, N. H.
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Lie symmetry analysis of the Heisenberg equation
Communications in Nonlinear Science and Numerical Simulation, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhao, Zhonglong, Han, Bo
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Lie and Noether symmetry analysis in Brans–Dicke cosmology
Modern Physics Letters A, 2018This paper is aimed to study the group invariant solutions of the evolution equations in Brans–Dicke cosmology. In this context, we have considered the flat homogeneous Brans–Dicke (BD) scalar field in the background of flat homogeneous and isotropic Friedmann–Lemaître–Robertson–Walker (FLRW) cosmological model and have used Lie and Noether symmetry ...
Dutta, Sourav, Mondal, Santu
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A Lie Symmetry Analysis of the Caldeira-Leggett Model
Open Systems & Information Dynamics, 2010An important model in the theory of open quantum systems is the Caldeira-Leggett quantum Brownian motion model for the behaviour of a massive quantum particle weakly interacting with a bath of harmonic oscillators. The model is formulated in terms of a (1 + 2) dimensional partial differential equation (PDE) for the reduced density matrix of the ...
Naicker, V., Petruccione, F.
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Lie symmetry analysis of the deformed KdV equation
Modern Physics Letters B, 2017The deformed KdV equation is a generalization of the classical equation that can describe the motion of the interaction between different solitary waves. In this paper, the Lie symmetry analysis is performed on the deformed KdV equation. The similarity reductions and exact solutions are obtained based on the optimal system method.
Yehui Huang +3 more
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