Results 51 to 60 of about 123,609 (284)
Lie point symmetries of differential–difference equations [PDF]
17 pages, 1 ...
LEVI, Decio, Winternitz P, Yamilov RI
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ABSTRACT Chimeric antigen receptor (CAR) T‐cell therapy has been investigated in neurological diseases, encompassing both central nervous system malignancies and autoimmune disorders, thereby extending its application beyond hematological cancers.
Omar Alqaisi +5 more
wiley +1 more source
Third-Order Conditional Lie–Bäcklund Symmetries of Nonlinear Reaction-Diffusion Equations
The third-order conditional Lie–Bäcklund symmetries of nonlinear reaction-diffusion equations are constructed due to the method of linear determining equations.
Keqin Su, Jie Cao
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The classifications and reductions of radially symmetric diffusion system are studied due to the conditional Lie-Bäcklund symmetry method. We obtain the invariant condition, which is the so-called determining system and under which the radially symmetric
Jianping Wang +4 more
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Continuous Symmetries of Difference Equations
Lie group theory was originally created more than 100 years ago as a tool for solving ordinary and partial differential equations. In this article we review the results of a much more recent program: the use of Lie groups to study difference equations ...
Ablowitz M J +154 more
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Objective Sjögren's disease is an autoimmune disorder that can impact multiple organ systems, including the peripheral nervous system (PNS). PNS manifestations, which can exist concurrently, include mononeuropathies, polyneuropathies, and autonomic nervous system neuropathies.
Anahita Deboo +88 more
wiley +1 more source
On the Symmetries and Conservation Laws of the Multidimensional Nonlinear Damped Wave Equations
We carry out a classification of Lie symmetries for the (2+1)-dimensional nonlinear damped wave equation utt+fuut=div(gugrad u) with variable damping. Similarity reductions of the equation are performed using the admitted Lie symmetries of the equation ...
Usamah S. Al-Ali +3 more
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Symmetries and Lie algebra of the differential-difference Kadomstev-Petviashvili hierarchy
By introducing suitable non-isospectral flows we construct two sets of symmetries for the isospectral differential-difference Kadomstev-Petviashvili hierarchy.
Chen D. Y. +8 more
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Non-Lie Symmetries and Supersymmetries
The paper deals with the non-Lie symmetries for the Schrödinger equation \[ \begin{aligned} &L\psi(t,x)=0,\qquad L=i\partial_t -H,\\ &H = \frac 12(-\partial_x^2+U(x)),\quad \partial_t\equiv \frac{\partial}{\partial t},\quad \partial_x\equiv \frac{\partial}{\partial x}, \end{aligned}\tag{1} \] where \(U(x)\) is an arbitrary function of the only spatial ...
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A Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller
Block Diagram of the Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller. ABSTRACT This article introduces a discrete‐time robust adaptive one‐sample‐ahead preview super‐twisting sliding mode controller. A stability analysis of the controller by Lyapunov criteria is developed to demonstrate its robustness in handling both ...
Guilherme Vieira Hollweg +5 more
wiley +1 more source

