Results 31 to 40 of about 23,641,221 (298)
Conservation laws for perturbed solitons in optical metamaterials
Results in Physics, 2018 The conservation laws for the dynamics of soliton propagation through optical metamaterials are derived by the aid of Lie symmetry analysis. The proposed model will be studied with two forms of nonlinearity. They are Kerr law and parabolic law. Keywords:
Anjan Biswas +6 more
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Higher-dimensional automorphic lie algebras [PDF]
, 2016 The paper presents the complete classification of Automorphic Lie Algebras based on sln(C)sln(C) , where the symmetry group G is finite and acts on sln(C)sln(C) by inner automorphisms, sln(C)sln(C) has no trivial summands, and where the poles are in ...
Sanders, Jan +10 more
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Contractions of 2D 2nd Order Quantum Superintegrable Systems and the Askey Scheme for Hypergeometric Orthogonal Polynomials [PDF]
, 2013 We show explicitly that all 2nd order superintegrable systems in 2 dimensions are limiting cases of a single system: the generic 3-parameter potential on the 2-sphere, S9 in our listing.
Willard Miller Jr. +8 more
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On a Qualitative and Lie Symmetry Analysis for a Pendulum with Two Reaction Wheels
The Quarterly Journal of Mechanics and Applied Mathematics, 2022 Summary In this article, it is studied the mechanical system formed by a pendulum with two reaction wheels in which the friction torque is assumed to follow a Coulomb law. A qualitative analysis of the system is performed for the damped case. Specifically, the equilibrium points for the unforced pendulum are analyzed. Also, in the forced
Ruiz, A. +3 more
openaire +3 more sources
Conditional Symmetries and Riemann Invariants for Hyperbolic Systems of PDEs [PDF]
, 2007 This paper contains an analysis of rank-k solutions in terms of Riemann invariants, obtained from interrelations between two concepts, that of the symmetry reduction method and of the generalized method of characteristics for first order quasilinear ...
Huard, Benoit, Grundland, A. Michel
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Lie Symmetry Analysis for the General Classes of Generalized Modified Kuramoto-Sivashinsky Equation
Journal of Function Spaces, 2021 Lie symmetry analysis of differential equations proves to be a powerful tool to solve or at least reduce the order and nonlinearity of the equation.
Rong Qi +4 more
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Journal of Ocean Engineering and Science, 2022 This work aims to present nonlinear models that arise in ocean engineering. There are many models of ocean waves that are present in nature. In shallow water, the linearization of the equations requires critical conditions on wave capacity than it make ...
Mohamed R. Ali, Wen-Xiu Ma, R. Sadat
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Results in Physics, 2023 The Lie symmetry analysis of the Riabouchinsky Proudman Johnson (RPJ) equation is discussed in this research. In the onset, we derive the geometric vector fields using the classical Lie symmetry technique. Here, we have a four-dimensional Lie algebra.
A. Hussain +3 more
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Conservation law and Lie symmetry analysis of Foam Drainage equation [PDF]
AUT Journal of Mathematics and Computing, 2021 In this paper, using the Lie group analysis method, we study the group invariant of the Foam Drainage equation. It shows that this equation can be reduced to ODE.
Mehdi Nadjafikhah, Omid Chekini
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Operators of finite rank in unitary representations of exponential Lie groups [PDF]
, 1982 Poguntke D. Operators of finite rank in unitary representations of exponential Lie groups. Mathematische Annalen.
Poguntke, Detlev
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