Results 241 to 250 of about 340,400 (255)

Lie symmetry analysis of the quantum Zakharov equations

Physica Scripta, 2007
The Lie point symmetries of the one-dimensional quantum Zakharov (qZ) system of equations are considered, which is a general model to describe the coupling between the Langmuir and the ion-acoustic waves in a quantum setting. It is demonstrated that the Lie symmetries of the qZ system are exactly similar to those of the classical Zakharov equations ...
Xiao-Yan Tang, Padma Kant Shukla
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Lie symmetry classification analysis for nonlinear coupled diffusion

Journal of Physics A: Mathematical and General, 1998
Summary: The group properties of the \((1+1)\)-dimensional matrix diffusion equation of the form \(\partial y/\partial t= \partial\{\Lambda(y)\partial y/\partial x\}/\partial x\) with respect to point symmetries are given. It is shown that in particular cases the group properties of this equation are similar to those of the corresponding scalar ...
Baikov, V. A., Gladkov, A. V., Wiltshire, R. J.   +2 more
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Lie symmetry analysis of a variable coefficient Calogero–Degasperis equation

Physica Scripta, 2018
We consider a general class of variable coefficient Calogero–Degasperis equations. The complete Lie group classification is performed with the aid of the appropriate equivalence group. Lie symmetries are used to derive a number of reductions by constructing the corresponding optimal lists of one-dimensional subalgebras of the Lie symmetry algebras ...
Sophocleous, Christodoulos, Tracinà, Rita, Sophocleous, Christodoulos, Tracinà, Rita   +3 more
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Lie symmetry analysis for cubic–quartic nonlinear Schrödinger's equation

Optik, 2018
Abstract This paper carries out Lie symmetry analysis of the cubic–quartic nonlinear Schrodinger's equation that models soliton dynamics whenever group velocity dispersion is negligibly small. The results are presented for Kerr and power laws of nonlinearity.
Anupma Bansal, Anjan Biswas, Qin Zhou, M.M. Babatin   +3 more
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Optical Solitons with Kudryashov’s Equation by Lie Symmetry Analysis

Physics of Wave Phenomena, 2020
In this work, Kudryashov’s equation is studied with Lie symmetry analysis, which is implemented to describe the propagation pulses in an optical fiber. The equation is converted into system of ordinary differential equations with similarity transformations. These gave way to bright, dark and singular optical soliton solutions to the model.
S. Kumar, S. Malik, A. Biswas, Q. Zhou, L. Moraru, A. K. Alzahrani, M. R. Belic   +6 more
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Einstein's vacuum field equation: Painlevé analysis and Lie symmetries

Waves in Random and Complex Media, 2019
The current study deals with investigation of Einstein's vacuum field equation for exploring movable critical points.
Lakhveer Kaur, Abdul-Majid Wazwaz
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Complex Methods for Lie Symmetry Analysis

2021
Asghar Qadir, Fazal M. Mahomed
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Lie Symmetry Analysis of Fractional Differential Equations

2020
Mir Sajjad Hashemi, Dumitru Baleanu
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LIE SYMMETRY ANALYSIS OF AN UNSTEADY HEAT CONDUCTION PROBLEM

Waves and Stability in Continuous Media, 2010
Omar Di Stefano, SAMMARCO, SERENA, SPINELLI, CECILIA   +2 more
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Optical Solitons and Lie Symmetry Analysis of Kaupnewell Equation

Communications on Applied Nonlinear Analysis
This manuscript is based on the Kaup-Newell equation, speci cally contemplated to be a kind of nonlinear Schrodinger equation. One of the frameworks derived from the well-known nonlinear Schrodinger equation is the KaupNewell equation which is one of the three derivative forms of the nonlinear Schrodinger equation that is frequently explored in ...
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