Results 31 to 40 of about 340,400 (255)

A symmetry-adapted numerical scheme for SDEs [PDF]

, 2019
We propose a geometric numerical analysis of SDEs admitting Lie symmetries which allows us to individuate a symmetry adapted coordinates system where the given SDE has notable invariant properties.
De Vecchi, Francesco C., Romano, Andrea, Ugolini, Stefania   +2 more
core   +2 more sources

Conservation laws, symmetry reductions, and exact solutions of some Keller–Segel models

Advances in Difference Equations, 2018
In this paper, three Keller–Segel models are considered from the point of Lie symmetry analysis, conservation laws, symmetry reduction, and exact solutions. By means of Lie symmetry analysis, we first obtain all the symmetries for the three models. Based
Lihua Zhang, Fengsheng Xu
doaj   +1 more source

Lie symmetry analysis of the Hanta-epidemic systems

Journal of Mathematics and Computer Science, 2017
Summary: We consider a model for the fatal Hanta-virus infection among mice. Lie symmetry analysis is applied to find general solutions to Hanta-virus model, which is also known as Abramson-Kenkre model. Besides the solution for the version with derivatives of fractional order, we investigate the model also by using the Lie symmetry method.
YAKIT ONGUN, Mevlüde, Kocabiyik, Mehmet
openaire   +4 more sources

Lie Symmetry Analysis on Benjamin-Ono Equation

Journal of Physics: Conference Series, 2020
Abstract Benjamin-Ono Equation are significantly important in describes the one-dimensional internal waves in deep water. Because of its significance, Lie symmetry reduction were chosen to reduce the equation and hence solve the equation. Lie symmetry analysis is one of the powerful methods to solve partial differential equation.
Joseph Boon Zik Hong, Parmjit Singh a/l Aperapar Singh, Cheong Tau Han, Nor Syazwani Mohd Rasid   +3 more
openaire   +1 more source

Group classification of the Sachs equations for a radiating axisymmetric, non-rotating, vacuum space-time [PDF]

, 2006
We carry out a Lie group analysis of the Sachs equations for a time-dependent axisymmetric non-rotating space-time in which the Ricci tensor vanishes.
Bluman G W, Christodoulou D, Cook G, Ewald J H Wessels, George F R Ellis, Ibragimov N H, Ibragimov N H, Ibragimov N H Wessels E J H Ellis G F R, Nail H Ibragimov, Olver O J, Ovsyannikov L V, Penrose R, Penrose R, Wald R M, Wessels E, Winicour J   +15 more
core   +2 more sources

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, Emrullah Yaşar, Yakup Yıldırım, Houria Triki, Qin Zhou, Seithuti P. Moshokoa, Milivoj Belic   +6 more
doaj   +1 more source

RENORMALIZATION GROUP SYMMETRY AND SOPHUS LIE GROUP ANALYSIS [PDF]

International Journal of Modern Physics C, 1995
We start with a short discussion of the content of a term Renormalisation Group in modern use. By treating the underlying solution property as a reparametrisation symmetry, we relate it with the self-similarity symmetry well-known in mathematical physics and explain the notion of Functional Self-similarity.
openaire   +2 more sources

Lie analysis, conservation laws and travelling wave structures of nonlinear Bogoyavlenskii–Kadomtsev–Petviashvili equation

Results in Physics, 2020
In this paper, the Bogoyavlenskii–Kadomtsev–Petviashvili (BKP) equation is taken into consideration by means of Lie symmetry analysis. Infinitesimal generators are computed under the invariance criteria of Lie groups and symmetry group for each generator
Adil Jhangeer, Amjad Hussain, M. Junaid-U-Rehman, Ilyas Khan, Dumitru Baleanu, Kottakkaran Sooppy Nisar   +5 more
doaj   +1 more source

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, Muhammad Mobeen Munir, Nazish Younas, Muhammad Idrees, Jia-Bao Liu   +4 more
doaj   +1 more source

A Lie symmetry analysis and explicit solutions of the two-dimensional ∞-Polylaplacian [PDF]

, 2018
In this work, we consider the Lie point symmetry analysis of a strongly nonlinear partial differential equation of third order, the ∞‐Polylaplacian, in two spatial dimensions.
Ablowitz, Aronsson, Ayanbayev, Baikov, Barron, Barron, Bhattacharya, Bluman, Bluman, Clarkson, Conte, Cox, Dimas, Dimas, Elmoataz, Evans, Fordy, Freire, Gyulov, Hereman, Hydon, Ibragimov, Igbida, Jensen, Katzourakis, Katzourakis, Katzourakis, Lazer, Oliveri, Olver, Ovsiannikov, Patera, Pryer, Reid, Schwarz, Stephani, Winternitz, Winternitz, Yaglom, Šnobl   +39 more
core   +3 more sources