Results 41 to 50 of about 340,400 (255)

On the Integrability, B\"Acklund Transformation and Symmetry Aspects of a Generalized Fisher Type Nonlinear Reaction-Diffusion Equation [PDF]

, 2004
The dynamics of nonlinear reaction-diffusion systems is dominated by the onset of patterns and Fisher equation is considered to be a prototype of such diffusive equations.
Bluman G. W., Brazhnik P. K., Fokas A. S., M. LAKSHMANAN, M. SENTHILVELAN, Mathews P. M., Murphy G. M., Nucci M. C., P. S. BINDU, Qu C. Z., Qu C. Z., Scott A. C., Showalter K., Walgraef D., Whitham G. B.   +14 more
core   +3 more sources

Optical quasi-solitons by Lie symmetry analysis

Journal of King Saud University - Science, 2012
AbstractThis paper studies optical quasi-solitons by the aid of Lie group analysis. Nine types of nonlinearities are considered here. They are Kerr law, power law, parabolic law, dual-power law, polynomial law, triple-power law, saturable law, exponential law and log law nonlinearity. A closed form solution is obtained in each case.
Biswas, Anjan, Khalique, Chaudry Masood
openaire   +1 more source

Symmetry analysis and invariant solutions of Riabouchinsky Proudman Johnson equation using optimal system of Lie subalgebras

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, M. Usman, F.D. Zaman, S.M. Eldin   +3 more
doaj   +1 more source

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
doaj   +1 more source

Singularity Structure, Symmetries and Integrability of Generalized Fisher Type Nonlinear Diffusion Equation [PDF]

, 2001
In this letter, the integrability aspects of a generalized Fisher type equation with modified diffusion in (1+1) and (2+1) dimensions are studied by carrying out a singularity structure and symmetry analysis.
Ablowitz M J, Ablowitz M J, Bramson M D, Brazhnik P K, Brazhnik P K, Briton N F, Canosa J, M Lakshmanan, M Senthilvelan, Murray J D, P S Bindu, Tuckwell H C, Wang X Y   +12 more
core   +2 more sources

Symmetry analysis of the canonical connection on Lie groups: six-dimensional case with abelian nilradical and one-dimensional center

AIMS Mathematics
In this article, the investigation into the Lie symmetry algebra of the geodesic equations of the canonical connection on a Lie group was continued. The key ideas of Lie group, Lie algebra, linear connection, and symmetry were quickly reviewed. The focus
Nouf Almutiben , Ryad Ghanam, G. Thompson, Edward L. Boone   +3 more
doaj   +1 more source

Non-simply-laced Lie algebras via F theory strings [PDF]

, 2010
In order to describe the appearance in F theory of the non--simply--laced Lie algebras, we use the representation of symmetry enhancements by means of string junctions.
A Collinucci, A Hanany, A Johansen, A Sen, A Sen, BR Greene, C Beasley, C Beasley, C Vafa, CG Callan Jr, EA Bergshoeff, H Hayashi, I Kishimoto, JF Cornwell, JJ Heckman, JJ Heckman, K Dasgupta, K Mohri, K-S Choi, L Bonora, L. Bonora, M Bershadsky, M Fukae, M Krogh, MR Gaberdiel, MR Gaberdiel, O DeWolfe, O DeWolfe, O DeWolfe, O DeWolfe, R Blumenhagen, R Blumenhagen, R. Savelli, S-J Rey, Y Matsuo   +34 more
core   +2 more sources

Similarity Solution for a System of Fractional-Order Coupled Nonlinear Hirota Equations with Conservation Laws

Mathematics, 2023
The analysis of differential equations using Lie symmetry has been proved a very robust tool. It is also a powerful technique for reducing the order and nonlinearity of differential equations.
Musrrat Ali, Hemant Gandhi, Amit Tomar, Dimple Singh   +3 more
doaj   +1 more source

Lie symmetry analysis of some conformable fractional partial differential equations [PDF]

Arabian Journal of Mathematics, 2018
In this article, Lie symmetry analysis is used to investigate invariance properties of some nonlinear fractional partial differential equations with conformable fractional time and space derivatives. The analysis is applied to Korteweg-de Vries, modified Korteweg-de Vries, Burgers, and modified Burgers equations with conformable fractional time and ...
Tayyan, B. A., Sakka, A. H
openaire   +3 more sources

Coupled Burgers equations governing polydispersive sedimentation; a Lie symmetry approach

Results in Physics, 2020
We study coupled Burgers equations that model polydispersive sedimentation from Lie symmetry standpoint. We perform Lie group analysis technique on the system and obtain symmetry reductions. Travelling wave solutions are constructed using the translation
Chaudry Masood Khalique, Saumu Athman Abdallah   +1 more
doaj   +1 more source