Results 1 to 10 of about 340,400 (255)
Lie Symmetry Analysis for Cosserat Rods [PDF]
, 2014 We consider a subsystem of the Special Cosserat Theory of Rods and construct an explicit form of its solution that depends on three arbitrary functions in (s,t) and three arbitrary functions in t.
Gerdt, Vladimir P. +4 more
core +5 more sources
Lie Symmetry Analysis, Traveling Wave Solutions, and Conservation Laws to the (3 + 1)-Dimensional Generalized B-Type Kadomtsev-Petviashvili Equation [PDF]
Complexity, 2020 In this paper, the (3 + 1)-dimensional generalized B-type Kadomtsev-Petviashvili(BKP) equation is studied applying Lie symmetry analysis. We apply the Lie symmetry method to the (3 + 1)-dimensional generalized BKP equation and derive its symmetry ...
Huizhang Yang, Wei Liu, Yunmei Zhao
doaj +2 more sources
Lie symmetry analysis of conformable differential equations
AIMS Mathematics, 2019 In this paper, we construct a proper extension of the classical prolongation formula of point transformations for conformable derivative. This technique is illustrated and employed to construct a symmetry group admitted by a conformable ordinary and ...
Youness Chatibi +2 more
doaj +2 more sources
Lie symmetry analysis for generalized short pulse equation
Open Physics, 2022 Lie symmetry analysis (LSA) is one of the most common, effective, and estimation-free methods to find the symmetries and solutions of the differential equations (DEs) by following an algorithm.
Zhao Weidong +4 more
doaj +2 more sources
Journal of Taibah University for Science, 2022 This study's subject is a (3 + 1) dimensional new Hirota bilinear (NHB) equation that appears in the theory of shallow water waves. We investigate how particular dispersive waves behave in an NHB equation.
Nursena Günhan Ay, Emrullah Yaşar
doaj +2 more sources
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
doaj +2 more sources
Lie symmetries analysis for SIR model of epidemiology
Applied Mathematical Sciences, 2013 In this paper a system of nonlinear ordinary differential equations arising from SIR model of epidemiology is transformed into a system of one equation of second order and one of first order. We use the property of the Lie generators algebras for any two dimensional Lie algebra to solve the first equation of the system.
Abdelaziz Ouhadan +2 more
openalex +2 more sources
Lie symmetry analysis, Lie-Bäcklund symmetries, explicit solutions, and conservation laws of Drinfeld-Sokolov-Wilson system [PDF]
Boundary Value Problems, 2017 The symmetry analysis method is used to study the Drinfeld-Sokolov-Wilson system. The Lie point symmetries of this system are obtained. An optimal system of one-dimensional subalgebras is derived by using Ibragimov’s method.
Yufeng Zhang, Zhonglong Zhao
doaj +2 more sources
Lie Symmetry Analysis of the Hopf Functional-Differential Equation [PDF]
Symmetry, 2015 In this paper, we extend the classical Lie symmetry analysis from partial differential equations to integro-differential equations with functional derivatives. We continue the work of Oberlack and Wacławczyk (2006, Arch. Mech. 58, 597), (2013, J. Math. Phys. 54, 072901), where the extended Lie symmetry analysis is performed in the Fourier space.
Daniel Janocha +2 more
openalex +3 more sources
Lie symmetry analysis and explicit solutions of the time fractional fifth-order KdV equation.
PLoS ONE, 2014 In this paper, using the Lie group analysis method, we study the invariance properties of the time fractional fifth-order KdV equation. A systematic research to derive Lie point symmetries to time fractional fifth-order KdV equation is performed.
Gang Wei Wang, Tian Zhou Xu, Tao Feng
doaj +3 more sources