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[PDF] Top 20 Lie symmetry analysis of the time variable coefficient B BBM equation

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Lie symmetry analysis of the time variable coefficient B BBM equation

Lie symmetry analysis of the time variable coefficient B BBM equation

... the Lie group classification is a systematic approach through which the parameters assume their forms ...of Lie group analysis of differential equations ... See full document

8

Approximate nonclassical symmetries for the time-fractional KdV equations with the small parameter

Approximate nonclassical symmetries for the time-fractional KdV equations with the small parameter

... this equation by employing analytical methods [5, 15, 20, 21]. Lie Symmetry analysis plays a fundamental role in the construction of the analytical and exact so- lutions of the differential ... See full document

8

Analysis of two Legendre spectral approximations for the variable coefficient fractional diffusion wave equation

Analysis of two Legendre spectral approximations for the variable coefficient fractional diffusion wave equation

... For comparison, we depict the exact and numerical solutions at different times T in Fig. 6. Here we choose N = 50, τ = 0.05, and γ = 1.1. The black curve denotes the exact solution, blue “O” represents the numerical ... See full document

23

Lie symmetry analysis for Kawahara-KdV equations

Lie symmetry analysis for Kawahara-KdV equations

... present Lie group method for Eqs. (1), (2), and (3). A Lie point symmetry of a partial differential equation (PDE) is an invertible transformation of the dependent and independent variables ... See full document

11

Lie symmetry analysis of stochastic SIRS model

Lie symmetry analysis of stochastic SIRS model

... point symmetry, then it is integrable. In this regards, the point symmetry establishes a change of variables which linearizes the nonlinear model and provides explicit solutions of the stochastic ... See full document

15

The classification of delay differential equations using lie symmetry analysis

The classification of delay differential equations using lie symmetry analysis

... In this thesis a classification method is developed to classify DDEs to solvable Lie algebra. This method allows us to study the properties of the solutions of higher-order DDEs towards getting the transformation ... See full document

39

Some Coefficients Method Of Solving Riccati Equation By Lie Group Symmetry

Some Coefficients Method Of Solving Riccati Equation By Lie Group Symmetry

... Riccati Equation by inspired guesswork, or geometric intuition, the steps used when solving all first order differential equations involve some assumptions and guesses of the form of symmetry for a given ... See full document

11

Notes on the Lie Symmetry Exact Explicit Solutions for Nonlinear Burgers’ Equation

Notes on the Lie Symmetry Exact Explicit Solutions for Nonlinear Burgers’ Equation

... are variable coefficient ...for variable-coefficient non- linear partial differential equations the current research methods used numerical or approximate ...Sophus Lie [1–3] proposed a ... See full document

8

Approximate symmetry and exact solutions of the perturbed nonlinear Klein-Gordon equation

Approximate symmetry and exact solutions of the perturbed nonlinear Klein-Gordon equation

... classical Lie Symmetry method, originally introduced by Sophus Lie (1895), was popularized in [13] and presented in a modern form using the jet space theory in ...the equation unchanged, and ... See full document

10

Lie Symmetry Analysis and Exact Solutions of General Time Fractional Fifth-order Korteweg-de Vries Equation

Lie Symmetry Analysis and Exact Solutions of General Time Fractional Fifth-order Korteweg-de Vries Equation

... general time fractional fifth-order KdV equation is presented in the sense of Lie point ...the symmetry reductions of the equation are ...the symmetry algebra is due to the fact ... See full document

9

Symmetry properties and explicit solutions of the nonlinear time fractional KdV equation

Symmetry properties and explicit solutions of the nonlinear time fractional KdV equation

... fields. Lie point transformation groups can deal with symmetry reductions, similarity solutions of nonlinear differential partial ...of Lie symmetry groups is the most important approach for ... See full document

13

Group Invariant Solutions for the Generalised Fisher Type Equation

Group Invariant Solutions for the Generalised Fisher Type Equation

... type equation using both classical Lie point and the nonclassical symmetry ...type equation arises in theory of population ...and coefficient of the source term are given as the power ... See full document

12

Crank Nicolson implicit method for the nonlinear Schrodinger Equation with variable coefficient

Crank Nicolson implicit method for the nonlinear Schrodinger Equation with variable coefficient

... NLS equation with variable ...in time and space directions. The stability analysis shows that the present method is unconditionally stable and satisfies discrete conservation ... See full document

7

The error analysis of Crank-Nicolson-type difference scheme for fractional subdiffusion equation with spatially variable coefficient

The error analysis of Crank-Nicolson-type difference scheme for fractional subdiffusion equation with spatially variable coefficient

... spatial variable coefficient subdiffusion equation with Riemann-Liouville fractional ...each time level, it results in a linear system in which the coefficient matrix is tridiagonal and strictly ... See full document

19

Lie symmetry analysis, Lie-Bäcklund symmetries, explicit solutions, and conservation laws of Drinfeld-Sokolov-Wilson system

Lie symmetry analysis, Lie-Bäcklund symmetries, explicit solutions, and conservation laws of Drinfeld-Sokolov-Wilson system

... The Lie symmetry method was initiated by Lie [] in the second half of the nineteenth cen- ...the Lie symmetry method is that one-parameter groups of transformations acting on the space ... See full document

17

Lie Symmetry Methods in Finance - An Example of the Bond Pricing Equation

Lie Symmetry Methods in Finance - An Example of the Bond Pricing Equation

... Sophus Lie [1] over 100 years ago, can provide new and simple solutions to differential equations arising from any ...differential equation and the final con- ...The Lie symmetry classification ... See full document

6

Space time fractional Rosenou Haynam equation: Lie symmetry analysis, explicit solutions and conservation laws

Space time fractional Rosenou Haynam equation: Lie symmetry analysis, explicit solutions and conservation laws

... only time derivative have been analyzed via the Lie symme- try method ...the Lie method has been developed to the systems of time FPDEs ...the Lie method has been extended for the first ... See full document

14

Periodic solutions for Liénard type equation with time variable coefficient

Periodic solutions for Liénard type equation with time variable coefficient

... The equation can be applied to the dynamics of ...Euler’s equation, govern- ing the flow of an ideal fluid in a conservative force ...p-Laplacian equation (see [–] and refer- ences therein), ... See full document

9

Variable coefficient KdV equation with time dependent variable coefficient topographic forcing term and atmospheric blocking

Variable coefficient KdV equation with time dependent variable coefficient topographic forcing term and atmospheric blocking

... a variable coefficient KdV equation with variable coefficient topographic forcing term is derived from barotropic and potential vorticity equation on a beta-plane including topography ...KdV ... See full document

18

Lie symmetry Analysis and Invariant Solutions for Multiregion Neutron Diffusion Equation

Lie symmetry Analysis and Invariant Solutions for Multiregion Neutron Diffusion Equation

... The symmetry groups related to one-parameter are obtained and the MNDE are solved from Lie symmetry group in order to have several invariant solutions representing each of them the sense of ...first ... See full document

9

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