Space time fractional Drinfel'd-Sokolov-Wilson system with time-dependent variable coefficients: Symmetry analysis, power series solutions and conservation laws

Kour, Baljinder; Kumar, Sachin

doi:10.1140/epjp/i2019-12986-1

Cited by 9 publications

(2 citation statements)

References 21 publications

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“…, 1993; Senol et al. , 2019; Senol, 2020; Kour and Kumar, 2019a, 2019b; Kumar et al. , 2021; Kumar and Kour, 2020).…”

Section: Introductionmentioning

confidence: 99%

Space time fractional Ito system with variable coefficients: explicit solution, conservation laws and numerical approximation

Kour

Inc²,

Arora³

2022

MMMS

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PurposeThe purpose of this paper is to present the residual power series method for solving the space time fractional variable coefficients Ito system.Design/methodology/approachA weighted algorithm based on the residual power series method is used numerical solution of the space time fractional Ito system variable coefficients. The authors show that this technique yields the analytical solution of the desired problem in the form of a rapidly convergent series with easily computable components.FindingsThe authors illustrate that the proposed method produces satisfactory results with respect to the other semi analytical methods. The reliability of the method and the reduction in the size of computational domain give this method a wider applicability.Originality/valueThis research presents, for the first time, a new modification of the proposed technique for aforementioned problems and some interesting results are obtained.

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“…, 1993; Senol et al. , 2019; Senol, 2020; Kour and Kumar, 2019a, 2019b; Kumar et al. , 2021; Kumar and Kour, 2020).…”

Section: Introductionmentioning

confidence: 99%

Space time fractional Ito system with variable coefficients: explicit solution, conservation laws and numerical approximation

Kour

Inc²,

Arora³

2022

MMMS

Self Cite

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“…In recent years, parallel to the increase in mathematical techniques and the use of computer programs, many authors have an increased desire to work on fractional analysis. Therefore, many methods are used to solve the NFPDEs-for example, the finite-difference method [13], the multiple exp-function method [14], the homotopy perturbation method [15,16], the variational-iteration method, the exp method [17], the fractional sub-equation method [18], and the Lie invariance method [19][20][21]. When we look through the literature, we realize Sophus Lie firstly put forward a methodology about symmetry analysis at the end of the nineteenth century [22].…”

Section: Introductionmentioning

confidence: 99%

Lie Symmetry Analysis, Conservation Laws, Power Series Solutions, and Convergence Analysis of Time Fractional Generalized Drinfeld-Sokolov Systems

2021

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In this work, we investigate invariance analysis, conservation laws, and exact power series solutions of time fractional generalized Drinfeld–Sokolov systems (GDSS) using Lie group analysis. Using Lie point symmetries and the Erdelyi–Kober (EK) fractional differential operator, the time fractional GDSS equation is reduced to a nonlinear ordinary differential equation (ODE) of fractional order. Moreover, we have constructed conservation laws for time fractional GDSS and obtained explicit power series solutions of the reduced nonlinear ODEs that converge. Lastly, some figures are presented for explicit solutions.

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Solitary pattern solution of fractional Triki–Biswas and generalised KdV–Zakharov–Kuznetsov equations

Kour,

Arora,

Singh

2024

Pramana - J Phys

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Space time fractional Drinfel'd-Sokolov-Wilson system with time-dependent variable coefficients: Symmetry analysis, power series solutions and conservation laws

Cited by 9 publications

References 21 publications

Space time fractional Ito system with variable coefficients: explicit solution, conservation laws and numerical approximation

Space time fractional Ito system with variable coefficients: explicit solution, conservation laws and numerical approximation

Lie Symmetry Analysis, Conservation Laws, Power Series Solutions, and Convergence Analysis of Time Fractional Generalized Drinfeld-Sokolov Systems

Solitary pattern solution of fractional Triki–Biswas and generalised KdV–Zakharov–Kuznetsov equations

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