The rational solution of supersymmetric KdV equation

Mirza, Arifa; Haider, Bushra

doi:10.1063/1.4991112

Cited by 4 publications

(1 citation statement)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The numerical methods to solve the third‐ and fifth‐order KdV equations were sketched by Djidjeliab et al [28]. Also, rational solution of supersymmetric KdV equation was provided by Mirza and Haider in [29]. The stochastic KdV equation was considered by Wadati [30].…”

Section: Introductionmentioning

confidence: 99%

Numerical solutions of the initial boundary value problem for the perturbed conformable time Korteweg‐de Vries equation by using the finite element method

Pedram

Rostamy

2020

Numerical Methods Partial

View full text Add to dashboard Cite

In this paper, we investigate the initial‐boundary‐value problem for the nonhomogeneous Korteweg‐de Vries equation with conformable derivative on time part of it. We use the finite element method with B‐spline as the basis functions for obtaining the numerical solutions for this nonlinear equation. In addition, we prove a posteriori and a priori errors for it. These show the adaptivity and convergence of our method. Also, a posteriori error estimate concludes that the error estimate decreases as α increases. We show the accuracy of our work by comparing with the exact solution for the homogeneous KdV equation. We also bring an example for the nonhomogeneous conformable time KdV equation to demonstrate the accuracy and efficiency of the proposed method. Also, these numerical results are consistent with the result of theorems. The numerical results are given in tables and figures.

show abstract

Section: Introductionmentioning

confidence: 99%

Numerical solutions of the initial boundary value problem for the perturbed conformable time Korteweg‐de Vries equation by using the finite element method

Pedram

Rostamy

2020

Numerical Methods Partial

View full text Add to dashboard Cite

show abstract

Superfield Bäcklund and Darboux transformations of an $$\mathcal N=1$$ supersymmetric coupled dispersionless integrable system

Mirza,

ul Hassan

2024

Theor Math Phys

View full text Add to dashboard Cite

Numerical simulations of stochastic conformable space–time fractional Korteweg-de Vries and Benjamin–Bona–Mahony equations

Pedram

Rostamy

2021

Nonlinear Engineering

View full text Add to dashboard Cite

In this paper, we investigate the effect of white noise on conformable time and space fractional KdV and BBM equations. For this purpose, we convert these equations with external noise to homogeneous conformable time and space fractional KdV and BBM equations with defined transformation and then we solve them by modified Kudryashov method. We bring our numerical results in some figures in the last section.

show abstract

The rational solution of supersymmetric KdV equation

Cited by 4 publications

References 26 publications

Numerical solutions of the initial boundary value problem for the perturbed conformable time Korteweg‐de Vries equation by using the finite element method

Numerical solutions of the initial boundary value problem for the perturbed conformable time Korteweg‐de Vries equation by using the finite element method

Superfield Bäcklund and Darboux transformations of an $$\mathcal N=1$$ supersymmetric coupled dispersionless integrable system

Numerical simulations of stochastic conformable space–time fractional Korteweg-de Vries and Benjamin–Bona–Mahony equations

Contact Info

Product

Resources

About