Optical soliton perturbation, group invariants and conservation laws of perturbed Fokas–Lenells equation

Bansal, Anupma; Kara, A. H.; Biswas, Anjan; Moshokoa, Seithuti P.; Belić, Milivoj R.

doi:10.1016/j.chaos.2018.06.030

Cited by 60 publications

(31 citation statements)

References 12 publications

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“…Specially, this model represents the propagation of short light pulses in the mono-mode optical fibers. Various authors have studied the FLM via different methods [19][20][21][22][23][24][25][26][27][28][29][30]. On the other hand, the GFLM will be discussed for the first time in the frame work of two distinct techniques namely the MSEM and the RPSODM.…”

Section: Introductionmentioning

confidence: 99%

Impressive and accurate solutions to the generalized Fokas-Lenells model

Bekir¹,

Zahran

Davodi

2022

Rev. Mex. Fís.

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In this article, we utilize the generalized full nonlinearity perturbed complex Fokas-Lenells model (GFLM) which is a general dynamics representation of modern electronic communications "Internet blogs, Facebook communication and Twitter comments". The modified simple equation method (MSEM) has been applied effectively to generate closed form solution. On the other hand, the Riccati-Bernoulli Sub-ODE method (RPSOM) which reduces the steps of calculation has been applied perfectly to achieve accurate solution to this equation. We established the solutions achieved by these distinct manners in same vein and parallel.

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Section: Introductionmentioning

confidence: 99%

Impressive and accurate solutions to the generalized Fokas-Lenells model

Bekir¹,

Zahran

Davodi

2022

Rev. Mex. Fís.

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“…Biswas et al [4,5] suggested solitons, shock waves, conservation laws, and bifurcation analysis of Boussinesq equation with power law nonlinearity and dual dispersion and discussed optical quasi-solitons for nine laws of nonlinearity by Lie symmetry analysis also. Bansal et al [3] explained optical soliton perturbation, group invariants, and conservation laws or perturbed Fokes-Lenells equation. Wang et al [26,27] discussed the Lie symmetry analysis with explicit solution of time-fractional KdVs.…”

Section: Introductionmentioning

confidence: 99%

Lie Symmetry Analysis to General Fifth-Order Time-Fractional Korteweg-de-Vries Equation and Its Explicit Solution

Gandhi

Tomar

Singh

2020

Advances in Intelligent Systems and Computing

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In this research paper, we have discussed a systematic approach to solve the general time fractional fifth-order Korteweg-de-Vries equation (KdV) by Lie Symmetry Analysis. Similarity reduction transformed the fractional-order partial differential equation (FPDE) into a nonlinear fractional ordinary differential equation with new independent variable. Erdelyi-Kober fractional differential and integral operator depend on parameter 'α' implemented to reduce into fractional ordinary differential equation (FODE). At last, explicit solution is obtained by power series solution, which arises in modeling many physical phenomena.

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“…There are a variety of mathematical procedures that make the study of soliton dynamics possible [31][32][33][34][35] proposed a new methods to address accurate solutions and present conservation laws to this model. Also, A.H. Kara,and others [35] have obtained the Optical soliton solution to this equation using the jacobi elliptic function and (G′/G)-expansion method. Also the varitional iteration method [36] has been used effectively to obtain the numerical solution corresponding to the exact solution to satisfied by each one of these methods.…”

Section: Introductionmentioning

confidence: 99%

New Perception of the Optical Solutions to the Fokas-Lenells Equation According to Two Different Techniques

Zahran¹,

Shehata²

2020

Preprint

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In this article, the perturbed Fokas-Lenells equation (FLE)” which plays a vital role in modern asocial media and electronic communication” is employed. Two important different methods are invited to demonstrating new accurate solutions of this equation. The first method is the modified simple equation method (MSEM) that reduces large volume of calculations and realizes closed form solution. While the second is the modified extended tanh-function method (METFM) “which controlled by the auxiliary Ricatti equation” and used effectively to obtain accurate solutions Furthermore, few of the realized results are compatible with that obtained by previous authors elsewhere the others remains new. In addition to the varitional iteration method (VIM )is applied perfectly to achieved the numerical solution corresponding to the exact solution realized by each one of these methods individually.

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Optical soliton perturbation, group invariants and conservation laws of perturbed Fokas–Lenells equation

Cited by 60 publications

References 12 publications

Impressive and accurate solutions to the generalized Fokas-Lenells model

Impressive and accurate solutions to the generalized Fokas-Lenells model

Lie Symmetry Analysis to General Fifth-Order Time-Fractional Korteweg-de-Vries Equation and Its Explicit Solution

New Perception of the Optical Solutions to the Fokas-Lenells Equation According to Two Different Techniques

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