Supersymmetric pairing of kinks for polynomial nonlinearities

Rosu, H. C.; Cornejo-Pérez, O.

doi:10.1103/physreve.71.046607

Cited by 64 publications

(47 citation statements)

References 11 publications

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“…For many nonlinear differential equations which can be directly reduced to the integral forms under the traveling wave transformation, their single traveling wave solutions can be classified by using the complete discrimination system for polynomial [4][5][6][7][8][9]. According to the method proposed by liu and factorization method proposed by Cornejo-Perez and Rosu [10,11], Wang and Li [12] have further studied traveling wave solutions to some equations. Yang [13] has given the classification of envelope traveling wave solutions to DS equation.…”

Section: Introductionmentioning

confidence: 99%

Trial Equation Method Based on Symmetry and Applications to Nonlinear Equations Arising in Mathematical Physics

Liu

2010

Found Phys

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To find exact traveling wave solutions to nonlinear evolution equations, we propose a method combining symmetry properties with trial polynomial solution to nonlinear ordinary differential equations. By the method, we obtain some exact traveling wave solutions to the Burgers-KdV equations and a kind of reaction-diffusion equations with high order nonlinear terms. As a result, we prove that the BurgersKdV equation does not have the real solution in the form a 0 + a 1 tan ξ + a 2 tan 2 ξ , which indicates that some types of the solutions to the Burgers-KdV equation are very limited, that is, there exists no new solution to the Burgers-KdV equation if the degree of the corresponding polynomial increases. For the second equation, we obtain some new solutions. In particular, some interesting structures in those solutions maybe imply some physical meanings. Finally, we discuss some classifications of the reaction-diffusion equations which can be solved by trial equation method.

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Section: Introductionmentioning

confidence: 99%

Trial Equation Method Based on Symmetry and Applications to Nonlinear Equations Arising in Mathematical Physics

Liu

2010

Found Phys

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“…The factorization method [24,25] is used in this work to solve the reaction-diffusion equation. The equation to solve is Eq.…”

Section: Studied Modelmentioning

confidence: 99%

Effect of external applied electric field on the silicon solar cell’s thermodynamic efficiency

et al. 2017

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This paper presents a possible solution to improve the efficiency of photovoltaic solar cells. An external electric field is applied on a silicon photovoltaic solar cell, inducing band-trap ionization of charge carriers. Output current is then monitored and the thermodynamic efficiency is calculated. Results show on the one hand a significant increase in efficiency for a certain margin of applied electric field, and on the another hand the instabilities of efficiency. A simple approach is then suggested for the implementation of these results. An efficiency of 67% has been reached for an applied electric of 1586 V/ Cm.

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“…In this study we add the variable Y as follow: For a α-si which is operating at room temperature, all the above coefficients are numerically given in the Table 1. To solve the nonlinear reaction-diffusion equation the factorization method is the more appropriate method [21][22][23]. The factorization method is based on the factorization technique of systems of differential equations.…”

Section: Presentation Of the Modelmentioning

confidence: 99%

A novel technique for improving the efficiency of a photovoltaic solar cell based on the band-trap impact ionization phenomenon

Falama¹,

Justin²,

Djongyang³

et al. 2015

J. Fundam and Appl Sci.

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In this paper, we consider a photovoltaic silicon solar cell in which the charge carriers are field E o to be avoided has been carried out. The interest of the obtained results is firstly economical since it could be useful in avoiding strong and undesirable external applied electric field on solar cells. The second interest is that they permit to identify the approximate maximum efficiency value of solar cell band-trap impact ionization.

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Supersymmetric pairing of kinks for polynomial nonlinearities

Cited by 64 publications

References 11 publications

Trial Equation Method Based on Symmetry and Applications to Nonlinear Equations Arising in Mathematical Physics

Trial Equation Method Based on Symmetry and Applications to Nonlinear Equations Arising in Mathematical Physics

Effect of external applied electric field on the silicon solar cell’s thermodynamic efficiency

A novel technique for improving the efficiency of a photovoltaic solar cell based on the band-trap impact ionization phenomenon

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