Exact Classical and Quantum Mechanics of a Generalized Singular Equation of Quadratic Liénard Type

Koudahoun, L. H.; Akande, J.; Adjaï, Damien Kolawolé Kêgnidé; Kpomahou, Y. J. F.; Monsia, M. D.

doi:10.3844/jmssp.2018.183.192

Cited by 2 publications

(1 citation statement)

References 10 publications

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“…The equation (39) represents the inverted Painlevé-Gambier XI equation whose solution was recently obtained by Koudahoun et al [29]. The general form of this solution is:…”

Section: Fundamental Equationsmentioning

confidence: 99%

Soliton-like solutions of nonlinear scalar and electromagnetic field equations in gravitational theory

Yamadjako

Adomou

Houngan

2022

IJBAS

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In this work, exact analytical static spherical symmetric solutions to the nonlinear interacting electromagnetic and massless scalar field equations have been determined taking into account the proper gravitational field of elementary particles. The obtained results prove that all solutions of the Einstein equation and those of the interacting fields are regular with localized energy density. All non-zero components of the 4-vector potential are solutions to the inverted PainlevÃ©-Gambier XI equation. Moreover, the total energy of interacting fields is limited and the total charge of elementary particles is finite. These solutions obtained are soliton-like and can be used as a model to describe the internal structure of elementary particles.

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“…The equation (39) represents the inverted Painlevé-Gambier XI equation whose solution was recently obtained by Koudahoun et al [29]. The general form of this solution is:…”

Section: Fundamental Equationsmentioning

confidence: 99%

Soliton-like solutions of nonlinear scalar and electromagnetic field equations in gravitational theory

Yamadjako

Adomou

Houngan

2022

IJBAS

View full text Add to dashboard Cite

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On Boundary Value Problems for Liénard Type Equation

Kirichuka,

Sadyrbaev

2023

Wseas Transactions on Systems and Control

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The generalized Liénard type differential equation is studied together with the two-point linear boundary conditions of the Sturm-Liouville type. The existence and multiplicity of solutions are considered. The existence under suitable conditions is shown to follow from the lower and upper functions theory. For multiplicity, the polar coordinates approach is used. The multiplicity results are based on the comparison between behavior of solutions near the trivial one, and solutions near the special one, which is preassumed to be non-oscillatory. The existence of the latter is required. It is shown also, that these conditions are fulfilled for a relatively broad class of equations. Some examples are constructed, which are supplied by comments and illustrations.

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Exact Classical and Quantum Mechanics of a Generalized Singular Equation of Quadratic Liénard Type

Cited by 2 publications

References 10 publications

Soliton-like solutions of nonlinear scalar and electromagnetic field equations in gravitational theory

Soliton-like solutions of nonlinear scalar and electromagnetic field equations in gravitational theory

On Boundary Value Problems for Liénard Type Equation

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