Results 1 to 10 of about 2,989 (204)
Nonlinear Dirac Equations [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We construct nonlinear extensions of Dirac's relativistic electron equation that preserve its other desirable properties such as locality, separability, conservation of probability and Poincaré invariance.
Wei Khim Ng, Rajesh R. Parwani
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Nonlinear Dirac equation for graphene [PDF]
Keldysh Institute Preprints, 2016 The possibility of introducing a nonlinear correction to the Dirac equation for graphene in order to adequately describe collective electronic phenomena is considered. In contrast to the other papers on this topic the interaction term includes the sum of the spinor components’ squares instead of their difference.
Andrey Andreevich Gladkikh +1 more
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On Remarkable Reductions of the Nonlinear Dirac Equation [PDF]
Journal of Nonlinear Mathematical Physics, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhdanov, Renat, Andreitsev, Andrij
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Caccioppoli-type inequalities for Dirac operators
Journal of Inequalities and Applications, 2022 In this paper, we establish the Caccioppoli estimates for the nonlinear differential equation − D ‾ ( | D v | p − 2 D v ) = λ | v | p − 2 v , 1 < p < ∞ , $$ - \overline{D}\bigl( \vert Dv \vert ^{p-2}Dv\bigr) = \lambda \vert v \vert ^{p-2}v, \quad 1< p ...
Ardak Kashkynbayev, Gulaiym Oralsyn
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Solitary waves in the nonlinear Dirac equation with arbitrary nonlinearity [PDF]
Physical Review E, 2010 15 pages, 7 ...
Cooper, Fred +3 more
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The One-Dimensional Dirac Equation With Concentrated Nonlinearity [PDF]
SIAM Journal on Mathematical Analysis, 2017 The purpose of this paper is to study the one-dimensional Dirac equation with a new kind of singular operator. By the self-adjointness of the extension of this operator, the authors are able to study a wide range of similar well-posed equations, which are parametrized through a singular boundary condition.
Claudio Cacciapuoti +3 more
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Engineering Transactions, 2022 In this study, the dynamic response of an Euler-Bernoulli beam resting on the nonlinear viscoelastic foundation under the action of a moving mass by considering the stretching effect of the beam’s neutral axis is investigated.
Mehdi POURSEIFI +1 more
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Nonlinear A-Dirac Equations [PDF]
Advances in Applied Clifford Algebras, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A remark on nonlinear Dirac equations [PDF]
Proceedings of the American Mathematical Society, 2010 For an n n -dimensional spin manifold
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Boundary Value Problems, 2018 We consider the nonlinear Schrödinger equation with Dirac interaction in a half-line domain of R $\mathbb{R}$. Endowed with artificial boundary condition, we discuss the global well-posedness of the equation.
Mostafa Abounouh +2 more
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