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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Analytical method of optical wave behavior studying in nonlinear medium with periodically arranged conducting nanofilms [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамика, 2023 The purpose of this work is to build the analytical model of the behavior of a harmonic wave in a nonlinear optical medium with periodically arranged nanofilms. Methods.
Volkova, Svetlana Anatolena +5 more
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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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Stochastic evolution as a quasiclassical limit of a boundary value problem for Schrödinger equations [PDF]
, 2002 We develop systematically a new unifying approach to the analysis of linear stochastic, quantum stochastic and even deterministic equations in Banach spaces.
Kolokoltsov, V. N. (Vasiliĭ Nikitich) +3 more
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Born-infeld electrodynamics: Clifford number and spinor representations
International Journal of Mathematics and Mathematical Sciences, 2002 The Clifford number formalism for Maxwell equations is considered. The Clifford imaginary unit for space-time is introduced as coordinate independent form of fully antisymmetric fourth-rank tensor.
Alexander A. Chernitskii
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Gradient catastrophe of nonlinear photonic valley-Hall edge pulses
Physical Review Research, 2021 We derive nonlinear wave equations describing the propagation of slowly varying wave packets formed by topological valley-Hall edge states. We show that edge pulses break up even in the absence of spatial dispersion due to nonlinear self-steepening. Self-
Daria A. Smirnova +4 more
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Vibrations of a geometrically nonlinear viscoelastic shallow shell with concentrated masses [PDF]
E3S Web of Conferences, 2021 Shell structures are widely used in various fields of technology and construction. Often, they play the role of a bearing surface with assemblies, overlays, and aggregates installed on them.
Vatin Nikolai +2 more
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Solitary Waves in the Nonlinear Dirac Equation [PDF]
, 2018 In the present work, we consider the existence, stability, and dynamics of solitary waves in the nonlinear Dirac equation. We start by introducing the Soler model of self-interacting spinors, and discuss its localized waveforms in one, two, and three spatial dimensions and the equations they satisfy.
Cuevas-Maraver, Jesús +5 more
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Jordan manifolds and dispersionless KdV equations [PDF]
, 2000 Multicomponent KdV-systems are defined in terms of a set of structure constants and, as shown by Svinolupov, if these define a Jordan algebra the corresponding equations may be said to be integrable, at least in the sense of having higher-order ...
I. A. B. Strachan +2 more
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