Results 21 to 30 of about 471,361 (266)
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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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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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.
CACCIAPUOTI, CLAUDIO +3 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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Numerical methods for nonlinear Dirac equation [PDF]
Journal of Computational Physics, 2013 This paper presents a review of the current state-of-the-art of numerical methods for nonlinear Dirac (NLD) equation. Several methods are extendedly proposed for the (1+1)-dimensional NLD equation with the scalar and vector self-interaction and analyzed in the way of the accuracy and the time reversibility as well as the conservation of the discrete ...
Xu, Jian, Shao, Sihong, Tang, Huazhong
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Dirac solitons in optical microresonators
Light: Science & Applications, 2020 Dirac solitons: Equation describes new properties The intriguing properties of a new type of ultrashort light pulse in microresonators are described. Called a Dirac soliton, Heming Wang and colleagues at the California Institute of Technology say that ...
Heming Wang +6 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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Block-diagonalization of the linearized coupled-mode system [PDF]
, 2005 We consider the Hamiltonian coupled-mode system that occur in nonlinear optics, photonics, and atomic physics. Spectral stability of gap solitons is determined by eigenvalues of the linearized coupled-mode system, which is equivalent to a four-by-four ...
Chugunova, M., Pelinovsky, D.
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Наука. Инновации. Технологии, 2022 Introduction: the problem of integrability of nonlinear partial differential equations, even for the second order, is not always an obvious fact, since inding a general solution is possible only in rare cases.
Tatyana Valentinovna Redkina
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Nonlinear Wave Equations Related to Nonextensive Thermostatistics
Entropy, 2017 We advance two nonlinear wave equations related to the nonextensive thermostatistical formalism based upon the power-law nonadditive S q entropies.
Angel R. Plastino, Roseli S. Wedemann
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