Results 21 to 30 of about 76,709 (184)
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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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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Stable directions for small nonlinear Dirac standing waves [PDF]
, 2006 We prove that for a Dirac operator with no resonance at thresholds nor eigenvalue at thresholds the propagator satisfies propagation and dispersive estimates.
A. Alvarez +48 more
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Solutions of nonlinear Dirac equations
Journal of Differential Equations, 2006 Existence and multiplicity results for stationary solutions of the Dirac equation \(-i\partial _{t}\psi =ic\hslash \sum_{k=1}^{3}a_{k}\partial _{k}\psi -mc^{2}\beta \psi +\nabla _{\psi }G(x,\psi )\) are established via variational method. The associated Lagrangian functional is strongly indefinite and the Palais-Smale (PS) condition is not satisfied ...
Bartsch, Thomas, Ding, Yanheng
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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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On the GBDT version of the B\"acklund-Darboux transformation and its applications to the linear and nonlinear equations and Weyl theory [PDF]
, 2009 A general theorem on the GBDT version of the B\"acklund-Darboux transformation for systems rationally depending on the spectral parameter is treated and its applications to nonlinear equations are given.
Sakhnovich, Alexander
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The cubic nonlinear Dirac equation [PDF]
Journées équations aux dérivées partielles, 2013 We present some results obtained in collaboration with prof. Piero D’Ancona concerning global existence for the 3D cubic non linear massless Dirac equation with a potential for small initial data in H 1 with slight additional assumptions. The new crucial tool is given by the proof of some refined endpoint Strichartz estimates.
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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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Quantum Maps with Memory from Generalized Lindblad Equation
Entropy, 2021 In this paper, we proposed the exactly solvable model of non-Markovian dynamics of open quantum systems. This model describes open quantum systems with memory and periodic sequence of kicks by environment. To describe these systems, the Lindblad equation
Vasily E. Tarasov
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New Journal of Physics, 2015 We present the theoretical and mathematical foundations of stability analysis for a Bose–Einstein condensate (BEC) at Dirac points of a honeycomb optical lattice. The combination of s -wave scattering for bosons and lattice interaction places constraints
L H Haddad, Lincoln D Carr
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