Found 72 Documents (Results 1–72)
The coupled space-shifted nonlocal nonlinear Schrödinger equation: multiple bright-dark double-pole solitons, multiple negaton-type solitons, and their associated mixed solitons. (English) Zbl 1540.81039
Some general bright soliton solutions and interactions for a \((2+1)\)-dimensional nonlocal nonlinear Schrödinger equation. (English) Zbl 1514.35408
Random walk and non-Gaussianity of the 3D second-quantized Schrödinger-Newton nonlocal soliton. (English) Zbl 1510.81058
Discrete nonlocal nonlinear Schrödinger equation on graphs: dynamics of PT-symmetric solitons in discrete networks. (English) Zbl 1511.81022
Existence and decay of traveling waves for the nonlocal Gross-Pitaevskii equation. (English) Zbl 1497.35429
Integrable nonlinear Klein-Gordon systems with \(\mathcal{PT}\) nonlocality and/or space-time exchange nonlocality. (English) Zbl 1495.81060
From discrete nonlocal nonlinear Schrödinger equation to coupled discrete Heisenberg ferromagnet equation. (English) Zbl 1490.35434
Inverse scattering transform for a nonlocal derivative nonlinear Schrödinger equation. (English. Russian original) Zbl 1486.81097
Theor. Math. Phys. 210, No. 1, 31-45 (2022); translation from Teor. Mat. Fiz. 210, No. 1, 38-53 (2022).
Research on statistical properties and application of off-axis Gaussian schell-model beams. (English) Zbl 07767857
MSC:
81-XX
Breather solutions of the nonlocal nonlinear self-focusing Schrödinger equation. (English) Zbl 07409508
Pure soliton solutions of the nonlocal Kundu-nonlinear Schrödinger equation. (English. Russian original) Zbl 1467.81040
Theor. Math. Phys. 206, No. 1, 40-67 (2021); translation from Teor. Mat. Fiz. 206, No. 1, 47-78 (2021).
A leap-frog finite element method for wave propagation of Maxwell-Schrödinger equations with nonlocal effect in metamaterials. (English) Zbl 1524.65622
Gram determinant solutions to nonlocal integrable discrete nonlinear Schrödinger equations via the pair reduction. (English) Zbl 1524.35580
Multiphase solutions of nonlocal symmetric reductions of equations of the AKNS hierarchy: general analysis and simplest examples. (English. Russian original) Zbl 1453.81017
Theor. Math. Phys. 204, No. 3, 1154-1165 (2020); translation from Teor. Mat. Fiz. 204, No. 3, 383-395 (2020).
Degenerate and non-degenerate solutions of \(\mathcal{PT}\)-symmetric nonlocal integrable discrete nonlinear Schrödinger equation. (English) Zbl 1448.35471
A generalized nonlocal Gross-Pitaevskii (NGP) equation with an arbitrary time-dependent linear potential. (English) Zbl 1451.35189
Nonstandard bilinearization and interaction phenomenon for PT-symmetric coupled nonlocal nonlinear Schrödinger equations. (English) Zbl 1440.35314
Variational approximations of soliton dynamics in the Ablowitz-Musslimani nonlinear Schrödinger equation. (English) Zbl 1476.81040
Solitary wave solutions for nonlinear fractional Schrödinger equation in Gaussian nonlocal media. (English) Zbl 1410.35222
Nonlocal nonlinear Schrödinger system with shifted parity and delayed time reversal symmetries. (English) Zbl 1451.35188
Rational and semi-rational solutions of the \(y\)-nonlocal Davey-Stewartson I equation. (English) Zbl 1409.81044
Inverse scattering transform for the nonlocal reverse space-time nonlinear Schrödinger equation. (English. Russian original) Zbl 1408.35169
Theor. Math. Phys. 196, No. 3, 1241-1267 (2018); translation from Teor. Mat. Fiz. 196, No. 3, 343-372 (2018).
Nonstandard bilinearization of \(\mathcal{PT}\)-invariant nonlocal nonlinear Schrödinger equation: bright soliton solutions. (English) Zbl 1378.35074
Blow up threshold for the Gross-Pitaevskii system with trapped dipolar quantum gases. (English) Zbl 1538.35345
An inhomogeneous space-time patching model based on a nonlocal and nonlinear Schrödinger equation. (English) Zbl 1368.83079
Discrete source method for analysis of fluorescence enhancement in the presence of plasmonic structures. (English. Russian original) Zbl 1343.78016
Comput. Math. Math. Phys. 56, No. 1, 140-147 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 1, 133-141 (2016).
Non-Abelian BFFT embedding, Schrödinger quantization and the field-antifield anomaly of the \(O(N)\) nonlinear sigma model. (English) Zbl 1332.81233
Quasiparticles described by the Gross-Pitaevskii equation in the semiclassical approximation. (English. Russian original) Zbl 1331.35321
Russ. Phys. J. 58, No. 5, 606-615 (2015); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 58, No. 5, 20-28 (2015).
Sobolev spaces on locally compact abelian groups and the bosonic string equation. (English) Zbl 1311.43005
Reviewer: Lubomira Softova (Aversa)
Asymptotic analysis of a non-linear non-local integro-differential equation arising from bosonic quantum field dynamics. (English) Zbl 1308.45005
Reviewer: Dan-Mircea Borş (Iaşi)
Nonlocality in string theory. (English) Zbl 1298.81254
Symmetry operators of the nonlocal Fisher-Kolmogorov-Petrovskii-Piskunov equation with a quadratic operator. (English. Russian original) Zbl 1294.81048
Russ. Phys. J. 56, No. 12, 1415-1426 (2014); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 56, No. 12, 86-95 (2013).
Interfaces supporting surface gap soliton ground states in the 1D nonlinear Schrödinger equation. (English) Zbl 1315.34097
Dynamics of surface dipole and tripole solitons in nonlocal nonlinear media with optical lattice field. (English) Zbl 1316.78008
Reviewer: Aleksander Pankov (Baltimore)
Symmetry and intertwining operators for the nonlocal Gross-Pitaevskii equation. (English) Zbl 1290.35245
Semiclassical approximation for the twodimensional Fisher-Kolmogorov-Petrovskii-Piskunov equation with nonlocal nonlinearity in polar coordinates. (English. Russian original) Zbl 1329.81190
Russ. Phys. J. 53, No. 12, 1243-1253 (2011); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 53, No. 12, 21–29 (2010).
Role of interaction with the local and nonlocal modes of the electromagnetic field on intense field multiphoton ionization of the hydrogen atom. (English) Zbl 1221.81199
An investigation of a nonlocal entanglement of two uncoupled atoms embedded in a coherent cavity field and the associated phase space distribution: one quantum nonlinear process. (English) Zbl 1205.81033
Global well-posedness for a nonlocal Gross-Pitaevskii equation with non-zero condition at infinity. (English) Zbl 1213.35375
Reviewer: Chengbo Wang (Baltimore)
Control of a nonlocal entanglement in the micromaser via two quanta non-linear processes induced by dynamic Stark shift. (English) Zbl 1162.81334
The method of singular pseudopotential for the Hartree-Fock-Slater model. (Russian. English summary) Zbl 0993.81017
Chiral symmetry breaking and confinement in QCD. (English) Zbl 1041.81602
Dorn, H. (ed.) et al., Theory of elementary particles. Proceedings of the 31st international symposium Ahrenshoop, Buckow, Germany, September 2–6, 1997. Weinheim: Wiley–VCH (ISBN 3-527-40224-1/hbk). 271-276 (1998).
Integrating flow in \(d=3\) higher-spin gauge theories with \(N=2\) SUSY. (English) Zbl 1041.81589
Dorn, H. (ed.) et al., Theory of elementary particles. Proceedings of the 31st international symposium Ahrenshoop, Buckow, Germany, September 2–6, 1997. Weinheim: Wiley–VCH (ISBN 3-527-40224-1/hbk). 70-76 (1998).
Localized excitations in discrete nonlinear Schrödinger systems: Effects of nonlocal dispersive interactions and noise. (English) Zbl 0969.81010
Symmetry of equations of linear and nonlinear quantum mechanics. (Ukrainian) Zbl 0935.35127
Reviewer: Valerie Samoilenko (Kyïv)
Symmetry of equations of linear and nonlinear quantum mechanics. (English. Ukrainian original) Zbl 0938.35012
Ukr. Math. J. 49, No. 1, 181-196 (1997); translation from Ukr. Mat. Zh. 49, No. 1, 164-176 (1997).
Conservation laws for integro-differential equations. (English) Zbl 0843.45006
Lakshmikantham, V. (ed.), World congress of nonlinear analysts ’92. Proceedings of the first world congress, Tampa, FL, USA, August 19-26, 1992. 4 volumes. Berlin: de Gruyter. 3069-3083 (1996).
\(T\)-duality and non-local supersymmetries. (English) Zbl 1003.81529
MSC:
81T30
On the Gelfand-Dickey algebra GD(SL\(_ n\)) and the \(W_ n\)-symmetry. I: The bosonic case. (English) Zbl 0814.46068
Reduction and equivariant branching lemma: Dynamical systems, evolution PDEs, and gauge theories. (English) Zbl 0761.58004
Reviewer: D.Andrica (Cluj-Napoca)
Chaos in dynamical systems. 2., vollst. überarb. u. erw. Aufl. (Chaos in dynamischen Systemen.) (German) Zbl 0756.58002
Mannheim etc.: BI-Wissenschaftsverlag. 239 S. (1989).
Introduction to nonlinear physics. From the pendulum to turbulence and chaos. (Введение в нелинеиную физику. От маятника до турбулентности и хаоса.) (Russian) Zbl 0709.58003
Moskva: Nauka. 368 p. R. 3.20 (1988).
Reviewer: M.Lyubich
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