Found 100 Documents (Results 1–100)
A formulation for a nonlinear axisymmetric magneto-heat coupling problem with an unknown nonlocal boundary condition. (English) Zbl 1533.35326
Multi-breather, rogue wave and multi-bright-dark soliton interaction of the (2+1)-dimensional nonlocal Fokas system. (English) Zbl 1530.35288
The \(\overline{\partial}\)-dressing method and soliton solutions for the reverse space-time nonlocal Sasa-Satsuma equation. (English) Zbl 1532.35426
Continuum limit related to dispersion managed nonlinear Schrödinger equations. (English) Zbl 1528.35157
Explicit solutions from Darboux transformation for the two-component nonlocal Hirota and Maxwell-Bloch system. (English) Zbl 1533.37147
Discrete solutions and interaction dynamics for coupled nonlocal discrete nonlinear Schrödinger equations in an inhomogeneous optical fiber. (English) Zbl 1524.35620
Radially symmetric spiral flows of the compressible Euler-Poisson system for semiconductors. (English) Zbl 1527.35419
MSC:
35Q81
35Q31
35Q60
76L05
76J20
76H05
76N10
78A35
82D37
35L60
35B06
35B36
35B40
35B65
35A01
35A02
47H10
Propagation of chirped gray solitons in weakly nonlocal media with parabolic law nonlinearity and spatio-temporal dispersion. (English) Zbl 1538.35114
Inverse scattering transforms for the nonlocal Hirota-Maxwell-Bloch system. (English) Zbl 1519.35217
Reviewer: Mohamed Majdoub (Dammam)
Well-posedness of dispersion managed nonlinear Schrödinger equations. (English) Zbl 1508.35141
Reviewer: Rémi Carles (Rennes)
Evolution properties of vortex beams through strongly nonlocal nonlinear media. (English) Zbl 07851713
Thermodynamic modeling of a laser pulse heating in a rotating microelongated nonlocal thermoelastic solid due to G-N theory. (English) Zbl 1536.74044
Collapse arrest in a two-dimensional Airy Gaussian beam and Airy Gaussian vortex beam in nonlocal nonlinear media. (English) Zbl 1514.78012
Parameters controlling of vortex solitons in nonlocal nonlinear medium with gradually characteristic length. (English) Zbl 1504.76055
Statistical approach of modulational instability in the class of nonlocal NLS equation involving nonlinear Kerr-like responses with non-locality: exact and approximated solutions. (English) Zbl 1524.78062
Cylindrically symmetric solutions of curl-curl equation with nonlocal nonlinearity. (English) Zbl 1492.35329
The complex-valued astigmatic cosine-Gaussian soliton solution of the nonlocal nonlinear Schrödinger equation and its transmission characteristics. (English) Zbl 1479.78021
A nested hybridizable discontinuous Galerkin method for computing second-harmonic generation in three-dimensional metallic nanostructures. (English) Zbl 07500736
A Lagrangian approach to modulational instability in nonlocal nonlinear Kerr media. (English) Zbl 1528.78005
MSC:
78M30
A leap-frog finite element method for wave propagation of Maxwell-Schrödinger equations with nonlocal effect in metamaterials. (English) Zbl 1524.65622
Method for analyzing the influence of the quantum nonlocal effect on the characteristics of a plasmonic nanolaser. (English. Russian original) Zbl 1478.78056
Dokl. Math. 101, No. 1, 20-24 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 490, 24-28 (2020).
Multiscale expansions avector solitons of a two-dimensional nonlocal nonlinear Schrödinger system. (English) Zbl 1454.78038
Accessible solitons in three-dimensional parabolic cylindrical coordinates. (English) Zbl 1448.35095
A novel non-isospectral hierarchy and soliton wave dynamics for a parity-time-symmetric nonlocal vector nonlinear Gross-Pitaevskii equations. (English) Zbl 1480.35364
Darboux transformation and explicit solutions for the \((2 + 1)\)-dimensional nonlocal nonlinear Schrödinger-Maxwell-Bloch system. (English) Zbl 1428.35538
The magnetization ripple: a nonlocal stochastic PDE perspective. (English. French summary) Zbl 1426.35240
Reviewer: Luisa Consiglieri (Lisboa)
Interaction theory of mirror-symmetry soliton pairs in nonlocal nonlinear Schrödinger equation. (English) Zbl 1410.35213
Covariant hodograph transformations between nonlocal short pulse models and the AKNS\((- 1)\) system. (English) Zbl 1410.35225
Rational soliton solutions in the parity-time-symmetric nonlocal coupled nonlinear Schrödinger equations. (English) Zbl 1509.35290
Non-localness of excess potentials and boundary value problems of Poisson-Nernst-Planck systems for ionic flow: a case study. (English) Zbl 1407.34071
Reviewer: Vasile Dragan (Bucureşti)
Nonstandard separation of variables for the Maxwell-Bloch conservative system. (English) Zbl 1393.37070
Variable sinh-Gaussian solitons in nonlocal nonlinear Schrödinger equation. (English) Zbl 1393.78015
An analytical investigation of the cylindrical capacitor in the framework of a two-parameter modification of Born-Infeld electrodynamics. (English) Zbl 1391.70065
Some singular equations modeling MEMS. (English) Zbl 1456.35193
Reviewer: Ramón Quintanilla De Latorre (Barcelona)
New analytic solutions of two-dimensional nonlocal nonlinear media. (English) Zbl 1411.78004
MSC:
78A40
Account for the nonlocal effect in light scattering by plasmonic nanoparticles in the hybrid scheme of the discrete sources method. (English. Russian original) Zbl 1384.82015
Mosc. Univ. Comput. Math. Cybern. 41, No. 4, 165-172 (2017); translation from Vestn. Mosk. Univ., Ser. XV 2017, No. 4, 14-21 (2017).
Peakon, pseudo-peakon, cuspon and smooth solitons for a nonlocal Kerr-like media. (English) Zbl 1367.35161
On the stability of a model for the cutting of metal plates by means of laser beams. (English) Zbl 1383.35122
Interaction trajectory of solitons in nonlinear media with an arbitrary degree of nonlocality. (English) Zbl 1342.78034
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).
Multiscale models and approximation algorithms for protein electrostatics. (English) Zbl 1342.78039
Cheng, A. H-D. (ed.) et al., Boundary elements and other mesh reduction methods XXXVIII. Selected papers based on the presentations at the 38th international conference (BEM/MRM), New Forest, UK, September 21–23, 2015. Southampton: WIT Press (ISBN 978-1-78466-027-7/hbk; 978-1-78466-028-4/ebook). WIT Transactions on Modelling and Simulation 61, 163-174 (2015).
Analytical descriptions of dark and gray solitons in nonlocal nonlinear media. (English) Zbl 1330.78015
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)
Numerical solution of a transient nonlinear axisymmetric eddy current model with nonlocal boundary conditions. (English) Zbl 1274.78088
Shear-induced bifurcations and chaos in models of three coupled lasers. (English) Zbl 1230.78024
Reviewer: Aleksander Pankov (Baltimore)
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
Weak solutions to a model for crystal growth from the melt in changing magnetic fields. (English) Zbl 1200.35211
Kunisch, Karl (ed.) et al., Optimal control of coupled systems of partial differential equations. Based on the international conference, Oberwolfach, Germany, March 2–8, 2008. Basel: Birkhäuser (ISBN 978-3-7643-8922-2/hbk; 978-3-7643-8923-9/ebook). ISNM. International Series of Numerical Mathematics 158, 123-137 (2009).
Spatiotemporal optical soliton solutions of one coupled system in nonlocal nonlinear media. (Chinese. English summary) Zbl 1212.78026
Incoherently coupled multi-color vector solitons in strongly nonlocal nonlinear media. (English) Zbl 1170.78400
Control of a nonlocal entanglement in the micromaser via two quanta non-linear processes induced by dynamic Stark shift. (English) Zbl 1162.81334
Nonlocal optical spatial soliton with a non-parabolic symmetry and real-valued convolution response kernel. (English) Zbl 1392.35299
Incoherent solitons in strongly nonlocal media: the coherent density theory. (English) Zbl 1217.78050
High-order numerical solution of the nonlinear Helmholtz equation with axial symmetry. (English) Zbl 1118.78012
Reviewer: Nina Shokina (Freiburg)
Modulational instability in the nonlocal \(\chi ^{(2)}\)-model. (English) Zbl 1117.78006
Reviewer: Dmitry Shepelsky (Kharkov)
On the nonlocal nonlinear Schrödinger equation and its integrable regimes. (English) Zbl 1117.78005
Barletta, Elisabetta (ed.), Variations on a century of relativity. Theory and applications. Potenza: Università degli Studi della Basilicata, Dipartimento di Matematica. Lecture Notes of Seminario Interdisciplinare di Matematica 5, 173-197 (2006).
Reviewer: A. G. Vladimirov (Berlin)
Numerical optimization of the two-dimensional transformation of arguments in the functional-differential diffusion equation. (English. Russian original) Zbl 1069.65072
Comput. Math. Model. 15, No. 4, 333-343 (2004); translation from Prikl. Mat. Inf. 15, 26-38 (2003).
Transient numerical simulation of sublimation growth of SiC bulk single crystals. Modeling, finite volume method, results. (English) Zbl 1043.80006
Weierstraß-Institut für Angewandte Analysis und Stochastik. Report 22. Berlin: WIAS; Berlin: Humboldt Univ., Faculty of Mathematics and Natural Sciences II (Thesis). xv, 289 p. (2003).
Infinitely many radial solutions of a variational problem related to dispersion-managed optical fibers. (English) Zbl 1031.35135
Reviewer: Sebastian Aniţa (Iaşi)
Accumulating regions of winding periodic orbits in optically driven lasers. (English) Zbl 1047.78502
Nonlinear wavefields in optical fibers with finite time response and amplification effects. (English) Zbl 0984.35155
Self-consistent description of radial space-charge confinement in DC column plasmas. (English) Zbl 0991.76100
An optical feedback nonlinear system with a Takens-Bogdanov point: Experimental investigation. (English) Zbl 0956.78007
Numerical solution of a nonlocal identification problem for nonlinear ion transport. (English) Zbl 0954.65077
Šil’nikov-saddle-node interaction near a codimension-2 bifurcation: Laser with injected signal. (English) Zbl 0925.58067
Rigorous results on Ginzburg-Landau models in a film submitted to an exterior parallel magnetic field. II. (English) Zbl 0869.34016
Reviewer: K.R.Schneider (Berlin)
Crisis-induced intermittency in a spatially extended nonlinear optical system. (English) Zbl 0875.58015
Thermal runaway in a non-local problem modelling Ohmic heating. I: Model derivation and some special cases. (English) Zbl 0843.35008
Thermal runaway in a nonlocal problem modelling Ohmic heating. II: General proof of blow-up and asymptotics of runaway. (English) Zbl 0849.35058
Subharmonic hysteresis and period doubling bifurcations for a periodically driven laser. (English) Zbl 0809.34054
On the numerical detection of codimension-3 bifurcations of periodic solutions (with application to optical bistability). (English) Zbl 0870.58080
Chaotic behaviour of deterministic dissipative systems. (English) Zbl 0747.58002
Cambridge etc.: Cambridge University Press. x, 367 p. (1991).
Reviewer: K.Brod (Berlin)
On a codimension-four bifurcation occurring in optical bistability. (English) Zbl 0734.58033
Singularity theory and its applications. Pt. II: Singularities, bifurcations and dynamics, Proc. Symp., Warwick/UK 1988-89, Lect. Notes Math. 1463, 107-121 (1991).
Reviewer: M.A.Teixeira (Campinas)
Chaotic behavior in nonlinear polarization dynamics. (English) Zbl 0707.58025
Solitons in physics, mathematics, and nonlinear optics, Proc. 2 Workshops, IMA Program Nonlinear Waves, Minneapolis/MN (USA) 1988-89, IMA Vol. Math. Appl. 25, 45-63 (1990).
Reviewer: C.Mira
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
Nonlinear and nonlocal dynamics of spatially extended systems: Stationary states, bifurcations and stability. (English) Zbl 0644.45004
Reviewer: C.Constanda
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