Found 72 Documents (Results 1–72)
Stability analysis from higher order nonlinear Schrödinger equation for interfacial capillary-gravity waves. (English) Zbl 1522.76032
Accurate absorbing boundary conditions for the two-dimensional nonlocal Schrödinger equations. (English) Zbl 1529.65017
A high-order multiscale discontinuous Galerkin method for two-dimensional Schrödinger equation in quantum transport. (English) Zbl 1502.65196
Fully localised three-dimensional gravity-capillary solitary waves on water of infinite depth. (English) Zbl 1501.76016
A local discontinuous Galerkin method with generalized alternating fluxes for 2D nonlinear Schrödinger equations. (English) Zbl 1499.65545
Symmetry breaking in two-dimensional square grids: persistence and failure of the dimensional crossover. (English) Zbl 1486.35007
Reviewer: Guido Schneider (Stuttgart)
Finite dimensional global attractor for a damped fractional anisotropic Schrödinger type equation with harmonic potential. (English) Zbl 1460.35044
The inverse problem and the second order \(\theta\) scheme with finite element method used for 2D nonlinear space fractional Schrödinger equation. (English) Zbl 1464.65101
Split-step spectral Galerkin method for the two-dimensional nonlinear space-fractional Schrödinger equation. (English) Zbl 1407.65230
An efficient finite element method for the two-dimensional nonlinear time-space fractional Schrödinger equation on an irregular convex domain. (English) Zbl 1412.65140
Breaking waves and spectral analysis of the two-dimensional KdV-Bogoyavlenskii equation. (English) Zbl 1406.35337
Reviewer: Ti-Jun Xiao (Fudan)
Highly accurate numerical schemes for multi-dimensional space variable-order fractional Schrödinger equations. (English) Zbl 1412.65162
Limiting absorption principle for the magnetic Dirichlet Laplacian in a half-plane. (English) Zbl 1350.35071
Reviewer: Anthony D. Osborne (Keele)
Analytical studies of soliton pulses along two-dimensional coupled nonlinear transmission lines. (English) Zbl 1352.35013
Asymptotics of the Hartree operator spectrum near the upper boundaries of spectral clusters: asymptotic solutions localized near a circle. (English. Russian original) Zbl 1327.81200
Theor. Math. Phys. 183, No. 1, 516-526 (2015); translation from Teor. Mat. Fiz. 183, No. 1, 78-89 (2015).
A spectral element method using the modal basis and its application in solving second-order nonlinear partial differential equations. (English) Zbl 1307.65138
Exact solutions of five complex nonlinear Schrödinger equations by semi-inverse variational principle. (English) Zbl 1298.35005
Multi-symplectic splitting method for two-dimensional nonlinear Schrödinger equation. (English) Zbl 1247.35140
Numerical studies on the two-dimensional Schrödinger equation by the Chebyshev spectral collocation method. (English) Zbl 1240.65304
Symplectic and multi-symplectic wavelet collocation methods for two-dimensional Schrödinger equations. (English) Zbl 1207.65120
Appl. Numer. Math. 61, No. 3, 308-321 (2011); erratum ibid. 61, No. 8, 974-976 (2011).
New exact solutions with functional parameters of the Nizhnik-Veselov-Novikov equation with constant asymptotic values at infinity. (English. Russian original) Zbl 1255.81135
Theor. Math. Phys. 165, No. 2, 1470-1489 (2010); translation from Teor. Mat. Fiz. 165, No. 2, 272-294 (2010).
Symplectic and multi-symplectic schemes for the two-dimensional nonlinear Schrödinger equation. (Chinese. English summary) Zbl 1240.65369
Integrable discretizations for the short-wave model of the Camassa-Holm equation. (English) Zbl 1196.37106
Temporally-periodic solitons of the parametrically driven damped nonlinear Schrödinger equation. (English) Zbl 1233.65080
Margenov, Svetozar (ed.) et al., Numerical analysis and its applications. 4th international conference, NAA 2008, Lozenetz, Bulgaria, June 16–20, 2008. Revised selected papers. Berlin: Springer (ISBN 978-3-642-00463-6/pbk). Lecture Notes in Computer Science 5434, 139-150 (2009).
Ground state mass concentration in the \(L^2\)-critical nonlinear Schrödinger equation below \(H^1\). (English) Zbl 1084.35088
Reviewer: Boris V. Loginov (Ul’yanovsk)
Vorticity and incompressible flow. (English) Zbl 0983.76001
Cambridge Texts in Applied Mathematics. Cambridge: Cambridge University Press (ISBN 0-521-63057-6/hbk; 0-521-63948-4/pbk). xii, 545 p. (2002).
Reviewer: Vladimir Shelukhin (Novosibirsk)
Nonlinear stability of a fluid-loaded elastic plate with mean flow. (English) Zbl 1002.76036
Reviewer: Mariano Rodriguez Ricard (La Habana)
Nonlinear surface spin waves on ferromagnetic media with inhomogeneous exchange anisotropies: soliton solutions. (English) Zbl 0972.35143
Nonlinear waves, solitons and chaos. 2nd ed. (English) Zbl 0994.76001
Cambridge: Cambridge University Press. xiv, 391 p. (2000).
Reviewer: Arnd Scheel (Berlin)
Quasi-two-dimensional hydrodynamics and interaction of vortex tubes. (English) Zbl 0947.76011
Passot, Thierry (ed.) et al., Nonlinear MHD waves and turbulence. Proceedings of the workshop, Nice, France, December 1-4, 1998. Berlin: Springer. Lect. Notes Phys. 536, 369-385 (1999).
Reviewer: O.Titow (Berlin)
Quasi-periodic solutions of Hamiltonian perturbations of 2D linear Schrödinger equations. (English) Zbl 0928.35161
Reviewer: Vadim Komkov (Florida)
On the initial-value problem for the generalized two-dimensional Ginzburg-Landau equation. (English) Zbl 0890.35137
Reviewer: Guo Boling (Beijing)
On some NLS systems and their applications. (English) Zbl 0917.35127
Vázquez, Luis (ed.) et al., Proceedings of the Euroconference on nonlinear Klein-Gordon and Schrödinger systems: theory and applications, Madrid, Spain, September 25–30, 1995. Singapore: World Scientific. 215-233 (1996).
Nonlinear surface waves travelling over a corrugated elastic half-space. (English) Zbl 0874.73014
Parker, D. F. (ed.) et al., IUTAM symposium on anisotropy, inhomogeneity and nonlinearity in solid mechanics. Proceedings of the IUTAM-ISIMM symposium, Nottingham, UK, August 30 - September 3, 1994. Dordrecht: Kluwer Academic Publishers. Solid Mech. Appl. 39, 463-468 (1995).
Reviewer: E.Syrkin (Khar’kov)
MSC:
74J15
Asymptotic behaviour for a weakly damped Schrödinger equation in dimension two. (English) Zbl 0791.35125
Nonlinear Rayleigh-Taylor instability in magnetic fluids with uniform horizontal and vertical magnetic fields. (English) Zbl 0776.76034
Topics in soliton theory. (English) Zbl 0777.35072
North-Holland Mathematics Studies. 167. Amsterdam etc.: North-Holland. xii, 428 p. (1991).
Reviewer: A.Bobenko (St.Peterburg)
Spectral characterization of 2-D nonlinear coherent structures. (English) Zbl 0734.35103
Nonlinear coherent structures, Proc. 6th Interdisciplinary Workshop, Montpellier/Fr. 1989, Lect. Notes Phys. 353, 241-250 (1990).
Nonlinear waves 1. Dynamics and evolution. Transl. from the Russian. (English) Zbl 0677.76001
Research Reports in Physics. Berlin etc.: Springer-Verlag. xii, 238 p. DM 98.00 (1989).
Reviewer: E.Nicolau
A note to slow-dirft motion of a two-dimensional block in beam seas. (Chinese. English summary) Zbl 0665.76016
Two-dimensional nonlinear Schrödinger equation and self-focusing in a two-fluid model of Newtonian cosmological perturbations. (English) Zbl 0663.76033
A finite-element study of the onset of vortex shedding in flow past variously shaped bodies. (English) Zbl 0639.76041
Slow evolution of nonlinear deep water waves in two horizontal directions: A numerical study. (English) Zbl 0613.76015
Two-dimensional disturbance travel, growth and spreading in boundary layers. (English) Zbl 0608.76043
Variational formulation for the evolution of a deep-water wavetrain in two space dimensions. (English) Zbl 0584.76018
Oblique wave groups in deep water. (English) Zbl 0569.76021
Reviewer: R.Grimshaw
MSC:
76B15
The Korteweg-de Vries equation and related problems in water wave theory. (English) Zbl 0571.76011
Nonlinear waves, 25-43 (1983).
Exact solutions of certain spatially two-dimensional, nonlinear equations. (Russian) Zbl 0546.35016
Spectral theory of operators in problems of mathematical physics, Collect. sci. Works, Kiev 1983, 112-115 (1983).
Reviewer: D.Mangeron
The structure of the spectrum of the two-dimensional Schrödinger operator with periodic potential, and some arithmetic properties of two- dimensional lattices. (English) Zbl 0525.47034
Asymptotic formulae for solutions of a system of nonlinear Schrödinger equations. (English) Zbl 0548.35016
Infinite component two-dimensional completely integrable systems of KdV type. (English) Zbl 0518.35025
The Riemann problem, complete integrability and arithmetic applications, Proc. Semin., France and USA 1979-1980, Lect. Notes Math. 925, 71-84 (1982).
General superposition of solitons and various ripplons of a two- dimensional nonlinear Schrödinger equation. (English) Zbl 0502.35077
The structure of the spectrum of the two-dimensional Schrödinger operator with periodic potential and some arithmetical properties of two- dimensional lattices. (Russian) Zbl 0483.47029
Solutions of the generalized nonlinear Schrödinger equation in two spatial dimensions. (English) Zbl 0425.35087
Exact envelope-soliton solutions of a two-dimensional nonlinear wave equation. (English) Zbl 0421.76015
On the evolution of packets of water waves. (English) Zbl 0413.76009
MSC:
76B15
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