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searching for Nonlinear Schrödinger equation 26 found (97 total)

alternate case: nonlinear Schrödinger equation

Digital back-propagation (149 words) [view diff] exact match in snippet view article find links to article

back-propagation algorithm in the digital domain by solving the inverse nonlinear Schrödinger equation of the fiber link using the split-step Fourier method (SSFM)

Jean Bourgain (1,527 words) [view diff] exact match in snippet view article find links to article

1007/BF01895688. S2CID 124191732. Bourgain, J. (1994). "Periodic nonlinear Schrödinger equation and invariant measures". Communications in Mathematical Physics

Gigliola Staffilani (1,055 words) [view diff] exact match in snippet view article find links to article

T. Almost conservation laws and global rough solutions to a nonlinear Schrödinger equation. Math. Res. Lett. 9 (2002), no. 5-6, 659–682. Staffilani, Gigliola;

Modified Morlet wavelet (102 words) [view diff] exact match in snippet view article find links to article

functions are derived intuitively from the solutions of the nonlinear Schrödinger equation in the anomalous and normal dispersion regimes in a similar

Alan C. Newell (864 words) [view diff] exact match in snippet view article find links to article

Solutions. Was one of the first (with Benney) to derive the nonlinear Schrödinger equation as the universal equation for nonlinear dispersive wave envelopes

Catherine Sulem (500 words) [view diff] exact match in snippet view article find links to article

understanding of many nonlinear phenomena associated with the focusing nonlinear Schrödinger equation and the water wave problem". She is also a fellow of the American

Sergei B. Kuksin (460 words) [view diff] exact match in snippet view article find links to article

Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation, Annals of Mathematics, Vol. 143, 1996, pp. 149–179 doi:10.2307/2118656

Terence Tao (6,599 words) [view diff] exact match in snippet view article find links to article

"Almost conservation laws and global rough solutions to a nonlinear Schrödinger equation". Mathematical Research Letters. 9 (5–6): 659–682. arXiv:math/0203218

Integrable algorithm (1,091 words) [view diff] exact match in snippet view article find links to article

aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation". Journal of Computational Physics. 55 (2). Elsevier BV: 203–230

Håkan Eliasson (388 words) [view diff] exact match in snippet view article find links to article

Kuksin: Eliasson, L. Hakan; Kuksin, Sergei (2010). "KAM for the nonlinear Schrödinger equation". Annals of Mathematics. 172: 371–435. arXiv:0709.2393. doi:10

Riemann–Hilbert problem (3,708 words) [view diff] case mismatch in snippet view article find links to article

EMS Press. Its, A.R. (1982), "Asymptotics of Solutions of the Nonlinear Schrödinger Equation and Isomonodromic Deformations of Systems of Linear Differential

Cocompact embedding (760 words) [view diff] exact match in snippet view article find links to article

319–337. Terence Tao, A pseudoconformal compactification of the nonlinear Schrödinger equation and applications, New York J. Math. 15 (2009), 265–282. C. Tintarev

Bidyendu Mohan Deb (3,172 words) [view diff] exact match in snippet view article find links to article

hydrodynamical approach to ion-atom collisions through a new generalized nonlinear Schrödinger equation". Phys. Rev. A. 39 (4): 1696–1713. Bibcode:1989PhRvA..39.1696D

Akira Hasegawa (3,184 words) [view diff] exact match in snippet view article find links to article

Whistler wave envelope, he discovered the same equation, the nonlinear Schrödinger equation, applied to the envelope of light pulses in glass fibers. With

Emma Previato (395 words) [view diff] exact match in snippet view article find links to article

Emma. Hyperelliptic quasiperiodic and soliton solutions of the nonlinear Schrödinger equation]. Duke Mathematical Journal 52 (1985), no. 2, 329–377. doi:10

Bôcher Memorial Prize (2,149 words) [view diff] exact match in snippet view article find links to article

Martel] On universality of blow-up profile for L2 critical nonlinear Schrödinger equation. Invent. Math. 156 (2004), no. 3, 565–672 [with Pierre Raphael]

Panayotis G. Kevrekidis (813 words) [view diff] case mismatch in snippet view article find links to article

Winners in that field, while the second is entitled The Discrete Nonlinear Schrödinger Equation: Mathematical Analysis, Numerical Computations and Physical

Schamel equation (2,291 words) [view diff] exact match in snippet view article find links to article

satellite. A connection between the Schamel equation and the nonlinear Schrödinger equation can be made within the context of a Madelung fluid. It results

Martin David Kruskal (2,916 words) [view diff] exact match in snippet view article find links to article

and Shabat discovered an inverse scattering method for the nonlinear Schrödinger equation. Solitons are now known to be ubiquitous in nature, from physics

Self-focusing (3,508 words) [view diff] exact match in snippet view article find links to article

referred to as Bespalov-Talanov instability. In a framework of nonlinear Schrödinger equation : ∂ E ( r → , t ) ∂ z + 1 c ∂ E ( r → , t ) ∂ t + i 2 k ∇ ⊥

Muthusamy Lakshmanan (3,104 words) [view diff] exact match in snippet view article find links to article

dimensional Minkowski space R31, SO(2,1) spin equation and defocusing nonlinear Schrödinger equation". International Journal of Geometric Methods in Modern Physics

Polaron (5,741 words) [view diff] exact match in snippet view article find links to article

masses are cancelled and formation of polaron is described by nonlinear Schrödinger equation with nonadiabatic correction describing phonon frequency renormalization

Method of steepest descent (5,057 words) [view diff] case mismatch in snippet view article find links to article

(2003), "Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrödinger Equation", Annals of Mathematics Studies, vol. 154, Princeton University

Bose–Einstein condensate (9,879 words) [view diff] exact match in snippet view article find links to article

cases, the state of condensed particles can be described with a nonlinear Schrödinger equation, also known as Gross–Pitaevskii or Ginzburg–Landau equation

List of women in mathematics (22,340 words) [view diff] exact match in snippet view article find links to article

anti-Soviet activist Monica Vișan (born 1979), Romanian expert on the nonlinear Schrödinger equation Begoña Vitoriano (born 1967), Spanish applied mathematician

Outline of oceanography (32,647 words) [view diff] exact match in snippet view article find links to article

the oceans Peregrine soliton – An analytic solution of the nonlinear Schrödinger equation Radiation stress – The depth-integrated excess momentum flux