DOI10.1007/978-3-319-12748-4zbMath1351.35001OpenAlexW2485771012MaRDI QIDQ476620
Gadi Fibich
Publication date: 2 December 2014
Published in: Applied Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-12748-4
Vortex solitons in fractional nonlinear Schrödinger equation with the cubic-quintic nonlinearity,
Soliton dynamics in a fractional complex Ginzburg-Landau model,
Coupling of paraxial and white-noise approximations of the Helmholtz equation in randomly layered media,
Loss of physical reversibility in reversible systems,
On the management fourth-order Schrödinger-Hartree equation,
Normalized solutions to p-Laplacian equations with combined nonlinearities*,
Bifurcation of nonlinear Bloch waves from the spectrum in the Gross-Pitaevskii equation,
Orbital stability of smooth solitary waves for the Degasperis-Procesi equation,
Background-enhanced collapse instability of optical Speckle beams in nonlocal nonlinear media,
High-speed excited multi-solitons in competitive power nonlinear Schrödinger equations,
The complex Hamiltonian system in the Gerdjikov-Ivanov equation and its applications,
On stability and instability of standing waves for the nonlinear Schrödinger equation with an inverse-square potential,
Linear instability of breathers for the focusing nonlinear Schrödinger equation,
𝒫𝒯-symmetric and antisymmetric nonlinear states in a split potential box,
A spectral analysis of the nonlinear Schrödinger equation in the co-exploding frame,
Solitons in spin-orbit-coupled systems with fractional spatial derivatives,
Blow-up for the 1D nonlinear Schrödinger equation with point nonlinearity. II: Supercritical blow-up profiles,
On asymptotic dynamics for \(L^2\) critical generalized KdV equations with a saturated perturbation,
On the critical norm concentration for the inhomogeneous nonlinear Schrödinger equation,
Blow-up dynamics and spectral property in the L 2-critical nonlinear Schrödinger equation in high dimensions,
Interactions of three-dimensional solitons in the cubic-quintic model,
Revisiting diffusion: Self-similar solutions and the 𝑡^{-1/2} decay in initial and initial-boundary value problems,
Multidimensional dissipative solitons and solitary vortices,
Interaction of one-dimensional quantum droplets with potential wells and barriers,
Interactions of Localized Wave Structures on Periodic Backgrounds for the Coupled Lakshmanan–Porsezian–Daniel Equations in Birefringent Optical Fibers,
An artificially-damped Fourier method for dispersive evolution equations,
Post-blowup dynamics for the nonlinear Schrödinger equation,
Exact boundary controllability of the linear biharmonic Schrödinger equation with variable coefficients,
Exponential decay estimates for the damped defocusing Schrödinger equation in exterior domains,
Chirped nonlinear waves in the cubic-quintic distributed nonlinear Schrödinger equation with external trap, self-steepening and self-frequency shift,
On well-posedness and concentration of blow-up solutions for the intercritical inhomogeneous NLS equation,
Stabilizing solitons of the cubic-quintic nonlinear Schrödinger equation by frequency-dependent linear gain-loss and delayed Raman response,
The radial bi-harmonic generalized Hartree equation revisited,
\(L^2\)-decay rate for special solutions to critical dissipative nonlinear Schrödinger equations,
Spontaneous symmetry breaking of dual-layer solitons in spin-orbit-coupled Bose-Einstein condensates,
Exploring the nonclassical dynamics of the ``classical Schrödinger equation, Asymptotic stability of solitary waves of the 3D quadratic Zakharov-Kuznetsov equation, On a nonclassical eigenvalue problem with nonlinearizable solutions, Discrete breathers of nonlinear dimer lattices: bridging the anti-continuous and continuous limits, Spin–orbit coupling and nonlinear modes of the polariton condensate in a harmonic trap, Two-dimensional solitons and quantum droplets supported by competing self- and cross-interactions in spin-orbit-coupled condensates, Nonclassical perturbation approach to a nonlinear multiparameter eigenvalue problem arising in electromagnetics, On spatial Fourier spectrum of rogue wave breathers, Discrete nonlocal nonlinear Schrödinger systems: Integrability, inverse scattering and solitons, Long‐time dynamics for the radial focusing fractional INLS, Minimal Mass Blow-Up Solutions for the \(\boldsymbol{L}^{\boldsymbol{2}}\)-Critical NLS with the Delta Potential for Even Data in One Dimension, Collapse dynamics for two-dimensional space-time nonlocal nonlinear Schrödinger equations, One-dimensional localized modes of spin-orbit-coupled Bose-Einstein condensates with spatially periodic modulated atom-atom interactions: nonlinear lattices, Dynamical control of solitons in a parity-time-symmetric coupler by periodic management, Dynamics and stabilization of bright soliton stripes in the hyperbolic-dispersion nonlinear Schrödinger equation, Coupled density-spin Bose-Einstein condensates dynamics and collapse in systems with quintic nonlinearity, Regularizing Nonlinear Schrödinger Equations Through Partial Off-axis Variations, Self-localized solitons of a \(q\)-deformed quantum system, On the integrability aspects of nonparaxial nonlinear Schrödinger equation and the dynamics of solitary waves, Breather stripes and radial breathers of the two-dimensional sine-Gordon equation, Stabilization of one-dimensional Townes solitons by spin-orbit coupling in a dual-core system, Solitary waves and dynamics for subcritical perturbations of energy critical NLS, Blow-up dynamics in the mass super-critical NLS equations, Efficient finite difference methods for the nonlinear Helmholtz equation in Kerr medium, Enhancement of ABCs efficiency at computer simulation of optical pulse interaction with inhomogeneous nonlinear medium, Determination of the blow up point for complex nonautonomous ODE with cubic nonlinearity, Blow-up criteria for linearly damped nonlinear Schrödinger equations, Blow-up results and soliton solutions for a generalized variable coefficient nonlinear Schrödinger equation, Spatiotemporal engineering of matter-wave solitons in Bose-Einstein condensates, Blowup and scattering criteria above the threshold for the focusing inhomogeneous nonlinear Schrödinger equation, On the blow-up solutions for the nonlinear Schrödinger equation with combined power-type nonlinearities, On the instability of standing waves for the nonlinear Schrödinger equation with inverse-square potential, Conservation laws of femtosecond pulse propagation described by generalized nonlinear Schrödinger equation with cubic nonlinearity, The scaling and skewness of optimally transported meshes on the sphere, Blow-up for the 1D nonlinear Schrödinger equation with point nonlinearity. I: Basic theory, Stability of traveling wave solutions of nonlinear dispersive equations of NLS type, An open source virtual laboratory for the Schrödinger equation, Bifurcation of nonlinear bound states in the periodic Gross-Pitaevskii equation with 𝒫𝒯-symmetry, Density Estimation in Uncertainty Propagation Problems Using a Surrogate Model, Talbot carpets by rogue waves of extended nonlinear Schrödinger equations, Multi-component nonlinear Schrödinger equations with nonzero boundary conditions: higher-order vector Peregrine solitons and asymptotic estimates, On the role of four-wave mixing effect in the interactions between nonlinear modes of coupled generalized nonlinear Schrödinger equation, Regularity of nonvanishing – at infinity or at the boundary – solutions of the defocusing nonlinear Schrödinger equation, One- and two-hump solutions of a singularly perturbed cubic nonlinear Schrödinger equation, Finite time extinction for a class of damped Schrödinger equations with a singular saturated nonlinearity, On a class of derivative Nonlinear Schrödinger-type equations in two spatial dimensions, Scattering for the mass super-critical perturbations of the mass critical nonlinear Schrödinger equations, Behavior of solutions to the 1D focusing stochastic nonlinear Schrödinger equation with spatially correlated noise, Modulational instability and sister chirped femtosecond modulated waves in a nonlinear Schrödinger equation with self-steepening and self-frequency shift, Computation and stability of waves in equivariant evolution equations, On the two-power nonlinear Schrödinger equation with non-local terms in Sobolev-Lorentz spaces, Multilevel preconditioning technique for Schwarz waveform relaxation domain decomposition method for real- and imaginary-time nonlinear Schrödinger equation, Fractional Schrödinger equation in gravitational optics, Sharp conditions for scattering and blow-up for a system of NLS arising in optical materials with χ3 nonlinear response, Dynamics of 1D and 3D quantum droplets in parity-time-symmetric harmonic-Gaussian potentials with two competing nonlinearities, Vortex gap solitons in spin-orbit-coupled Bose-Einstein condensates with competing nonlinearities, Orbital stability of periodic standing waves for the cubic fractional nonlinear Schrödinger equation, On symmetry of traveling solitary waves for dispersion generalized NLS, A degenerate edge bifurcation in the 1D linearized nonlinear Schrödinger equation, Solitary waves with intensity-dependent dispersion: variational characterization