Small solutions of nonlinear Schrödinger equations near first excited states
Keywords: معادله غیر خطی Schrödinger; Nonlinear Schrödinger equation; First excited state;
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Interaction of oblique dark solitons in two-dimensional supersonic nonlinear Schrödinger flow
Keywords: معادله غیر خطی Schrödinger; Bose-Einstein condensate; Nonlinear Schrödinger equation; Nonlinear waves; Dark solitons;
Analytic investigation on the similariton transmission control in the dispersion decreasing fiber
Keywords: معادله غیر خطی Schrödinger; Nonlinear Schrödinger equation; Similariton; Transmission control; Dispersion decreasing fibers;
Integrable NLS equation with time-dependent nonlinear coefficient and self-similar attractive BEC
Keywords: معادله غیر خطی Schrödinger; Nonlinear Schrodinger equation; Bose-Einstein condensate (BEC); Soliton; Hirota bilinear method;
Variational approximations in discrete nonlinear Schrödinger equations with next-nearest-neighbor couplings
Keywords: معادله غیر خطی Schrödinger; Nonlinear Schrödinger equation; Solitons; Variational approximation; Bifurcations; Nonlinear lattices; Non-nearest-neighbor interactions;
Exact solitary solutions of an inhomogeneous modified nonlinear Schrödinger equation with competing nonlinearities
Keywords: معادله غیر خطی Schrödinger; Nonlinear Schrödinger equation; Exact solutions; Solitons; Symbolic computation; Tanh method; Sine-cosine method;
A note on blow-up phenomena for mass critical nonlinear Schrödinger equation
Keywords: معادله غیر خطی Schrödinger; Nonlinear Schrödinger equation; Mass critical; Concentration; Large mass;
Green's function-stochastic methods framework for probing nonlinear evolution problems: Burger's equation, the nonlinear Schrödinger's equation, and hydrodynamic organization of near-molecular-scale vorticity
Keywords: معادله غیر خطی Schrödinger; Green's function methods; Stochastic methods; Advection-diffusion problems; Burger's equation; Nonlinear Schrödinger equation; Burger's vortex; Random strain field; Feynman-Kac solution of vorticity transport; Cole-Hopf derivation; Ornsteinâ
One-dimensional EM solitons in ultrashort intense laser pulse-partially stripped plasmas
Keywords: معادله غیر خطی Schrödinger; Electromagnetic soliton; Partially stripped plasmas; Nonlinear Schrödinger equation;
Solitary wave solutions of higher-order NLSE with Raman and self-steepening effect in a cubic–quintic–septic medium
Keywords: معادله غیر خطی Schrödinger; 42.81.Dp; 42.65.Tg; 42.79.Sz; 05.45.YvSolitary wave; Nonlinear Schrodinger equation; Non-Kerr medium
Remarks on the blow-up rate for critical nonlinear Schrödinger equation with harmonic potential
Keywords: معادله غیر خطی Schrödinger; Blow-up rate; Nonlinear Schrödinger equation; Harmonic potential; Attractive Bose-Einstein condensates;
The nonlinear Dirac equation in Bose–Einstein condensates: Foundation and symmetries
Keywords: معادله غیر خطی Schrödinger; 05.45.-a; 03.75.-b; 67.85.HjNonlinear Dirac equation; Nonlinear Schrodinger equation; Bose–Einstein condensates; Ultra-cold atoms; Optical lattices; Graphene
Modulation instability: The beginning
Keywords: معادله غیر خطی Schrödinger; 41.20.Jb; 42.65.SF; 42.65.TG; 47.10.Df; 47.35.BbInstability; BFL criterion; Nonlinear Schrodinger equation; Envelope waves; Active systems
Multilayer perceptron neural networks with novel unsupervised training method for numerical solution of the partial differential equations
Keywords: معادله غیر خطی Schrödinger; Multilayer perceptron; Radial basis function; Partial differential equation; Ordinary differential equation; Nonlinear Schrodinger equation; Hydrogen atom; Triangle-shaped quantum well
Extended nonlinear waves in multidimensional dynamical lattices
Keywords: معادله غیر خطی Schrödinger; 05.45.Yv; 42.65.Tg; 03.75.Lm; 04.60.Nc; Nonlinear lattices; Discrete solitons; Nonlinear Schrödinger equation;
Soliton generation from randomly modulated return-to-zero pulses
Keywords: معادله غیر خطی Schrödinger; Random phase modulation; Nonlinear Schrödinger equation; Optical solitons;
The wave-corpuscle duality of microscopic particles depicted by nonlinear Schrödinger equation
Keywords: معادله غیر خطی Schrödinger; 02.60.Cb; 03.65.âw; Wave-corpuscle duality; Microscopic particle; Nonlinear Schrödinger equation; Nonlinear interaction; Quantum mechanics; Soliton;
Exact and explicit solutions of higher-order nonlinear equations of Schrödinger type
Keywords: معادله غیر خطی Schrödinger; 02.30.Jr; 42.81.Dp.; 42.65.Tg.; 05.45.Yv.; 52.35.Sb.; Nonlinear Schrödinger equation; Exact solutions; Generalized Jacobi elliptic function method;
Theory of singular vortex solutions of the nonlinear Schrödinger equation
Keywords: معادله غیر خطی Schrödinger; 42.65.Jx; 42.65.-k; Nonlinear Schrödinger equation; Vortex; Supercritical; Critical; Self-similar solution; Singularity; Collapse; Ring profile; Blowup rate; Critical power; Power concentration;
A reliable treatment for nonlinear Schrödinger equations
Keywords: معادله غیر خطی Schrödinger; Nonlinear Schrödinger equation; Cubic nonlinearity; Power law nonlinearity; Exp-function;
Construction of solutions with exactly k blow-up points for nonlinear Schrödinger equation with a harmonic potential
Keywords: معادله غیر خطی Schrödinger; Nonlinear Schrödinger equation; Harmonic potential; Blow-up solution; Blow-up point; L2-mass concentration;
Interactions of dispersive shock waves
Keywords: معادله غیر خطی Schrödinger; Dispersive shock waves; Dispersive shock wave interactions; Shock waves; Shock wave interactions; Bose–Einstein condensates; Nonlinear optics; Nonlinear Schrodinger equation
Ultraslow bistable solitons in a cold medium
Keywords: معادله غیر خطی Schrödinger; 42.65.Pc; 42.50.Gy; 42.65.Tg; 05.45.Yv; Bistable soliton; Nonlinear Schrödinger equation; Electromagnetically induced transparency;
Sharp condition of global existence for nonlinear Schrödinger equation with a harmonic potential
Keywords: معادله غیر خطی Schrödinger; Sharp condition; Global existence; Nonlinear Schrödinger equation; Harmonic potential; Bose-Einstein condensates;
New conservation schemes for the nonlinear Schrödinger equation
Keywords: معادله غیر خطی Schrödinger; Lie group methods; Nonlinear Schrödinger equation; Cayley transform; Square-conservation scheme;
Quantum lattice representations for vector solitons in external potentials
Keywords: معادله غیر خطی Schrödinger; Quantum lattice gas; Solitons; Manakov solitons; Nonlinear Schrodinger equation; Gross-Pitaevskii equation; Optical fibers;
Bose-Einstein solitons in time-dependent linear potential
Keywords: معادله غیر خطی Schrödinger; 03.75.Fi; 05.45.Yv; 02.30.Jr; Bose-Einstein condensate; F-expansion method; Nonlinear Schrödinger equation; Solitons;
Instabilities of one-dimensional trivial-phase solutions of the two-dimensional cubic nonlinear Schrödinger equation
Keywords: معادله غیر خطی Schrödinger; Stability; Nonlinear Schrödinger equation; NLS; Periodic solutions; Traveling waves;
Supercontinuum generation by the modulation instability
Keywords: معادله غیر خطی Schrödinger; 47.20.Ky; 47.20.Bp; 47.32.ây; 47.54.+r; Nonlinear Schrödinger equation; Optical fiber; Modulation instability;
Femtosecond second-order solitons in optical fiber transmission
Keywords: معادله غیر خطی Schrödinger; Ultrashort optical pulse; Optical pulse propagation; Femtosecond second-order soliton; Nonlinear effects; Nonlinear Schrödinger equation;
Nonlinear dynamics of secondary protein folding
Keywords: معادله غیر خطی Schrödinger; 87.15.-v; 87.15.By; 05.45.-a; 41.20.Jb; Folding pathway; Protein folding; Nonlinear excitation; Soliton; Nonlinear Schrödinger equation;
Generalized projection operator method to derive the pulse parameters equations for the nonlinear Schrödinger equation
Keywords: معادله غیر خطی Schrödinger; 42.81.Dp; 42.65.Tg; 05.45.Yv; Nonlinear Schrödinger equation; Optical fibers; Lagrangian variational method; Ordinary differential equations; Projection operator method; Collective variable;
The modulational instability of Stokes waves on the surface of finite-depth fluid
Keywords: معادله غیر خطی Schrödinger; Nonlinear Schrödinger equation; Modulational instability; Stokes waves; Roque wave; Restabilization;
Canonical quantization of classical systems with generalized entropies
Keywords: معادله غیر خطی Schrödinger; nonlinear Schrödinger equation; nonlinear kinetics; generalized entropy;
Optical quasi-soliton solutions for higher-order nonlinear Schrödinger equation with variable coefficients
Keywords: معادله غیر خطی Schrödinger; 42.81Dp; 42.79.Sz; 42.65.Tg; Optical quasi-soliton solutions; Tanh-function method; Nonlinear Schrödinger equation;
Exact gray multi-soliton solutions for nonlinear Schrödinger equation with variable coefficients
Keywords: معادله غیر خطی Schrödinger; 42.81.Dp; 42.65.Tg; 05.45.Yv; Nonlinear Schrödinger equation; Variable coefficients; Soliton management; Inhomogeneous fiber; Gray multi-soliton solutions;
Nonlinear Schrödinger equation with a white-noise potential: Phase-space approach to spread and singularity
Keywords: معادله غیر خطی Schrödinger; Nonlinear Schrödinger equation; Random potential; Wave spread; Blow-up;
Higher order approximations in reductive perturbation method: strongly dispersive waves
Keywords: معادله غیر خطی Schrödinger; 42.25.Bs; 42.81.Dp; 43.25.Fe; 43.35.Kp; Modified reductive perturbation method; Progressive waves; Nonlinear Schrödinger equation;
The Da Rios system under a geometric constraint: the Gilbarg problem
Keywords: معادله غیر خطی Schrödinger; 37N10; 76B47; 76Q05; 02.40.H; 02.30.J; 03.40.G; Dynamical systems; Heisenberg spin equation; Steady hydrodynamic flows; Streamline pattern; Nonlinear Schrödinger equation; Da Rios system;
Linear versus nonlinear dissipation for critical NLS equation
Keywords: معادله غیر خطی Schrödinger; 05.45.â a; 52.35 Bj; 52.35 Mw; 42.65.Jx; Nonlinear Schrödinger equation; Wave collapse; Weak dissipation;
Renormalization group reduction of pulse dynamics in thermally loaded optical parametric oscillators
Keywords: معادله غیر خطی Schrödinger; 02.30.Jr; 04.30.Nk; Nonlinear Schrödinger equation; Optical parametric oscillator; Renormalization group;
Ground states for Schrödinger-type equations with nonlocal nonlinearity
Keywords: معادله غیر خطی Schrödinger; 35M99; 35B40; 49J40; Stability; Solitary waves; Nonlinear Schrödinger equation;
A continuation BSOR-Lanczos-Galerkin method for positive bound states of a multi-component Bose-Einstein condensate
Keywords: معادله غیر خطی Schrödinger; Multi-component Bose-Einstein condensate; Continuation BSOR-Lanczos-Galerkin method; Gross-Pitaevskii equation; Gauss-Seidel-type iteration; Nonlinear Schrödinger equation;
A multisymplectic integrator for the periodic nonlinear Schrödinger equation
Keywords: معادله غیر خطی Schrödinger; Multisymplectic integrator; Nonlinear Schrödinger equation;
Ground states for the higher-order dispersion managed NLS equation in the absence of average dispersion
Keywords: معادله غیر خطی Schrödinger; Nonlinear Schrödinger equation; Dispersion management; Ground states;
Local discontinuous Galerkin methods for nonlinear Schrödinger equations
Keywords: معادله غیر خطی Schrödinger; 65M60; 35Q55; Local discontinuous Galerkin method; Nonlinear Schrödinger equation;
New singular solutions of the nonlinear Schrödinger equation
Keywords: معادله غیر خطی Schrödinger; 42.65.Jx; 42.65.â k; Nonlinear Schrödinger equation; Self-similar solution; Singularity; Collapse; Ring profile; Blowup rate;
Existence of positive multi-peaked solutions to a nonlinear Schrödinger equation arising in nonlinear optics
Keywords: معادله غیر خطی Schrödinger; Nonlinear Schrödinger equation; Multi-peaked solution;
On invariant tori of full dimension for 1D periodic NLS
Keywords: معادله غیر خطی Schrödinger; Nonlinear Schrodinger equation; Invariant tori; Normal forms;
Bifurcation analysis of a two-component Bose-Einstein condensate
Keywords: معادله غیر خطی Schrödinger; Nonlinear Schrödinger equation; Bose-Einstein condensate; Pitchfork bifurcation; Gross-Pitaevskii equation;