Keywords: 00A69; 35-XX; 35B20; 35Q55; Non-linear SH waves; Heterogeneous layer; Bright solitary waves;
مقالات ISI (ترجمه نشده)
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Keywords: 35Q55; 65M06; 65M12; 65M15; Klein-Gordon-Zakharov system; Subsonic limit; Multiscale decomposition; Multiscale time integrator; Uniformly and optimally accurate; Spectral method;
Keywords: 35Q40; 35Q55; 47J30; Fractional Schrödinger equation; L2-supercritical; Scattering; Blow-up;
Keywords: 35J61; 35J20; 35Q55; 49J40; Coupled Hartree equations; Nonlocal interaction; Variational methods;
Keywords: Hartree equation; Threshold criteria; blow-up solution; 35J10; 35Q55;
Keywords: Coupled nonlinear Schrödinger system; Bright soliton; Gauge transformation; Lax pair; 37K40; 35Q51; 35Q55;
Keywords: 35Q55; 34A33; 65P10; 65L20; Nonlinear Schrödinger; Weak turbulence; Conservative integrators;
Keywords: primary; 35Q55; secondary; 42B35; 35A01; Hartree equation; Well-posedness; Modulation spaces;
Keywords: 35Q55; 35B30; Boussinesq equation; Kawahara equation; Ill-posedness; Norm inflation; General initial data;
Keywords: 35Q55; 65M06; 65M012; Relaxation method; Generalized Davey-Stewartson system; Blow-up; Global existence; Plane wave stability;
Keywords: Higher-order Schrödinger equation; Weak interaction; Soliton perturbation theory; 35Q55; 37K10;
Keywords: 35Q30; 35Q35; 35Q40; 35Q53; 35Q55; 76D05; 76Y07; Incompressible viscous and diffusive MHD system; Ideal MHD system; Anisotropic inviscid MHD system; Boundary layer for no-slip boundary conditions;
Keywords: 35J10; 35Q40; 35Q55; 81Q05; Quantum dynamics; Mean-field limits; Bogoliubov theory;
Keywords: 81S05; 81T10; 35Q55; 28A33; Mean-field limit; Second quantization; Wigner measures; Continuity equation;
Keywords: 35Q55; 35B65; 35G25; Nonlinear Schrödinger equation; Analytic solution; Hartree term;
Keywords: 35Q40; 35Q55; 81Q05; Hartree-Fock; Many-body theory; Mean-field limit for fermions;
Keywords: 35P25; 35Q55; 35G25Nonlinear Dirac equation; Scattering operator; Weighted Sobolev space
Keywords: 35J50; 35Q41; 35Q55; 37K45L2L2-normalized solutions; Liouville type results; Quasi-linear Schrödinger equations; Perturbation method
Keywords: 35J50; 35Q41; 35Q55; 37K45Elliptic equations; Quadratic growth in the gradient; Continuum of solutions; Topological degree
Keywords: 35J60; 35Q55; 35J10Kirchhoff-type equation; Hartree-type nonlinearity; Variational methods; Ground state solution
Keywords: 35J20; 35J25; 35J60; 35Q55; 35J65; 47J30; 49B27; 49J40; 58E05Critical points; Linking; Dynamical systems; Periodic solutions
Keywords: Nonautonomous system; orbital stability; standing waves; 35Q55; 35A15; 35B30;
Keywords: 5J20; 35Q55; 35B38; 35R11; Variational methods; Polynomial decay; Fractional Laplacian; Choquard equations;
Keywords: 35Q55; 35Q40Fractional NLS; Hartree type potential; Short-range interaction; Small data scattering
Keywords: 35Q53; 35Q80; 35Q55; 35G25Kudryashov method; 3D- Gross–Pitaevskii equation; Solitary wave solutions
Keywords: 35R02; 35Q55; 81Q35; 35Q40Metric graphs; NLS; Localized nonlinearity; Bound states
Small data scattering of semirelativistic Hartree equation
Keywords: 35Q55; 35Q53; Semirelativistic Hartree equation; Yukawa type potential; Small data scattering; Angularly averaged Strichartz estimate; Up and Vp spaces;
Existence and uniqueness of ground states for p-Choquard model
Keywords: 35Q51; 35Q40; 35Q55; 49S05; p-Choquard equation; Nonlocal nonlinearity; Ground state;
Families of semi-rational solutions to the Kadomtsev-Petviashvili I equation
Keywords: Kadomtsev-Petviashvili I equation; KP hierarchy reduction method; Breathers; Lumps; Semi-rational solutions; 35Q51; 35Q55; 37K10; 37K35; 37K40;
DSF chain for biorthogonal polynomials and its application to matrix eigenvalue problems
Keywords: 33D45; 35Q55; 37K10; 37K35; 41A21; 42C05; 65F15; Schur flow; Qd-algorithm; Matrix eigenvalue problems; Numerical algorithms; Integrable systems; Biorthogonal polynomials;
Soliton solutions and eigenfunctions of linearized operator for a higher-order nonlinear Schrödinger equation
Keywords: Partial differential equations; Higher-order Schrödinger equation; Linearization operator; Squared eigenfunctions; Soliton perturbation theory; 35Q55; 37K10;
Bilinearisation-reduction approach to the nonlocal discrete nonlinear Schrödinger equations
Keywords: Nonlocal discrete nonlinear Schrödinger equation; Bilinear; Reduction; Double Casoratian solutions; 35Q51; 35Q55;
New classes of solutions in the coupled PT symmetric nonlocal nonlinear Schrödinger equations with four wave mixing
Keywords: Coupled nonlinear Schrödinger system; Soliton; Breathers; Darboux transformation; Lax pair; Four-wave mixing; 37K40; 35Q51; 35Q55;
General high-order breathers and rogue waves in the (3+1)-dimensional KP-Boussinesq equation
Keywords: (3+1)-dimensional KP-Boussinesq equation; Rogue wave solution; Bilinear method; Breather solution; 35Q51; 35Q55; 37K10; 37K35; 37K40;
Higher-order rational solutions for a new integrable nonlocal fifth-order nonlinear Schrödinger equation
Keywords: 35Q55; 37K10; Nonlocal nonlinear Schrödinger equation; Lax pair; Darboux transformation; Rational solution;
Orbital stability of standing waves for a system of nonlinear Schrödinger equations with three wave interaction
Keywords: 35Q55; 35A15; 35B35; Nonlinear Schrödinger system; Solitary wave; Orbital stability;
Minimal mass blow-up solutions for the L2 critical NLS with inverse-square potential
Keywords: 35Q55; 35B44; 35C06; L2 critical NLS; Inverse-square potential; Sharp global well-posedness; Finite time blow-up; Classification;
Blowup of H1 solutions for a class of the focusing inhomogeneous nonlinear Schrödinger equation
Keywords: 35B44; 35Q55; Inhomogeneous nonlinear Schrödinger equation; Blowup; Virial identity; Gagliardo-Nirenberg inequality;
The fractional Schrödinger equation with Hardy-type potentials and sign-changing nonlinearities
Keywords: 35Q55; 35A15; 35J20; 35R11; 58E05; Ground state; Variational methods; Nehari manifold; Fractional Schrödinger equation; Periodic and localized potentials; Hardy inequality; Sign-changing nonlinearity;
A note on the nonlinear Schrödinger equation in a general domain
Keywords: primary; 35Q55; secondary; 35B30; 35R01; Nonlinear Schrödinger equation; General domain;
Solitary waves in nonlocal NLS with dispersion averaged saturated nonlinearities
Keywords: primary; 35Q55; secondary; 35Q50; Saturated nonlinearities; Nonlocal NLS; Solitary waves; Nonlocal variational problems;
Modified scattering for the critical nonlinear Schrödinger equation
Keywords: primary; 35Q55; secondary; 35B40; Nonlinear Schrödinger equation; Pseudo-conformal transformation; Modified scattering;
On the derivation of the Hartree equation from the N-body Schrödinger equation: Uniformity in the Planck constant
Keywords: 82C10; 35Q41; 35Q55; 82C05; 35Q83; Schrödinger equation; Hartree equation; Mean-field limit; Classical limit;
Stability of the sum of two solitary waves for (gDNLS) in the energy space
Keywords: primary; 35L70; secondary; 35Q55; Generalized derivative Schrödinger equation; Orbitally stability; Solitary waves;
Rapid stabilization of a linearized bilinear 1-D Schrödinger equation
Keywords: 35Q55; 93D15; 93B52; Schrödinger equation; Rapid stabilization; Integral transform;
Small data well-posedness for derivative nonlinear Schrödinger equations
Keywords: 35Q55; 35A01; 35B45; Derivative nonlinear Schrödinger equations; Local well-posedness; Global well-posedness;
The nonlinear Schrödinger equation with a potential
Keywords: 35Q55; 35B34; Nonlinear Schrödinger equation; Distorted Fourier transform; Scattering theory; Modified scattering;
Controllability of quasi-linear Hamiltonian NLS equations
Keywords: 35Q55; 35Q93;
Nonhomogeneous boundary-value problems for one-dimensional nonlinear Schrödinger equations
Keywords: 35Q55; 35Q35; Nonlinear Schrödinger equations; Initial boundary value problems; Boundary integral method;
Almost conservation laws and global rough solutions of the defocusing nonlinear wave equation on â2
Keywords: Defocusing nonlinear wave equation; global well-posedness; I-method; linear-nonlinear decomposition; below energy space; 35A01; 35Q55;