Keywords: معادله سینو گوردون; Sine-Gordon equation; Complex forms of the simplified Hirota's method; multiple complex soliton solutions;
مقالات ISI معادله سینو گوردون (ترجمه نشده)
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Keywords: معادله سینو گوردون; Solitons; sine-Gordon equation; Simulations; Ferronematic;
Keywords: معادله سینو گوردون; Partial differential equations on networks; Hamiltonian partial differential equations; Graph theory; Sine-Gordon equation;
Keywords: معادله سینو گوردون; Constant astigmatism equation; Surface of constant astigmatism; Sine-Gordon equation; Pseudospherical surface; Bäcklund transformation; Exact solution;
Keywords: معادله سینو گوردون; Fractional order; Caputo sense; Picard's method; Bratu's problem; Dual solutions; Sine-Gordon equation;
Keywords: معادله سینو گوردون; Variational homotopy perturbation method; Klein-Gordon equation; sine-Gordon equation;
Keywords: معادله سینو گوردون; Long Josephson junctions; Sine-Gordon equation; Band-gaps; Arnold tongues;
Keywords: معادله سینو گوردون; Hirota bilinerization; Sine-Gordon equation;
Keywords: معادله سینو گوردون; boundary control; energy control; Speed-Gradient; sine-Gordon equation
Keywords: معادله سینو گوردون; sine-Gordon equation; semi-discrete equation; conservation laws05.45.Yv; 02.30.Jr; 02.30.Ik
Keywords: معادله سینو گوردون; Feedback control; Nonlinear waves; Sine-Gordon equation; Numerical solution;
Keywords: معادله سینو گوردون; Nonlinear partial differential equation; Soliton-like structures model; Meshless methods; Optimal sampling density; Kernel interpolation; Sine-Gordon equation;
Keywords: معادله سینو گوردون; Hamiltonian system; Energy-preserving formula; Structure-preserving algorithm; Oscillatory differential equation; Average Vector Field formula; Fermi-Pasta-Ulam problem; Sine-Gordon equation;
Keywords: معادله سینو گوردون; 37K15; 41A60; 35P25; Spectral function; Sine-Gordon equation; Inverse scattering; Initial-boundary value problem;
The Sine-Gordon solitons in nematic liquid crystals under the external electric field
Keywords: معادله سینو گوردون; Nematic liquid crystals; Sine-Gordon equation; Kink and anti-kink Sine-Gordon solitons;
Soliton solutions of the sine-Gordon equation on the half line
Keywords: معادله سینو گوردون; Solitons; Boundary-value problems; Sine-Gordon equation; Boundary bound states; Darboux transformation;
Dynamics of ac-driven sine-Gordon equation for long Josephson junctions with fast varying perturbation
Keywords: معادله سینو گوردون; Long Josephson junctions; Rapidly oscillating ac-drive; Method of averaging; Perturbation techniques; Multiple-scale analysis; Sine-Gordon equation;
Superconvergence of the local discontinuous Galerkin method for the sine-Gordon equation in one space dimension
Keywords: معادله سینو گوردون; Sine-Gordon equation; Local discontinuous Galerkin method; Superconvergence; Projections; Error estimates;
A fourth-order AVF method for the numerical integration of sine-Gordon equation
Keywords: معادله سینو گوردون; Energy-preserving; Average vector field method; Pseudo-spectral method; Sine-Gordon equation; Soliton; 37K05; 65M20; 65M70;
On the variational structure of breather solutions I: Sine-Gordon equation
Keywords: معادله سینو گوردون; Sine-Gordon equation; Breather; Stability;
Superconvergence of the local discontinuous Galerkin method for the sine-Gordon equation on Cartesian grids
Keywords: معادله سینو گوردون; Local discontinuous Galerkin method; Sine-Gordon equation; Superconvergence; Radau polynomials; A posteriori error estimates; Cartesian grids;
An implicit Lie-group iterative scheme for solving the nonlinear Klein–Gordon and sine-Gordon equations
Keywords: معادله سینو گوردون; Nonlinear Klein–Gordon equation; Sine-Gordon equation; Nonlinear wave problem; Implicit Lie-group iterative scheme; Group preserving scheme (GPS)
Analysis and application of the element-free Galerkin method for nonlinear sine-Gordon and generalized sinh-Gordon equations
Keywords: معادله سینو گوردون; Meshless; Element-free Galerkin (EFG) method; Sine-Gordon equation; Generalized sinh-Gordon equation; Soliton; Error estimate
Symmetry reductions, dynamical behavior and exact explicit solutions to the Gordon types of equations
Keywords: معادله سینو گوردون; 37L20; 34C37; 35C05; 37G10Lie symmetry analysis; Vector field; Dynamical system method; Bifurcation; Traveling wave solution; sine-Gordon equation
Numerical solution of two-dimensional sine-Gordon and MBE models using Fourier spectral and high order explicit time stepping methods
Keywords: معادله سینو گوردون; Molecular beam epitaxy (MBE) model; Sine-Gordon equation; Exponential time differencing; Integrating factor; Fourier spectral;
Efficient determination of the critical parameters and the statistical quantities for Klein–Gordon and sine-Gordon equations with a singular potential using generalized polynomial chaos methods
Keywords: معادله سینو گوردون; Critical phenomenon; Klein–Gordon equation; Sine-Gordon equation; Galerkin methods; Generalized polynomial chaos; Spectral method; Legendre polynomials; Hermite polynomials; Gibbs phenomenon
Numerical solution of Klein–Gordon and sine-Gordon equations by meshless method of lines
Keywords: معادله سینو گوردون; Klein–Gordon equation; sine-Gordon equation; Meshless methods; Method of lines; Radial basis functions; Eigenvalue stability
Differential quadrature solution of nonlinear Klein-Gordon and sine-Gordon equations
Keywords: معادله سینو گوردون; Klein-Gordon equation; Sine-Gordon equation; Differential quadrature method;
Numerical simulation of the N-dimensional sine-Gordon equation via operational matrices
Keywords: معادله سینو گوردون; Sine-Gordon equation; Pseudo-spectral methods; Integrating factor; Conservation of energy; Matrix differential equations;
Numerical research on RF induced zero-crossing steps of stacked Josephson junction in flux-flow state
Keywords: معادله سینو گوردون; Josephson junction; Vortex; Flux-flow; Sine-Gordon equation; Simulation;
Mathematical structure of topological solitons due to the Sine-Gordon Equation
Keywords: معادله سینو گوردون; Topological soliton; Kink soliton; Mathematical induction; Sine-Gordon Equation; Dispersion
On periodic waves for sine- and sinh-Gordon equations
Keywords: معادله سینو گوردون; Periodic waves; Orbital instability; Sine-Gordon equation; Sinh-Gordon equation;
New kink-shaped solutions and periodic wave solutions for the (2+1)-dimensional Sine-Gordon equation
Keywords: معادله سینو گوردون; Sine-Gordon equation; Tanh method; Gâ²G-expansion method; Auxiliary function method; Kink-shaped; bell-shaped; Periodic;
Exact solutions for a nonlinear model
Keywords: معادله سینو گوردون; Sine-Gordon equation; Josephson junctions; Perturbed equation; Nonlinear PDE; Traveling wave solution; Soliton solution
Two finite-difference schemes that preserve the dissipation of energy in a system of modified wave equations
Keywords: معادله سینو گوردون; 45.10.-b; 05.45.-a; 02.30.HqFinite-difference schemes; Sine-Gordon equation; Discrete Josephson-junction arrays; Nonlinear upratransmission; Stability analysis
Comparisons between sine-Gordon and perturbed nonlinear Schrödinger equations for modeling light bullets beyond critical collapse
Keywords: معادله سینو گوردون; Light bullets; Sine-Gordon equation; Perturbed NLS; Efficient numerical methods; Error bounds; Approximation beyond critical collapse
Numerical simulation of two-dimensional sine-Gordon solitons via a local weak meshless technique based on the radial point interpolation method (RPIM)
Keywords: معادله سینو گوردون; Truly meshless method; Meshless weak form; Local radial point interpolation method (LRPIM); Soliton; Sine-Gordon equation; Line and ring solitons; Conservation of energy
A study of the solutions of the combined sine–cosine-Gordon equation
Keywords: معادله سینو گوردون; sine-Gordon equation; Combined sine–cosine-Gordon equation
RF impedance of intrinsic Josephson junction in flux-flow state with a periodic pinning potential and its optimum condition for RF radiation
Keywords: معادله سینو گوردون; 74.25.Nf; 74.25.QtJosephson junction; Vortex; Flux-flow; Sine-Gordon equation; Simulation
Autoresonant excitation of multiphase waves in the sine-Gordon model
Keywords: معادله سینو گوردون; 89.75.Kd; 05.45.Yv; 05.45.XtMultiphase waves; Sine-Gordon equation; Autoresonance; Inverse scattering transform method
Dispersion, group velocity, and multisymplectic discretizations
Keywords: معادله سینو گوردون; Box schemes; Leap-frog method; Dispersion relation; Sine-Gordon equation
Boundary element solution of the two-dimensional sine-Gordon equation using continuous linear elements
Keywords: معادله سینو گوردون; Sine-Gordon equation; Soliton; Boundary element method; Dual reciprocity method; Continuous linear elements
Perturbation of topological solitons due to sine-Gordon equation and its type
Keywords: معادله سینو گوردون; 37K10; 35Q51; 35Q5502.30.Ik; 02.30.Jr; 42.81.Dp; 52.35.SbTopological solitons; Sine-Gordon equation; Kinks; Soliton perturbation theory
New travelling wave solutions to some nonlinear equations via a combined method
Keywords: معادله سینو گوردون; A variable separated ODE method; Modified KdV equation; Sine-Gordon equation; Sinh-Gordon equation; Jacobi elliptic function solutions
On the transmission of binary bits in discrete Josephson-junction arrays
Keywords: معادله سینو گوردون; 02.60.Lj; 63.20.Pw; 74.50.+rDiscrete Josephson-junction arrays; Nonlinear supratransmission and infratransmission; Signal propagation; Sine-Gordon equation; Localized modes
A new approach to studies of non-linear dynamics of kinks activated in inhomogeneous polynucleotide chains
Keywords: معادله سینو گوردون; DNA; Binary sequences; Promoters of bacteriophage T7; Non-linear dynamics; sine-Gordon equation; Kink;
Physical dynamics of quasi-particles in nonlinear wave equations
Keywords: معادله سینو گوردون; 05.45.Yv; 11.10.LmSolitons; Variational approximation; Quasi-particles; Sine-Gordon equation; Nonlinear-wave quantization
Homotopy analysis method for the sine-Gordon equation with initial conditions
Keywords: معادله سینو گوردون; Homotopy analysis method; Sine-Gordon equation; Variational iteration method; Homotopy perturbation method;
Reliable approaches of variational iteration method for nonlinear operators
Keywords: معادله سینو گوردون; Variational iteration method; Lagrange multiplier; Klein–Gordon equation; Sine-Gordon equation
The dual reciprocity boundary element method (DRBEM) for two-dimensional sine-Gordon equation
Keywords: معادله سینو گوردون; Sine-Gordon equation; Soliton; Dissipative term; Dual reciprocity boundary element method