Keywords: راه حل Soliton; Fractional differential equation; Operator calculus; Analytical solution; Closed-form solution; Soliton solution; 34A08; 34A25; 26A33; 35C05;
مقالات ISI راه حل Soliton (ترجمه نشده)
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Keywords: راه حل Soliton; Soliton solution; Rogue wave solution; Darboux transformation; Complex short pulse equation;
Keywords: راه حل Soliton; Modified Camassa–Holm equation; Bilinear equation; Soliton solution
Keywords: راه حل Soliton; Coupled nonlinear Schrödinger type equation; He's semi-inverse variational principle; Soliton solution;
Keywords: راه حل Soliton; Soliton solution; Kink and anti-kink solution; Periodic solution; Theory of bifurcation; Helmholtz-Duffing oscillator;
A study of lump-type and interaction solutions to a (3+1)-dimensional Jimbo-Miwa-like equation
Keywords: راه حل Soliton; Lump-type solution; Kink solution; Soliton solution; Generalized bilinear form; Generalized (3+1)-dimensional Jimbo-Miwa equation;
Localized analytical solutions and numerically stabilities of generalized Gross-Pitaevskii (GP(p,q)) equation with specific external potentials
Keywords: راه حل Soliton; Soliton solution; Generalized Gross-Pitaevskii equation; Soliton stability;
Discrete modified Boussinesq equation and Darboux transformation
Keywords: راه حل Soliton; Discrete modified Boussinesq; Hirota-Miwa equation; Darboux transformation; Casoratian determinant; Soliton solution;
Dark and kink soliton solutions of the generalized ZK-BBM equation by iterative scheme
Keywords: راه حل Soliton; Generalized Zakharov-Kuznetsov-Benjamin-Bona-Mahony equation; Soliton solution; Adomian's decomposition method (ADM); Variational iteration method (VIM); Convergence analysis;
Mixed lump-kink solutions to the KP equation
Keywords: راه حل Soliton; Bilinear form; Lump solution; Soliton solution;
New analytic solutions of two-dimensional nonlocal nonlinear media
Keywords: راه حل Soliton; Nonlocal nonlinear optical media; Exact analytical solutions; Similarity reduction; Soliton solution; 05.45.Yv; 02.20.Sv; 42.65.Tg;
Periodic solutions and solitons to two complex short pulse (CSP) equations in optical fiber
Keywords: راه حل Soliton; Optical fiber; Focusing complex short pulse (FCSP) equation; Defocusing complex short pulse (DFCSP) equation; F-expansion method; Jacobian elliptic function; Periodic traveling wave; Soliton solution;
Soliton solutions of an integrable nonlocal modified Korteweg-de Vries equation through inverse scattering transform
Keywords: راه حل Soliton; Nonlocal modified KdV equation; Inverse scattering transform; Soliton solution;
Soliton solutions for Boussinesq-like equations with spatio-temporal dispersion
Keywords: راه حل Soliton; Boussinesq-like equations; Semi-inverse variational principle; Soliton solution;
KdV hierarchy with time-dependent coefficients: Lax integrability, bilinear Bäcklund transformation and soliton solutions
Keywords: راه حل Soliton; KdV hierarchy with time-dependent coefficients; Lax integrability; Bilinear BT; Soliton solution;
Soliton solutions and dynamical evolutions of a generalized AKNS system in the framework of inverse scattering transform
Keywords: راه حل Soliton; Soliton solution; Dynamical evolution; Generalized AKNS system; IST;
Traveling wave solutions for time-fractional K(m, n) equation
Keywords: راه حل Soliton; Fractional K(m, N) equation; Homotopy perturbation method; Semi-analytical solution; Traveling wave solution; Soliton solution; Compacton;
Integrability, invariant and soliton solutions of generalized Kadomtsev-Petviashvili-modified equal width equation
Keywords: راه حل Soliton; Painlevè test; Generalized KP-MEW equation; Variable coefficient; Soliton solution; Lie symmetry analysis;
Solitons and dynamics for a general integrable nonlocal coupled nonlinear Schrödinger equation
Keywords: راه حل Soliton; Nonlocal coupled nonlinear Schrödinger equation; Darboux transformation; Soliton solution; Dynamics and interaction of soliton;
Soliton solutions for fractional Schrödinger equations
Keywords: راه حل Soliton; Fractional Schrödinger equation; Soliton solution; Minimization argument
Chirped femtosecond pulses in the higher-order nonlinear Schrödinger equation with non-Kerr nonlinear terms and cubic–quintic–septic nonlinearities
Keywords: راه حل Soliton; High-order nonlinear Schrödinger equation; Nonlinear chirp; Soliton solution; Septic nonlinearity
A lattice Boltzmann model for the generalized Boussinesq equation
Keywords: راه حل Soliton; Lattice Boltzmann method; The generalized Boussinesq equation; Lattice Bhatnagar-Gross-Krook model; Numerical simulation; Soliton solution;
On integrability and quasi-periodic wave solutions to a (3+1)-dimensional generalized KdV-like model equation
Keywords: راه حل Soliton; A (3+1)-dimensional generalized KdV-like model equation; Bell polynomial; Bäcklund transformation; Lax pairs; Soliton solution; Periodic wave solution; 35Q51; 35Q53; 35C99; 68W30; 74J35;
Infinitely many solutions for quasilinear elliptic equations involving (p,q)(p,q)-Laplacian in RR
Keywords: راه حل Soliton; Quasilinear Schrödinger equation; Soliton solution; Infinitely many solutions; (p,qp,q)-Laplacian
On periodic wave solutions with asymptotic behaviors to a (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation in fluid dynamics
Keywords: راه حل Soliton; A (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation; Bell polynomials; Riemann theta function; Soliton solution; Periodic solution;
Bäcklund transformation, infinite conservation laws and periodic wave solutions to a generalized (2+1)-dimensional Boussinesq equation
Keywords: راه حل Soliton; The (2+1)-dimensional Boussinesq equation; Bell's polynomials; Bäcklund transformation; Infinite conservation laws; Periodic wave solution; Soliton solution;
A three-wave interaction model with self-consistent sources: The ∂¯-dressing method and solutions
Keywords: راه حل Soliton; ∂¯-Dressing method; Three-wave interaction model; Self-consistent sources; Soliton solution
Conservation laws, bilinear forms and solitons for a fifth-order nonlinear Schrödinger equation for the attosecond pulses in an optical fiber
Keywords: راه حل Soliton; Fifth-order nonlinear Schrödinger equation; Attosecond pulses; Optical fiber; Conservation laws; Soliton solution; Soliton interaction;
Single soliton solutions of the coupled nonlinear Klein–Gordon equations with power law nonlinearity
Keywords: راه حل Soliton; Coupled nonlinear Klein–Gordon equation; Power law nonlinearity; Soliton solution
Pfaffian representation of solutions to a coupled (2 + 1)-dimensional system
Keywords: راه حل Soliton; Soliton solution; Resonant interaction; Pfaffian
Characterization of soliton solutions in 2D nonlinear Schrödinger lattices by using the spatial disorder
Keywords: راه حل Soliton; Discrete nonlinear Schrödinger equation; Horseshoe; Soliton solution; Bright solitons; Spatial disorder;
N-fold Darboux transformation and multi-soliton solutions for the classical Boussinesq–Burgers system
Keywords: راه حل Soliton; Darboux transformation; Classical Boussinesq–Burgers system; Soliton solution; Vandermonde-like determinant
Double sub-equation method for complexiton solutions of nonlinear partial differential equations
Keywords: راه حل Soliton; Complexiton solution; Jacobi elliptic function solution; Periodic solution; Soliton solution;
Extended trial equation method to generalized nonlinear partial differential equations
Keywords: راه حل Soliton; Extended trial equation method; GIKdV equation; R(m,n)R(m,n) equation; Soliton solution; Elliptic solutions
Breathers and multi-soliton solutions for the higher-order generalized nonlinear Schrödinger equation
Keywords: راه حل Soliton; The higher-order generalized nonlinear Schrödinger equation; Darboux transformation; Breather; Soliton solution; Bound soliton
New exact solitary wave solutions of the Zakharov–Kuznetsov equation in the electron–positron–ion plasmas
Keywords: راه حل Soliton; Soliton solution; (e–p–i) Plasmas; Zakharov–Kuznetsov equation
Soliton solutions and Bäcklund transformation for the normalized linearly coupled nonlinear wave equations with symbolic computation
Keywords: راه حل Soliton; Normalized linearly coupled nonlinear wave equations; Hirota's method; Soliton solution; Bäcklund transformation; Lax pair; Symbolic computation;
Quasi-periodic wave solution and asymptotic behavior for the (2Â +Â 1)-dimensional Toda lattice equation
Keywords: راه حل Soliton; (2Â +Â 1)-Dimensional Toda lattice equation; Hirota bilinear method; Periodic wave solution; Soliton solution;
F-expansion method and its application for finding new exact solutions to the sine-Gordon and sinh-Gordon equations
Keywords: راه حل Soliton; Sine-Gordon equation; sinh-Gordon equation; F-expansion method; Jacobian elliptic function; Soliton solution;
Bifurcation diagrams of coupled Schrödinger equations
Keywords: راه حل Soliton; Coupled Schrödinger equations; Soliton solution; Ground state; Uniqueness
A generalized AKNS hierarchy, bi-Hamiltonian structure, and Darboux transformation
Keywords: راه حل Soliton; Darboux transformation; Soliton solution; Generalized AKNS hierarchy; Bi-Hamiltonian structure
A one-soliton solution of the ZK(m,n,k)ZK(m,n,k) equation with generalized evolution and time-dependent coefficients
Keywords: راه حل Soliton; Soliton solution; Variable-coefficient ZK(m,n,k)ZK(m,n,k) equation; Solitary wave ansatz method
New types of exact solutions for the fourth-order dispersive cubic-quintic nonlinear Schrödinger equation
Keywords: راه حل Soliton; The nonlinear Schrödinger equation; Soliton solution; Periodic wave solution;
Darboux transformation and N-soliton solutions for a more general set of coupled integrable dispersionless system
Keywords: راه حل Soliton; Darboux transformation; Soliton solution; Coupled integrable dispersionless system
Soliton solutions and Bäcklund transformation for the complex Ginzburg-Landau equation
Keywords: راه حل Soliton; Complex Ginzburg-Landau equation; Hirota method; Soliton solution; Bäcklund transformation; Symbolic computation;
Painlevé property, auto-Bäcklund transformation and analytic solutions of a variable-coefficient modified Korteweg–de Vries model in a hot magnetized dusty plasma with charge fluctuations
Keywords: راه حل Soliton; Variable-coefficient modified Korteweg-de Vries model; Painlevé property; Auto-Bäcklund transformation; Periodic solution; Soliton solution; Hot magnetized dusty plasma; DIA solitary wave; Symbolic computation
1-Soliton solution and conservation laws for the Jaulent–Miodekequation with power law nonlinearity
Keywords: راه حل Soliton; Soliton solution; Conservation law
Exact solutions for a nonlinear model
Keywords: راه حل Soliton; Sine-Gordon equation; Josephson junctions; Perturbed equation; Nonlinear PDE; Traveling wave solution; Soliton solution
On the periodic solutions for both nonlinear differential and difference equations: A unified approach
Keywords: راه حل Soliton; Differential and difference equation; Hirota's bilinear method; Riemann theta function; Periodic wave solution; Soliton solution
Exact solutions of coupled sine–Gordon equations
Keywords: راه حل Soliton; Sine–Gordon equation; Coupled sine–Gordon equation; Exp-function method; Traveling wave solution; Soliton solution; Frenkel–Kontorova dislocation model; DNA