Keywords: معادلات تکاملی غیر خطی; Short pulse equation; Integrable systems; Nonlinear evolution equations;
مقالات ISI معادلات تکاملی غیر خطی (ترجمه نشده)
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Keywords: معادلات تکاملی غیر خطی; Modified simple equation method; Extended simplest equation method; Nonlinear evolution equations; Exact solutions; Solitary waves;
Keywords: معادلات تکاملی غیر خطی; Higher order equations; Boundary value problems; Nonlinear evolution equations
Keywords: معادلات تکاملی غیر خطی; Nonlinear evolution equations; bi-Hamiltonian structures; Conservation laws
Keywords: معادلات تکاملی غیر خطی; Modified simple equation method; Nonlinear evolution equations; Exact solutions; Solitary wave solutions
Keywords: معادلات تکاملی غیر خطی; Nonlinear evolution equations; Quenching; Splitting; Elliptical domains; Finite difference;
Keywords: معادلات تکاملی غیر خطی; Artificial boundary conditions; Nonlinear evolution equations; Non-compactly supported initial data
Path-dependent Hamilton-Jacobi equations in infinite dimensions
Keywords: معادلات تکاملی غیر خطی; primary; 35R20; secondary; 47H05; 49L25; 47N10; 91A23; Path-dependent PDEs; Minimax solutions; Nonlinear evolution equations; Optimal control;
Nonlinear evolution equations associated with the Schrödinger spectral problem
Keywords: معادلات تکاملی غیر خطی; Lax pair; Schrödinger equation; Nonlinear evolution equations;
Analytical solutions of the Gerdjikov-Ivanov equation by using exp(âÏ(ξ))-expansion method
Keywords: معادلات تکاملی غیر خطی; Nonlinear optics; The Gerdjikov-Ivanov equation; exp(âÏ(ξ))-expansion method; Travelling waves; Nonlinear evolution equations;
Elementary functions for constructing exact solutions to nonlinear partial differential equations with applications to nonlinear Schrödinger type and MHD equations
Keywords: معادلات تکاملی غیر خطی; Nonlinear Schrödinger equations; Magnetohydrodynamics; Exact solutions; Nonlinear evolution equations; Nonlinear waves;
Soliton solutions to coupled nonlinear evolution equations modelling a third harmonic resonance in the theory of capillary-gravity waves
Keywords: معادلات تکاملی غیر خطی; Nonlinear evolution equations; Solitary waves; Third harmonic resonance;
Exact solutions to the Benney–Luke equation and the Phi-4 equations by using modified simple equation method
Keywords: معادلات تکاملی غیر خطی; Modified simple equation method; Nonlinear evolution equations; Solitary wave solutions; Benney–Luke equation; Phi-4 equation
Periodic boundary value problems for nonlinear impulsive evolution equations on Banach spaces
Keywords: معادلات تکاملی غیر خطی; Nonlinear evolution equations; Periodic boundary value problems; Mild solutions; Existence;
The exp(−Φ(η))-expansion method with application in the (1+1)-dimensional classical Boussinesq equations
Keywords: معادلات تکاملی غیر خطی; The exp(−Φ(η))-expansion method; Traveling wave solutions; The (1+1)-dimensional classical Boussinesq equations; Nonlinear evolution equations
Exact solutions of the (2+1)-dimensional cubic Klein–Gordon equation and the (3+1)-dimensional Zakharov–Kuznetsov equation using the modified simple equation method
Keywords: معادلات تکاملی غیر خطی; Modified simple equation method; Nonlinear evolution equations; Solitary wave solutions; (2+1)-Dimensional cubic Klein–Gordon equation; (3+1)-Dimensional Zakharov–Kuznetsov equation
Exact traveling wave solutions to the Klein–Gordon equation using the novel (G′/G)-expansion method
Keywords: معادلات تکاملی غیر خطی; Novel (G′/G)-expansion method; Klein–Gordon equations; Nonlinear evolution equations; Traveling wave solutions; Solitary wave solutions
The new approach of the generalized (G′/G)-expansion method for nonlinear evolution equations
Keywords: معادلات تکاملی غیر خطی; New generalized (G′/G)-expansion method; (3+1)-Dimensional potential-YTSF equation; (2+1)-Dimensional modified Zakharov–Kuznetsov equations; Nonlinear evolution equations; Traveling wave solutions; Solitary wave solutions
Removing trailing tails and delays induced by artificial dissipation in Padé numerical schemes for stable compacton collisions
Keywords: معادلات تکاملی غیر خطی; Solitary waves; Compactons; Adiabatic perturbations; Artificial viscosity; Numerical methods; Padé approximants; Nonlinear evolution equations;
The G′/G-expansion method for solutions of evolution equations from isothermal magnetostatic atmospheres
Keywords: معادلات تکاملی غیر خطی; G′G-Expansion method; Magnetostatic equilibria; Nonlinear evolution equations; Travelling waves
Exact and solitary wave solutions for the Tzitzeica-Dodd-Bullough and the modified KdV-Zakharov-Kuznetsov equations using the modified simple equation method
Keywords: معادلات تکاملی غیر خطی; Modified simple equation method; Nonlinear evolution equations; Solitary wave solutions; Exact solutions; Tzitzeica-Dodd-Bullough equation; Modified KdV-Zakharov-Kuznetsov equation;
Hamiltonian structures for the Ostrovsky–Vakhnenko equation
Keywords: معادلات تکاملی غیر خطی; Integrable models; Nonlinear evolution equations; Miura-type transformations; Bi-Hamiltonian systems
Systematic construction of infinitely many conservation laws for certain nonlinear evolution equations in mathematical physics
Keywords: معادلات تکاملی غیر خطی; Symbolic computation; Infinitely many conservation laws; Lax pair; Nonlinear evolution equations; Integrability
Straightening out of the flows for the Hu hierarchy and its algebro-geometric solutions
Keywords: معادلات تکاملی غیر خطی; Spectral problem; Nonlinear evolution equations; Algebro-geometric solution
N-soliton solutions of the KP equation by Exp-function method
Keywords: معادلات تکاملی غیر خطی; Exp-function method; KP equation; N-soliton solutions; Nonlinear evolution equations;
Periodic wave solutions of coupled integrable dispersionless equations by residue harmonic balance
Keywords: معادلات تکاملی غیر خطی; Dispersionless; Residue harmonic balance; Nonlinear evolution equations; Analytical approximation; Periodic solution
Extended Gram-type determinant, wave and rational solutions to two (3+1)-dimensional nonlinear evolution equations
Keywords: معادلات تکاملی غیر خطی; Nonlinear evolution equations; Jimbo-Miwa equation; Pfaffian; Grammian determinant; Bilinear Bäcklund transformation;
Some new solitonary solutions of the modified Benjamin–Bona–Mahony equation
Keywords: معادلات تکاملی غیر خطی; Exp-function method; Soliton solutions; Nonlinear evolution equations
Redundant exact solutions of nonlinear differential equations
Keywords: معادلات تکاملی غیر خطی; Nonlinear evolution equations; Nonlinear ordinary differential equation; Exact solutions, Redundant exact solution
Symmetry analysis of a model of stochastic volatility with time-dependent parameters
Keywords: معادلات تکاملی غیر خطی; 35C06; 35K15; 60G44; 91G80Symmetries; Stochastic processes; Nonlinear evolution equations
On complete integrability for systems of differential equations
Keywords: معادلات تکاملی غیر خطی; Nonlinear evolution equations; Hirota method; Soliton solutions; Coupled KdV systems
Algebraic solution of the Stein–Stein model for stochastic volatility
Keywords: معادلات تکاملی غیر خطی; Symmetry analysis; Similarity solutions; Stochastic processes; Nonlinear evolution equations
Application of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations
Keywords: معادلات تکاملی غیر خطی; Kudryashov method; Nonlinear evolution equations; Nonlinear differential equations; Ordinary differential equations; Exact solutions
The extended Riccati equation mapping method for variable-coefficient diffusion-reaction and mKdV equations
Keywords: معادلات تکاملی غیر خطی; Extended Riccati equation mapping method; Nonlinear evolution equations; Variable-coefficient diffusion-reaction equation; Variable-coefficient mKdV equation;
Evolving states in nonlocal type dynamics of composite systems
Keywords: معادلات تکاملی غیر خطی; Nonlocal quantum dynamics; Nonlinear evolution equations; Operator equations; Composite quantum systems; Nondissipative interaction
Artificial boundary conditions for certain evolution PDEs with cubic nonlinearity for non-compactly supported initial data
Keywords: معادلات تکاملی غیر خطی; Artificial boundary conditions; Nonlinear evolution equations; Non-compactly supported initial data
Explicit traveling wave solutions of five kinds of nonlinear evolution equations
Keywords: معادلات تکاملی غیر خطی; Explicit traveling wave solutions; Nonlinear evolution equations; Reduction of order; General Bernoulli equations;
Exp-function method for traveling wave solutions of modified Zakharov–Kuznetsov equation
Keywords: معادلات تکاملی غیر خطی; Exp-function method; Zakharov–Kuznetsov equation; Nonlinear evolution equations
Observations on the basic (G′/G)(G′/G)-expansion method for finding solutions to nonlinear evolution equations
Keywords: معادلات تکاملی غیر خطی; Nonlinear evolution equations; The tanh-function expansion method; The (G′/G)(G′/G)-expansion method; Solitary travelling-waves
The EHTA for nonlinear evolution equations
Keywords: معادلات تکاملی غیر خطی; Nonlinear evolution equations; Extended homoclinic test approach; Hirota bilinear form; Breather type of soliton; Periodic type of soliton
Observations on the tanh–coth expansion method for finding solutions to nonlinear evolution equations
Keywords: معادلات تکاملی غیر خطی; Nonlinear evolution equations; The tanh-function expansion method; The tanh–coth-function expansion method; Solitary travelling-waves
Exp-function method for Riccati equation and new exact solutions with two arbitrary functions of (2 + 1)-dimensional Konopelchenko–Dubrovsky equations
Keywords: معادلات تکاملی غیر خطی; Exp-function method; Riccati equation; Generalized solitary wave solutions; Nonlinear evolution equations
New explicit traveling wave solutions for three nonlinear evolution equations
Keywords: معادلات تکاملی غیر خطی; Nonlinear evolution equations; Coupled KdV equation; Extended tanh-function method; Traveling wave solution
Exp-function method for traveling wave solutions of nonlinear evolution equations
Keywords: معادلات تکاملی غیر خطی; Exp-function method; Zakharov–Kuznetsov equation; ZK-MEW equation; Nonlinear evolution equations
Auxiliary equation method for the mKdV equation with variable coefficients
Keywords: معادلات تکاملی غیر خطی; Nonlinear evolution equations; Auxiliary equation method; mKdV equation with variable coefficients; Solitary wave solution;
The extended G′G-expansion method and its applications to the Whitham–Broer–Kaup–Like equations and coupled Hirota–Satsuma KdV equations
Keywords: معادلات تکاملی غیر خطی; Extended G′G-expansion method; Solitary wave solution; Nonlinear evolution equations; Whitham–Broer–Kaup–Like equations; Coupled Hirota–Satsuma KdV equations
A generalized sub-equations rational expansion method for nonlinear evolution equations
Keywords: معادلات تکاملی غیر خطی; 02.30.Jr; 05.45.Yv; Nonlinear evolution equations; Generalized sub-equations rational expansion method; (2Â +Â 1)-Dimensional Burgers equations; Complexiton solutions;
Inverse nonstationary scattering for the linear system of the 3-wave interaction problem in the case of two incident waves with the same velocity
Keywords: معادلات تکاملی غیر خطی; Hyperbolic system; Inverse nonstationary scattering problem; Nonlinear evolution equations;
Exact travelling wave solutions of some nonlinear equations by G′G-expansion method
Keywords: معادلات تکاملی غیر خطی; Nonlinear evolution equations; Solitons; Travelling wave solutions
A novel traveling wave solution for Ostrovsky equation using Exp-function method
Keywords: معادلات تکاملی غیر خطی; Exp-function method; Ostrovsky equation; Nonlinear evolution equations