Keywords: معادله تکاملی غیرخطی; Khater method; Auxiliary equation; Exact solution; Nonlinear evolution equation;
مقالات ISI معادله تکاملی غیرخطی (ترجمه نشده)
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Keywords: معادله تکاملی غیرخطی; Liquid with gas bubbles; Nonlinear evolution equation; Nonlinear ordinary differential equation; Exact solution; Simplest equation method
Keywords: معادله تکاملی غیرخطی; Multi-soliton solution; Homoclinic test approach; Three-wave method; Nonlinear evolution equation
Keywords: معادله تکاملی غیرخطی; Two-layer fluid; Internal wave; Nonlinear evolution equation; Solitary wave; Stationary multi-soliton;
Keywords: معادله تکاملی غیرخطی; Multiple exp-function method; Nonlinear evolution equation; Multiple wave solutions
Keywords: معادله تکاملی غیرخطی; Exp(–φ(η))-expansion method; Nonlinear evolution equation; Generalized Zakharov–Kuznetsov–Benjamin–Bona–Mahony equation; Simplified Modified form of Camassa–Holm equation; Traveling wave solutions
Abundant general solitary wave solutions to the family of KdV type equations
Keywords: معادله تکاملی غیرخطی; Nonlinear evolution equation; Solitary wave solution; Potential KdV equation; Complex modified KdV equation;
Rational solutions for a (2+1)-dimensional nonlinear model in water waves generated by the Jaulent-Miodek hierarchy
Keywords: معادله تکاملی غیرخطی; Nonlinear water waves; Nonlinear evolution equation; Jaulent-Miodek hierarchy; Rational solutions; Hirota's bilinear method; Pfaffian;
Bäcklund Transformations and Solutions of Some Generalized Nonlinear Evolution Equations
Keywords: معادله تکاملی غیرخطی; nonlinear evolution equation; Bäcklund transformation; separation of variables; coherent structure; Bell polynomial05.45.Yv; 02.30.Jr; 02.30.Ik
Modulation instability of intense laser beam in an electron–positron plasma
Keywords: معادله تکاملی غیرخطی; 52.35.Hr; 94.20.wf; 52.38.−rLaser beam; Modulation instability; Nonlinear dispersion relation; Nonlinear evolution equation; Electron–positron plasma
One method for finding exact solutions of nonlinear differential equations
Keywords: معادله تکاملی غیرخطی; Nonlinear evolution equation; Traveling wave solution; Fisher equation; Nonlinear differential equation of the seven order
The Novikov–Veselov equation and the inverse scattering method, Part I: Analysis
Keywords: معادله تکاملی غیرخطی; Novikov–Veselov equation; KdV equation; Nonlinear evolution equation; DD-bar method; Inverse scattering method; Nonlinear Fourier transform
Modulation instability by intense laser beam in magnetized plasma
Keywords: معادله تکاملی غیرخطی; 52.35.Hr; 94.20.wf; 52.25.Xz; 52.38.−rLaser beam; Modulation instability; Nonlinear dispersion relation; Nonlinear evolution equation; Magnetized plasma
Nonlinear waves in media with fifth order dispersion
Keywords: معادله تکاملی غیرخطی; Viscoelastic tube; Nonlinear evolution equation; Ordinary differential equation; Pseudospectral method; IF4RK; Nonlinear waves
Exact solutions of the generalized K(m, m) equations
Keywords: معادله تکاملی غیرخطی; Nonlinear evolution equation; Generalized K(m,n)K(m,n) equation; Exact solution; Periodic wave solution
Nonlinear evolution equation for describing waves in a viscoelastic tube
Keywords: معادله تکاملی غیرخطی; Viscoelastic tube; Nonlinear evolution equation; Exact solutions; Simplest equation method
An Exp-function method for new NN-soliton solutions with arbitrary functions of a (2+1)(2+1)-dimensional vcBK system
Keywords: معادله تکاملی غیرخطی; Nonlinear evolution equation; Exp-function method; NN-soliton solutions; vcBK system
Quasi-rational function solutions of an elliptic equation and its application to solve some nonlinear evolution equations
Keywords: معادله تکاملی غیرخطی; Nonlinear evolution equation; Auxiliary elliptic equation; Quasi-rational function solutions
A note on the G′/GG′/G-expansion method
Keywords: معادله تکاملی غیرخطی; Nonlinear evolution equation; General solution; Traveling wave; Exact solution; Tanh-method; G′/GG′/G-expansion method
Computing exact solutions to a generalized Lax seventh-order forced KdV equation (KdV7)
Keywords: معادله تکاملی غیرخطی; Cole–Hopf transform; Seventh-order KdV equation (KdV7); Lax KdV equation (Lax KdV7) seventh-order Sawada–Kotera–Ito (Sawada–Kotera–Ito KdV7) equation; Nonlinear ode; Nonlinear PDE; Forcing term; Nonlinear evolution equation
Soliton, rational and special solutions of the Korteweg-de Vries hierarchy
Keywords: معادله تکاملی غیرخطی; Nonlinear evolution equation; Korteweg-de Vries equation; Korteweg-de Vries hierarchy; Soliton; Self-similar solutions; Rational solutions; First Painlevé hierarchy; Second Painlevé hierarchy;
Exact solutions of the Kudryashov–Sinelshchikov equation
Keywords: معادله تکاملی غیرخطی; Nonlinear evolution equation; Kudryashov–Sinelshchikov equation; Ordinary differential equation; Exact solution
Nonlinear evolution equations for describing waves in bubbly liquids with viscosity and heat transfer consideration
Keywords: معادله تکاملی غیرخطی; Liquid with gas bubbles; Nonlinear evolution equation; Nonlinear ordinary differential equation; Exact solution; Simplest equation method
Symbolic computation of solutions for a forced Burgers equation
Keywords: معادله تکاملی غیرخطی; Nonlinear evolution equation; pde; Burgers equation; Reaction-diffusion equation;
Maple packages for computing Hirota’s bilinear equation and multisoliton solutions of nonlinear evolution equations
Keywords: معادله تکاملی غیرخطی; Nonlinear evolution equation; Soliton solution; Hirota bilinear method; Symbolic computation
The Davey–Stewartson equation with sources derived from nonlinear variable separation method
Keywords: معادله تکاملی غیرخطی; Davey–Stewartson equation; Variable separation; Nonlinear evolution equation
New abundant solutions for the Burgers equation
Keywords: معادله تکاملی غیرخطی; Nonlinear evolution equation; PDE; Burgers equation
Traveling wave solutions of the generalized nonlinear evolution equations
Keywords: معادله تکاملی غیرخطی; Nonlinear evolution equation; Traveling wave; Solitary wave solution; Simplest equation;
Asymptotic behavior of a class of nonlinear evolution equations
Keywords: معادله تکاملی غیرخطی; Nonlinear evolution equation; Global attractor; Upper semi-continuity
Convergence and optimal control problems of nonlinear evolution equations governed by time-dependent operator
Keywords: معادله تکاملی غیرخطی; Nonlinear evolution equation; Convergence; Optimal control; Subdifferential; Quasilinear parabolic PDE
Computing exact solutions for some fifth KdV equations with forcing term
Keywords: معادله تکاملی غیرخطی; Extended tanh method; Lax equation; Sawada–Kotera equation; Nonlinear ode; Nonlinear pde; Fifth order KdV; FKdV; Forcing term; Nonlinear evolution equation
A new method for constructing soliton solutions and periodic solutions of nonlinear evolution equations
Keywords: معادله تکاملی غیرخطی; Soliton solutions; Periodic solutions; Nonlinear evolution equation
Compact and noncompact structures for nonlinear fractional evolution equations
Keywords: معادله تکاملی غیرخطی; Compactons; Solitons; Nonlinear evolution equation; Fractional extension; KdV equation; K(n,n)K(n,n) equation; Klein–Gordon equation; Homotopy perturbation method; Fractional derivative
Symbolic computation and a uniform direct ansätze method for constructing travelling wave solutions of nonlinear evolution equations
Keywords: معادله تکاملی غیرخطی; Travelling wave solution; Direct ansätze method; Nonlinear evolution equation
Soliton perturbation theory for the fifth order KdV-type equations with power law nonlinearity
Keywords: معادله تکاملی غیرخطی; Soliton perturbation; Adiabatic parameter dynamics; Integrals of motion; Integrability; Nonlinear evolution equation
On two approaches of finding exact solutions to nonlinear evolution equations
Keywords: معادله تکاملی غیرخطی; secq-tanhqsecq-tanhq method; Generalized projective Riccati equation method; Nonlinear evolution equation; Exact solution; Hirota–Satsuma coupled KdV systems
A note on the auxiliary equation method for solving nonlinear partial differential equations
Keywords: معادله تکاملی غیرخطی; 02.90.+p; 04.30.Nk; Auxiliary equation method; Nonlinear evolution equation; Travelling wave solution;
CONSLAW: A Maple package to construct the conservation laws for nonlinear evolution equations
Keywords: معادله تکاملی غیرخطی; Nonlinear evolution equation; Scaling symmetry; Conservation laws; Symbolic computation
Exact travelling wave solutions of nonlinear evolution equations in (1+1) and (2+1) dimensions
Keywords: معادله تکاملی غیرخطی; Projective Riccati equation method; Symbolic computation; Soliton wave; Nonlinear evolution equation;