Soliton solutions of a few nonlinear wave equations
Keywords: راه حل های دقیق; Solitons; Exact solutions; Variational iteration method; Tanh method
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New exact solutions for an (N+1)(N+1)-dimensional generalized Boussinesq equation
Keywords: راه حل های دقیق; 35R35; 80A22; 35C05Auxiliary equation method; Exact solutions; Boussinesq equations
Exact solutions for some oscillating motions of a fractional Burgers’ fluid
Keywords: راه حل های دقیق; Oscillating motions; Burgers’ fluid; Fractional model; Exact solutions
Application of simplest equations of Bernoulli and Riccati kind for obtaining exact traveling-wave solutions for a class of PDEs with polynomial nonlinearity
Keywords: راه حل های دقیق; Traveling waves; Exact solutions; Method of simplest equation; Bernoulli equation; Riccati equation
Homogenization of the variable-speed wave equation
Keywords: راه حل های دقیق; Wave equation; Variable media; Exact solutions; Point symmetries
Magnetohydrodynamics flow of a Burgers’ fluid in an orthogonal rheometer
Keywords: راه حل های دقیق; Viscoelastic fluids; Boundary layer; Magnetohydrodynamics flow; Orthogonal rheometer; Exact solutions
Oscillatory flows of second grade fluid in a porous space
Keywords: راه حل های دقیق; Oscillatory flows; Second grade fluid; Porous space; Exact solutions
Mathematical and numerical modeling of convection in a horizontal layer under co-current gas flow
Keywords: راه حل های دقیق; Convection; Co-current gas flow; Free boundary; Exact solutions; Gravity effect
Dynamic responses of functionally graded magneto-electro-elastic shells with closed-circuit surface conditions using the method of multiple scales
Keywords: راه حل های دقیق; Exact solutions; Vibration; Frequency; FG material; Magneto-electro-elastic shells; CST
Rod-structure classification of gravitational instantons with U(1)ÃU(1) isometry
Keywords: راه حل های دقیق; General relativity; Exact solutions; Gravitational instantons;
On the exact solutions for initial value problems of second-order differential equations
Keywords: راه حل های دقیق; Second-order differential equation; Exact solutions; Inverse differential operator
Travelling wave solutions of the Cahn–Allen equation by using first integral method
Keywords: راه حل های دقیق; Exact solutions; Travelling wave solutions; First integral method; Cahn–Allen equation
Symmetry groups and similarity solutions for the system of equations for a viscous compressible fluid
Keywords: راه حل های دقیق; Similarity solutions; Lie group analysis; Viscous compressible fluids; Exact solutions;
Some accelerated flows of generalized Oldroyd-B fluid between two side walls perpendicular to the plate
Keywords: راه حل های دقیق; Exact solutions; Unidirectional flow; Fourier sine transform; Accelerated flows
Analytic study on two nonlinear evolution equations by using the (G′/G)-expansion method
Keywords: راه حل های دقیق; (G′/G)-expansion method; Modified Camassa–Holm equation; Two-dimensional Korteweg–de-Vries–Burgers equation; Exact solutions; Traveling wave solutions
The auxiliary equation method for solving the Zakharov–Kuznetsov (ZK) equation
Keywords: راه حل های دقیق; Auxiliary equation method; Zakharov–Kuznetsov equation; Exact solutions
New Jacobi elliptic functions solutions for the variable-coefficient mKdV equation
Keywords: راه حل های دقیق; New generalized Jacobi elliptic functions expansion method; Jacobi-like elliptic functions solutions; Exact solutions; Variable-coefficient mKdV equation
Exp-function method for a nonlinear ordinary differential equation and new exact solutions of the dispersive long wave equations
Keywords: راه حل های دقیق; Exp-function method; Nonlinear evolution equations; The (2+12+1)-dimensional dispersive long wave equations; Exact solutions; Hyperbolic function solutions
Real spectra for the non-Hermitian Dirac equation in 1+11+1 dimensions with the most general coupling
Keywords: راه حل های دقیق; 03.65.Ge; 03.65.Pm; 03.65.FdDirac equation; Non-Hermitian potentials; PT symmetry; Exact solutions
Analytic solutions of the (2 + 1)-dimensional nonlinear evolution equations using the sine–cosine method
Keywords: راه حل های دقیق; Exact solutions; Solitons; Sine–cosine method; (2 + 1)-Dimensional Boussinesq equation; (2 + 1)-Dimensional breaking soliton equations; (2 + 1)-Dimensional BKP equations
Numerical method for the wave and nonlinear diffusion equations with the homotopy perturbation method
Keywords: راه حل های دقیق; Homotopy perturbation method; He’s polynomials; Wave equation; D’Alembert formula; Nonlinear diffusion equations; Approximate analytical solution; Exact solutions
Flow of a generalized second-grade fluid between two side walls perpendicular to a plate with a fractional derivative model
Keywords: راه حل های دقیق; Exact solutions; Generalized second-grade fluid; Fractional calculus
The Rayleigh–Stokes problem for an edge in a viscoelastic fluid with a fractional derivative model
Keywords: راه حل های دقیق; Rayleigh–Stokes problem; Generalized Oldroyd-B fluid; Exact solutions; Fractional derivative model
A note on decay of potential vortex in an Oldroyd-B fluid through a porous space
Keywords: راه حل های دقیق; Modified Darcy’s law; Exact solutions; Hankel transform; Tangential tension
New exact solutions of the (3+1)-dimensional Burgers system
Keywords: راه حل های دقیق; 05.45.Yv; 02.30.Jr; 02.30.Ik; Exp-function method; Auxiliary equation method; (3+1)-dimensional Burgers system; Exact solutions;
New exact solutions and conservation laws of the (2+1)(2+1)-dimensional dispersive long wave equations
Keywords: راه حل های دقیق; 02.20.-a; 02.20.Sv; 02.30.Jr; 04.20.JbDispersive long wave equations; Lie point symmetry groups; Exact solutions; Conservation laws
Exact bending analysis of fully clamped rectangular thin plates subjected to arbitrary loads by new symplectic approach
Keywords: راه حل های دقیق; Rectangular thin plates with all edges clamped; Arbitrary loads; Exact solutions; Symplectic geometry method
Exact solutions of (2+1)(2+1)-dimensional stochastic Broer–Kaup equation
Keywords: راه حل های دقیق; 05.45.Yv; 02.50.Fz; 02.70.-cExp-function method; Hermit transformation; (2+1)(2+1)-dimensional stochastic Broer–Kaup equation; Exact solutions
Decay of potential vortex for a viscoelastic fluid with fractional Maxwell model
Keywords: راه حل های دقیق; Potential vortex; Fractional Maxwell fluid; Fractional calculus; Exact solutions
Some new static charged spheres
Keywords: راه حل های دقیق; Exact solutions; Einstein–Maxwell equations; Relativistic astrophysics
Symbolic computation of Jacobi elliptic function solutions to nonlinear differential-difference equations
Keywords: راه حل های دقیق; Jacobi elliptic functions; Exact solutions; Differential-difference equations; Symbolic computation
Exact solutions of equations for the Burgers hierarchy
Keywords: راه حل های دقیق; Nonlinear evolution equations; Burgers hierarchy; Cole–Hopf transformation; Exact solutions
Exact solutions of starting flows for a fractional Burgers’ fluid between coaxial cylinders
Keywords: راه حل های دقیق; Exact solutions; Burgers’ fluid; Fractional calculus; Concentric cylinders
Unsteady helical flows of a generalized Oldroyd-B fluid
Keywords: راه حل های دقیق; Fractional calculus; Generalized Oldroyd-B fluid; Exact solutions; Velocity fields
New exact travelling wave solutions of some complex nonlinear equations
Keywords: راه حل های دقیق; 02.30.Jr; 02.70.Wz; 05.45.Yv; 94.05.FgSolitons; Exact solutions; Tanh–coth method; Sine–cosine method; Coupled Higgs equation; Maccari system
A generalized extended rational expansion method and its application to (1Â +Â 1)-dimensional dispersive long wave equation
Keywords: راه حل های دقیق; (1Â +Â 1)-Dimensional dispersive long wave equation; Extended rational expansion method; Exact solutions;
Exact solutions for a viscoelastic fluid with the generalized Oldroyd-B model
Keywords: راه حل های دقیق; Exact solutions; Generalized Oldroyd-B fluid; Fox HH-function; Fractional calculus
On accelerated flows of a viscoelastic fluid with the fractional Burgers’ model
Keywords: راه حل های دقیق; Accelerated flows; Fractional Burgers’ fluid; Exact solutions
Matching stationary spacetimes
Keywords: راه حل های دقیق; 83C15; 83C20; 83C05Spacetime matching; Exact solutions; Gravitomagnetism; Quasi-Maxwell formalism; Stationary spacetimes
On exact solutions for thin film flows of a micropolar fluid
Keywords: راه حل های دقیق; 02.60.Lj; 44.05.+e; 47.50.−dMicropolar fluid; Thin film flow; Exact solutions
Exact solutions for some oscillating flows of a second grade fluid with a fractional derivative model
Keywords: راه حل های دقیق; Oscillating flows; Exact solutions; Second grade fluid; Fractional derivative model
Some accelerated flows for a generalized Oldroyd-B fluid
Keywords: راه حل های دقیق; Exact solutions; Generalized Oldroyd-B fluid; Accelerated flows; Fractional calculus
Exact solutions for the flow of a generalized Oldroyd-B fluid induced by a constantly accelerating plate between two side walls perpendicular to the plate
Keywords: راه حل های دقیق; Generalized Oldroyd-B fluids; Constantly accelerating plate; Side walls; Exact solutions;
Exact travelling wave solutions of the generalized Bretherton equation
Keywords: راه حل های دقیق; Bretherton equation; Exact solutions; Travelling waves; Truncated Painlevé expansion; Algebraic method of solution;
Exact solutions for some nonlinear fractional parabolic partial differential equations
Keywords: راه حل های دقیق; Nonlinear fractional parabolic partial differential equations; Exact solutions; Non-Lie ansätze
Dark energy and dust matter phases from an exact f(R)-cosmology model
Keywords: راه حل های دقیق; 04.50.+h; 95.36.+x; 98.80.-k; Alternative theories of gravity; Cosmology; Exact solutions; Noether symmetries;
A direct method to find solutions of some type of coupled Korteweg-de Vries equations using hyperelliptic functions of genus two
Keywords: راه حل های دقیق; 02.30.Jr; Nonlinear equations; Exact solutions; Hyperelliptic functions;
New exact travelling wave solutions for the Ostrovsky equation
Keywords: راه حل های دقیق; Exact solutions; Auxiliary equation method; Ostrovsky equation
Exact analytical solution of a nonlinear reaction–diffusion model in porous catalysts
Keywords: راه حل های دقیق; Porous catalyst; Diffusion and reaction; nth order reaction; Thiele modulus; Exact solutions; Hypergeometric function
Exact solutions using symmetry methods and conservation laws for the viscous flow through expanding–contracting channels
Keywords: راه حل های دقیق; Exact solutions; Using symmetry methods; Conservation laws; Expanding–contracting channels