Hall effect on the pipe flow of a Burgers’ fluid: An exact solution
Keywords: راه حل دقیق; Imposed pressure gradient; Burgers’ fluid; Exact solution
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Exact solutions for the incompressible viscous fluid of a porous rotating disk flow
Keywords: راه حل دقیق; Exact solution; Rotating disk flow; Suction/blowing; Shear stresses; Heat transfer
Application of variational iteration method and homotopy perturbation method to the modified Kawahara equation
Keywords: راه حل دقیق; Variational iteration method; Homotopy perturbation method; Modified Kawahara equation; Approximate solution; Exact solution
Nonlinear variable separation solutions of some mKdV-type equations and the unified construction method
Keywords: راه حل دقیق; mKdV-type equation; Variable separation; Exact solution; Hirota’s bilinear method
n-dimensional plane symmetric solution with perfect fluid source
Keywords: راه حل دقیق; 04.20.Jb; 04.20.Cv; 04.20.-q; Exact solution; Energy condition; Higher dimensional theory;
Postbuckling and free vibrations of composite beams
Keywords: راه حل دقیق; Postbuckling; Exact solution; Vibration; Composite beams
Slip MHD viscous flow over a stretching sheet – An exact solution
Keywords: راه حل دقیق; Similarity solution; Stretching surface; Navier–Stokes equations; Analytical solution; Exact solution; Magnetohydrodynamics; Slip flow47.10.ad; 47.15.Cb; 52.30.Cv
On the finite integral transform method for exact bending solutions of fully clamped orthotropic rectangular thin plates
Keywords: راه حل دقیق; Orthotropic rectangular thin plate; Exact solution; Finite integral transform
Viscoelastic stresses in the stagnation flow of a dilute polymer solution
Keywords: راه حل دقیق; Stress singularities; Stagnation flow; Upper convected Maxwell fluid; Exact solution; Partial differential equations
Application of Exp-function method for 2D cubic–quintic Ginzburg–Landau equation
Keywords: راه حل دقیق; Ginzburg–Landau; Exact solution; Reform of identical-solving; Exp-function method
Generalized solitary wave solutions for the Klein–Gordon–Schrödinger equations
Keywords: راه حل دقیق; Exp-function method; Klein–Gordon–Schrödinger equations; Exact solution; Solitary wave solution
Solving integro-differential equations with Cauchy kernel
Keywords: راه حل دقیق; Singular integro-differential equations; Cauchy kernel; Reproducing kernel space; Numerical solution; Exact solution;
Explicit exact solutions for the generalized Zakharov equations with nonlinear terms of any order
Keywords: راه حل دقیق; Auxiliary ordinary differential equation; Generalized Zakharov equations; Exact solution
Some exact solutions to multidimensional Landau–Lifshitz equation with uprush external field and anisotropy field
Keywords: راه حل دقیق; Multidimensional Landau–Lifshitz equation; Uprush external field; Anisotropy field; Exact transform; Exact solution
New peakon, solitary wave and periodic wave solutions for the modified Camassa–Holm equation
Keywords: راه حل دقیق; 34C37; 34G20; 34K18; 74J3002.30.Ik; 02.30.Jr; 05.10.-a; 05.45.YvModified Camassa–Holm equation; Peakon; Solitary wave; Periodic wave; Exact solution
On new symplectic approach for exact bending solutions of moderately thick rectangular plates with two opposite edges simply supported
Keywords: راه حل دقیق; Moderately thick plate; Exact solution; Hamilton canonical equations; Symplectic geometry method
Third-order partial differential equations arising in the impulsive motion of a flat plate
Keywords: راه حل دقیق; 47.50; 47.50.cd; 47.11.jSecond-order fluid; Third-order partial differential equation; Exact solution; Numerical solution
Exact solution of two phase stratified flow through the pipes for non-Newtonian Herschel-Bulkley fluids
Keywords: راه حل دقیق; Two phase flow; Stratified; Non-Newtonian; Bipolar coordinate; Herschel-Bulkley; Exact solution;
Solution of the Duffing equation involving both integral and non-integral forcing terms
Keywords: راه حل دقیق; 47B32; 34K28Duffing equation; Reproducing kernel space; Iterative sequence; Exact solution
An efficient algorithm for solving Hilbert type singular integral equations of the second kind
Keywords: راه حل دقیق; Hilbert type singular integral equations; Reproducing kernel space; Exact solution
Lie group classifications and exact solutions for two variable-coefficient equations
Keywords: راه حل دقیق; Variable-coefficient equation; Hanging chain equation; Bond pricing equation; Lie symmetry analysis; Power series method; Exact solution
Lie symmetry analysis and exact explicit solutions for general Burgers’ equation
Keywords: راه حل دقیق; 22E70; 35Q53General Burgers’ equation; Lie symmetry analysis; Similarity reduction; Exact solution
Exact solutions of systems describing interacting populations with low critical densities
Keywords: راه حل دقیق; Exact solution; Simplest equation method; Interacting populations; Low critical density
Be careful with the Exp-function method
Keywords: راه حل دقیق; 02.30.HqNonlinear evolution equation; Exact solution; Exp-function method; Simplest equation method
On “new travelling wave solutions” of the KdV and the KdV–Burgers equations
Keywords: راه حل دقیق; 02.30.HqNonlinear evolution equation; Korteweg-de Vries equation; Korteweg-de Vries–Burgers equation; General solution; Travelling wave; Exact solution
Exact solutions for the free in-plane vibrations of rectangular plates
Keywords: راه حل دقیق; Rectangular plate; In-pane free vibration; Frequency; Mode shape; Exact solution
The transient thermo-electro-elastic fields in a piezoelectric plate with a crack
Keywords: راه حل دقیق; Thermopiezoelectricity; Limited permeable crack; Stress and electric intensity factors; Transient problem; Exact solution;
Exact solutions of a class of second-order nonlocal boundary value problems and applications
Keywords: راه حل دقیق; Second-order differential equation; Nonlocal boundary; Value problem; Exact solution; Iterative solution;
Solving singular boundary-value problems of higher even-order
Keywords: راه حل دقیق; Singular boundary-value problem of higher even-order; Reproducing kernel space; Exact solution
Electroelastic gap waves between dissimilar piezoelectric materials in different classes of symmetry
Keywords: راه حل دقیق; Piezoelectric material; Surface wave; Dispersion; Existence condition; Exact solution
Exact solutions for anti-plane problem of two asymmetrical edge cracks emanating from an elliptical hole in a piezoelectric material
Keywords: راه حل دقیق; Piezoelectric materials; Elliptical hole; Edge cracks; Field intensity factors; Exact solution
Particle and bubble dynamics in a creeping flow
Keywords: راه حل دقیق; Creeping flow; Solid particle; Bubble; Viscous fluid; Small Reynolds number; Exact solution; Stokes drag; Memory-integral drag
On the generation of exact solutions for evaluating numerical schemes and estimating discretization error
Keywords: راه حل دقیق; Exact solution; Discretization error; Spline fit; Defect correction; Computational fluid dynamics
Modelling of finite piezoelectric patches: Comparing an approximate power series expansion theory with exact theory
Keywords: راه حل دقیق; Plate equations; Elastic waves; Piezoelectricity; Actuator; Power series expansions; Equivalent boundary condition; Exact solution
Nonlinearity as a sensitive informative marker in the ENSO model
Keywords: راه حل دقیق; Exact solution; Exp-function method; ENSO model
On the implementation of Prabhu’s exact solution of the stochastic reservoir equation
Keywords: راه حل دقیق; Stochastic reservoir; Prabhu; Equilibrium storage; Exact solution; Gamma inflow; Reservoir storage
New exact bounded travelling wave solutions for the Zhiber–Shabat equation
Keywords: راه حل دقیق; 34C25-28; 58F05; 58F14; 58F3002.30.Ik; 02.30.Jr; 05.45.YvZhiber–Shabat equation; Smooth solitary wave; Compacton; Smooth periodic wave; Exact solution
Seven common errors in finding exact solutions of nonlinear differential equations
Keywords: راه حل دقیق; 02.30.HqNonlinear evolution equation; Exact solution; Common error; Truncated expansion method; Tanh-function method; Exp-function method
Thin film flow of an Oldroyd 8-constant fluid: An exact solution
Keywords: راه حل دقیق; Oldroyd 8-constant fluid; Exact solution; Nonlinear problem; Numerical integration
Flow between two stretchable disks—An exact solution of the Navier–Stokes equations
Keywords: راه حل دقیق; Navier–Stokes equation; Exact solution; Stretchable disk; Similarity solution
Transition of unsteady flows of evaporation to steady state
Keywords: راه حل دقیق; Fluid mechanics; Exact solution; Half-space; Evaporation; Condensation; Mécanique des fluides; Solutions exactes; Demi-espace; Evaporation; Condensation;
The exact solution of system of linear operator equations in reproducing kernel spaces
Keywords: راه حل دقیق; Separable Hilbert space; Formal solution; System of equations; Reproducing kernel; Exact solution;
A numerical method for some nonlinear differential equation models in biology
Keywords: راه حل دقیق; Full discretization; Exact solution; Reaction–convection–diffusion equation; Nonlinear problems with zero flux; Numerical simulation
Bäcklund transformation, nonlinear superposition formula and solutions of the Calogero equation
Keywords: راه حل دقیق; 05.45.Yv; 02.30.Ik; 02.30.JrCalogero equation; Bäcklund transformation; Nonlinear superposition formula; Exact solution; Wronskian determinant solution
A new method for solving a class of singular two-point boundary value problems
Keywords: راه حل دقیق; Exact solution; Singular two-point boundary value problem; Reproducing kernel
Theoretic study of dust acoustic waves in a dusty plasma with dust charge variation
Keywords: راه حل دقیق; 03.40.Kf; 52.35.Sb; 47.35.+i; Nonlinear dust acoustic waves; Exact solution; Formally variable separation approach; Plasma;
Flow of a Maxwell fluid between two side walls due to a suddenly moved plate
Keywords: راه حل دقیق; Unsteady flow; Maxwell fluid; Exact solution; Moved wall; Side walls
The influence of slip condition on thin film flow of a fourth grade fluid by the homotopy analysis method
Keywords: راه حل دقیق; Slip effects; Fourth grade fluid; Exact solution; HAM solution; Nonlinear problem
Exact free vibration analysis of axially moving viscoelastic plates
Keywords: راه حل دقیق; Axially moving; Viscoelastic; Plate; Free vibration; Exact solution; Finite strip method (FSM)
The exact solution and stability analysis for integral equation of third or first kind with singular kernel
Keywords: راه حل دقیق; Exact solution; Integral equations of third or first kind; Singular kernel; Reproducing kernel space; Stable;