Keywords: Stefan problem; Fractional diffusion equation; Riemann-Liouville derivative; Caputo derivative; Memory flux; Equivalent integral relation; Primary; 35R35; 26A33; 35C05; Secondary; 33E20; 80A22;
مقالات ISI (ترجمه نشده)
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Keywords: Time- and space-fractional multidimensional diffusion-wave equation; Fundamental solution; Mellin integral transform; Mellin-Barnes integral representation; Probability density function; 26A33; 35C05; 35E05; 35L05; 45K05; 60E99;
Keywords: Fractional differential equation; Operator calculus; Analytical solution; Closed-form solution; Soliton solution; 34A08; 34A25; 26A33; 35C05;
Keywords: 65N06; 65C20; 35C05; 35K20; Stochastic differential equations; Nonlinear partial differential equations; Paris' equation; Probability distribution of hitting time; Probability-based numerical method; Generalized exponential technique;
Keywords: Complex integrable dispersionless equation; Hirota method; Pfaffian; Soliton interation35Q53; 37K10; 35C05; 37K40
Keywords: Integrable; Curvature; Surface; Differential forms; 35A30; 32A25; 35C05;
CK transformations, symmetries, exact solutions and conservation laws of the generalized variable-coefficient KdV types of equations
Keywords: 37K10; 35C05; CK transformation; Lie group classification; Exact solution; Conservation law; Variable-coefficient equation;
New solutions of fractional Drinfeld-Sokolov-Wilson system in shallow water waves
Keywords: Fractional Drinfeld-Sokolov-Wilson system; Shallow water waves; Conformable fractional derivative; Perturbation iteration algorithm; Sine-Gordon expansion method; 35R11; 35A20; 35C05;
Determinants of the Laplacians on complex projective spaces Pn(C) (nâ¯â¥â¯1)
Keywords: 33C45; 35A08; 35C05; 58J35; 58J50; Complex projective space; Determinant of Laplacian; Minakshisundaram-Pleijel coefficients; Spectral zeta function;
Symmetries, travelling-wave and self-similar solutions of the Burgers hierarchy
Keywords: Burgers equation; Symmetries; Integrability; 35A09; 35A24; 35B06; 35C05; 22E60;
On the analytical solutions of the system of conformable time-fractional Robertson equations with 1-D diffusion
Keywords: Diffusion; System of Robertson equations; Q-homotopy analysis method; Conformable fractional derivative; 35R11; 35A20; 35C05;
Global diffeomorphism of the Lagrangian flow-map for Equatorially-trapped internal water waves
Keywords: 35Q86; 35A16; 35C05; 35Q35; Global diffeomorphism; Internal waves; Geophysical water waves; Exact and explicit solution;
Solitons and other solutions to a new coupled nonlinear Schrodinger type equation
Keywords: Solitons; Travelling wave; First integral method; Semi-inverse variational method; Liu's theorem; A new coupled nonlinear Schrodinger type equation; 35A24; 35C05; 35C07; 35C08; 35C09; 35Q92; 35B06;
Comments on “Soliton solutions to fractional-order nonlinear differential equations based on the exp-function method”
Keywords: 35G20; 35C07; 35C05; Solitary solutions; Fractional-order derivative; Nonlinear differential equations; The exp-function method;
Blow-up results and soliton solutions for a generalized variable coefficient nonlinear Schrödinger equation
Keywords: Soliton-like equations; Nonlinear Schrödinger like equations; Fiber optics; Gross-Pitaevskii equation; Similarity transformations and Riccati-Ermakov systems; 81Q05; 35C05; 42A38;
A few shape optimization results for a biharmonic Steklov problem
Keywords: 35J30; 35C05; 35P15; 49R05; 74K20Biharmonic operator; Steklov boundary conditions; Eigenvalues; Isovolumetric perturbations; Isoperimetric inequality
Symmetry reductions, dynamical behavior and exact explicit solutions to the Gordon types of equations
Keywords: 37L20; 34C37; 35C05; 37G10Lie symmetry analysis; Vector field; Dynamical system method; Bifurcation; Traveling wave solution; sine-Gordon equation
On the solutions of the Cauchy problem for a class of partial differential equations with double characteristic at a point
Keywords: 35A20; 35C10; 35C05; 33C05; 35L10Singular solutions; Hypergeometric equation
An efficient control variate method for pricing variance derivatives
Keywords: 35A40; 35C05; 65C05; 60J65Variance swap; Stochastic volatility; Monte Carlo method; Control variate
The generalized tanh-coth method to special types of the fifth-order KdV equation
Keywords: 35C05; Traveling wave solution; tanh-coth method; Fifth-order KdV equation; KK equation; Ito equation; CDG equation;
Almost periodic solutions of a (2+1)-dimensional Schwarzian Korteweg de Vries equation
Keywords: 35C05; 35C15; 35Q53; Almost periodic function; Elliptic function; Schwarzian Korteweg de Vries equation;
Analytical methods for an elliptic singular perturbation problem in a circle
Keywords: 35B25; 35C05; 35C20; 35J25; 41A60Singular perturbations; Elliptic equations; Boundary value problem; Series solution; Uniform asymptotic expansion
Characteristic function method for classification of equations of hydrodynamics of a perfect fluid
Keywords: 35C05; 35F20; 35Q35; 76M60; Characteristic function method; Hydrodynamical equations; Perfect fluid;
Unsteady analytical solutions of the spherical shallow water equations
Keywords: 35C05; 35Q30; 65Z05; 76N15; 47.40.Dc; 92.60.Bh; Shallow water equations; Analytical solutions; Atmospheric flow;