Keywords: تجزیه و تحلیل تقارن; Nonlinear diffusion-convection-reaction equation; Lie symmetry analysis; Exact solutions;
مقالات ISI تجزیه و تحلیل تقارن (ترجمه نشده)
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Keywords: تجزیه و تحلیل تقارن; The multiple-term fractional Kolmogorov-Petrovskii-Piskunov equation; Lie symmetry analysis; Symmetry reduction; Conservation laws; Analytic solutions; 35Q51; 35Q53; 35C99; 68W30; 74J35;
Keywords: تجزیه و تحلیل تقارن; Van der Waals gas; Lie symmetry analysis; Exact solution; Weak discontinuities
Keywords: تجزیه و تحلیل تقارن; Lie symmetry analysis; Ill-posed Boussinesq equation; Similarity reduction; Exact solution
Keywords: تجزیه و تحلیل تقارن; (2+1)-dimensional Zakharov–Kuznetsov–Burgers equation; Lie symmetry analysis; Nonlinear self-adjointness; Conservation laws
Keywords: تجزیه و تحلیل تقارن; Lie symmetry analysis; Anomalous Doppler effect; Self-similar solutions; Pulse compression
Keywords: تجزیه و تحلیل تقارن; Kudryashov-Sinelshchikov equation; Lie symmetry analysis; Invariant solutions; Conservation laws;
Keywords: تجزیه و تحلیل تقارن; Lie symmetry analysis; Fractional reaction-convection-diffusion equation; Steady-state equations; Invariant solution;
Lie symmetry analysis for a parabolic Monge-Ampère equation in the optimal investment theory
Keywords: تجزیه و تحلیل تقارن; The parabolic Monge-Ampère equation; Lie symmetry analysis; Symmetry reductions; Invariant solutions;
Lie symmetries, group-invariant solutions and conservation laws of the Vasicek pricing equation of mathematical finance
Keywords: تجزیه و تحلیل تقارن; Vasicek pricing equation; Lie symmetry analysis; Optimal system of one-dimensional subalgebras; Group-invariant solutions; Conservation laws;
Lie symmetry analysis and group invariant solutions of the nonlinear Helmholtz equation
Keywords: تجزیه و تحلیل تقارن; Lie symmetry analysis; Nonlinear Helmholtz equation; Symmetry reduction; Painlevé analysis; Modified Prelle-Singer method; Periodic and solitary waves;
Invariant analysis with conservation laws for the time fractional Drinfeld-Sokolov-Satsuma-Hirota equations
Keywords: تجزیه و تحلیل تقارن; Time fractional coupled Drinfeld-Sokolov-Satsuma-Hirota equations; Lie symmetry analysis; Erdélyi-Kober operator; New conservation laws; 26A33; 34A08; 76M60;
Integrability, invariant and soliton solutions of generalized Kadomtsev-Petviashvili-modified equal width equation
Keywords: تجزیه و تحلیل تقارن; Painlevè test; Generalized KP-MEW equation; Variable coefficient; Soliton solution; Lie symmetry analysis;
On Lie symmetries, optimal systems and explicit solutions to the Kudryashov–Sinelshchikov equation
Keywords: تجزیه و تحلیل تقارن; Kudryashov–Sinelshchikov equation; Lie symmetry analysis; Power series method; Similarity reduction; Exact solutions35Q51; 35Q53; 35C99; 68W30; 74J35
Symmetry analysis of nonlinear heat and mass transfer equations under Soret effect
Keywords: تجزیه و تحلیل تقارن; Lie symmetry analysis; Group classification problem; Thermodiffusion equations; Transport coefficients; Exact solutions
Group analysis and exact solutions of the time fractional Fokker–Planck equation
Keywords: تجزیه و تحلیل تقارن; Time fractional Fokker–Planck (FP) equation; Lie symmetry analysis; Erdélyi–Kober fractional derivative; Riemann–Liouville derivative; Invariant solution
Lie symmetry analysis and exact explicit solutions of three-dimensional Kudryashov–Sinelshchikov equation
Keywords: تجزیه و تحلیل تقارن; Three-dimensional Kudryashov–Sinelshchikov equation; Lie symmetry analysis; Vector field; Riccati equation method; Exact explicit solutions
Lie symmetry analysis of the time fractional KdV-type equation
Keywords: تجزیه و تحلیل تقارن; Fractional KdV-type equation; Lie symmetry analysis; Erdélyi-Kober operator; Riemann-Liouville derivative;
Field theoretical Lie symmetry analysis: The Möbius group, exact solutions of conformal autonomous systems, and predictive model-building
Keywords: تجزیه و تحلیل تقارن; Lie symmetry analysis; Conformal ODEs; Möbius group; Autonomous systems
Group classification for equations of thermodiffusion in binary mixture
Keywords: تجزیه و تحلیل تقارن; Lie symmetry analysis; Group classification; Equivalence transformations; Thermodiffusion; Binary mixture; Transport coefficients
Lie symmetry analysis to the time fractional generalized fifth-order KdV equation
Keywords: تجزیه و تحلیل تقارن; Fractional generalized fifth-order KdV equation; Lie symmetry analysis; Erdélyi–Kober operators; Modified Riemann–Liouville derivative
Dynamics of internal waves in a stratified ocean modeled by the extended Gardner equation with time-dependent coefficients
Keywords: تجزیه و تحلیل تقارن; Variable-coefficients Gardner equation; Painlevé analysis; Lie symmetry analysis; Exact solutions
Group analysis of the modified generalized Vakhnenko equation
Keywords: تجزیه و تحلیل تقارن; Modified generalized Vakhnenko equation; Lie symmetry analysis; Lie symmetry group preserving scheme
On symmetries of stochastic differential equations
Keywords: تجزیه و تحلیل تقارن; Lie symmetry analysis; Stochastic differential equations; Fokker–Planck equation
Invariant analysis of time fractional generalized Burgers and Korteweg–de Vries equations
Keywords: تجزیه و تحلیل تقارن; Fractional differential equations; Erdélyi–Kober operators; Lie symmetry analysis; Riemann–Liouville fractional derivative
On a generalized Fisher equation
Keywords: تجزیه و تحلیل تقارن; Lie symmetry analysis; Generalized Fisher equation; Invariant solutions
A note on the integrability of the classical portfolio selection model
Keywords: تجزیه و تحلیل تقارن; Lie symmetry analysis; Portfolio selection theory; Differential equations
Lie symmetry analysis and exact solutions for the short pulse equation
Keywords: تجزیه و تحلیل تقارن; 17B80; 22E70; 35C05Short pulse equation; Lie symmetry analysis; Generalized symmetry method; Traveling wave solution; Power series solution
Lie group classifications and exact solutions for two variable-coefficient equations
Keywords: تجزیه و تحلیل تقارن; 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: تجزیه و تحلیل تقارن; 22E70; 35Q53General Burgers’ equation; Lie symmetry analysis; Similarity reduction; Exact solution