DOI10.1007/978-90-481-3797-8zbMath1203.45006OpenAlexW1530700356MaRDI QIDQ990370
Nail H. Ibragimov, Vladimir F. Kovalev, Yurii N. Grigoriev, Sergey V. Meleshko
Publication date: 1 September 2010
Published in: Lecture Notes in Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-90-481-3797-8
Invariant and partially invariant solutions of integro-differential equations for linear thermoviscoelastic aging materials with memory ⋮
Optimal System and Invariant Solutions of the Hyperbolic Geometric Flow ⋮
On group symmetries of the hydrodynamic equations for rarefied gas ⋮
Construction of invariant solutions and conservation laws to the \((2+1)\)-dimensional integrable coupling of the KdV equation ⋮
Symmetry of stochastic non-variational differential equations ⋮
The novel operational matrices based on 2D-Genocchi polynomials: solving a general class of variable-order fractional partial integro-differential equations ⋮
Lie symmetry analysis for a parabolic Monge-Ampère equation in the optimal investment theory ⋮
Symmetries and invariant solutions of the one-dimensional Boltzmann equation for inelastic collisions ⋮
Approximate Symmetry in Nonlinear Physics Problems ⋮
Symmetries of stochastic differential equations: A geometric approach ⋮
Conformal invariance of the zero-vorticity Lagrangian path in 2D turbulence ⋮
Group-invariant solutions for time-fractional Fornberg-Whitham equation by Lie symmetry analysis ⋮
Invariant solutions for a class of perturbed nonlinear wave equations ⋮
On the complete group classification of the one-dimensional nonlinear Klein-Gordon equation with a delay ⋮
Analysis of a nonlinear Volterra-Fredholm integro-differential equation ⋮
Exact solutions of the Boltzmann equations with a source ⋮
Analysis of a coupled short pulse system via symmetry method ⋮
On the Fourier cosine-Kontorovich-Lebedev generalized convolution transforms. ⋮
Numerical solution of partial integro-differential equations by using projection method ⋮
Lie symmetry analysis, Lie-Bäcklund symmetries, explicit solutions, and conservation laws of Drinfeld-Sokolov-Wilson system ⋮
Residual symmetry, Bäcklund transformation and CRE solvability of a \((2+1)\)-dimensional nonlinear system ⋮
Symmetry analysis of the nonlinear two-dimensional Klein-Gordon equation with a time-varying delay ⋮
Reduction and reconstruction of stochastic differential equations via symmetries ⋮
Equivalence group and exact solutions of the system of nonhomogeneous Boltzmann equations ⋮
Lie symmetry analysis, Bäcklund transformations, and exact solutions of a (2 + 1)-dimensional Boiti-Leon-Pempinelli system ⋮
Group analysis of the one-dimensional Boltzmann equation. IV: Complete group classification in the general case ⋮
Study of fractional integro‐differential equations under Caputo‐Fabrizio derivative ⋮
Optimal system, similarity solution and Painlevé test on generalized modified Camassa-Holm equation ⋮
AN EFFECTIVE COMPUTATIONAL APPROACH BASED ON HERMITE WAVELET GALERKIN FOR SOLVING PARABOLIC VOLTERRA PARTIAL INTEGRO DIFFERENTIAL EQUATIONS AND ITS CONVERGENCE ANALYSIS ⋮
Conformal invariance of the Lungren–Monin–Novikov equations for vorticity fields in 2D turbulence ⋮
Group analysis of the Boltzmann and Vlasov equations ⋮
MC-Nonlocal-PINNs: Handling Nonlocal Operators in PINNs Via Monte Carlo Sampling ⋮
Symmetries and conservation laws associated with a hyperbolic mean curvature flow ⋮
Lagrangian formalism and Noether-type theorems for second-order delay ordinary differential equations ⋮
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Exact solutions of population balance equation ⋮
Analytical and numerical approach for a nonlinear Volterra-Fredholm integro-differential equation ⋮
A new wavelet method for solving a class of nonlinear partial integro-differential equations with weakly singular kernels ⋮
An improved radial basis functions method for the high-order Volterra-Fredholm integro-differential equations ⋮
Exact solutions and conservation laws of the system of two-dimensional viscous Burgers equations ⋮
On the Fourier-sine and Kontorovich-Lebedev generalized convolution transforms and their applications ⋮
Symmetry analysis of the nonhomogeneous inviscid Burgers equation with delay ⋮
Classical and non-classical Lie symmetry analysis, conservation laws and exact solutions of the time-fractional Chen-Lee-Liu equation ⋮
Exact solutions of the population balance equation including particle transport, using group analysis ⋮
Symmetries of the one-dimensional Fokker-Planck-Kolmogorov equation with a nonlocal quadratic nonlinearity ⋮
New insights into singularity analysis ⋮
Lie symmetry analysis and conservation laws for the \((2 + 1)\)-dimensional dispersionless B-type Kadomtsev-Petviashvili equation ⋮
Symmetries of the Fisher-Kolmogorov-Petrovskii-Piskunov equation with a nonlocal nonlinearity in a semiclassical approximation ⋮
Continuous point symmetries in group field theories ⋮
A new approach to the group analysis of one-dimensional stochastic differential equations ⋮
Application of group analysis to stochastic equations of fluid dynamics ⋮
Lie point symmetries of Stratonovich stochastic differential equations ⋮
On oscillation of integro-differential equations ⋮
Linearization criteria for systems of two second-order stochastic ordinary differential equations ⋮
Symmetries of population balance equations for aggregation, breakage and growth processes ⋮
Cheng equation: a revisit through symmetry analysis ⋮
Classical and nonclassical Lie symmetry analysis to a class of nonlinear time-fractional differential equations ⋮
Symmetry groups of integro-differential equations for linear thermoviscoelastic materials with memory ⋮
Two approximated techniques for solving of system of two-dimensional partial integral differential equations with weakly singular kernels ⋮
Lie symmetry analysis of the Heisenberg equation ⋮
Application of a Lie group admitted by a homogeneous equation for group classification of a corresponding inhomogeneous equation ⋮
Random Lie-point symmetries of stochastic differential equations ⋮
Lie symmetry analysis and exact solutions of fractional ordinary differential equations with neutral delay ⋮
Approximate symmetry analysis of a class of perturbed nonlinear reaction-diffusion equations ⋮
Lie symmetry analysis and conservation law for the equation arising from higher order Broer-Kaup equation ⋮
Random Lie symmetries of Itô stochastic differential equations ⋮
Solvability of singular integro-differential equations via Riemann-Hilbert problem ⋮
Exact solutions of population balance equations for breakage and growth processes, using group analysis ⋮
SYMMETRY ANALYSIS, EXACT SOLUTIONS AND POWER SERIES SOLUTIONS OF DISSIPATIVE HYPERBOLIC GEOMETRY FLOW ⋮
Optimal system and exact solutions for the generalized system of 2-dimensional Burgers equations with infinite Reynolds number ⋮
Group analysis of the Fourier transform of the spatially homogeneous and isotropic Boltzmann equation with a source term ⋮
Comment on ``Lie symmetry analysis, optimal system, new solitary wave solutions and conservation laws of the Pavlov equation ⋮ Invariant solutions of the normal hyperbolic mean curvature flow with dissipation ⋮ Invariant solutions and nonlinear self-adjointness of the two-component Chaplygin gas equation ⋮ Групповая классификация, инвариантные решения и законы сохранения нелинейного двумерного ортотропного уравнения фильтрации с дробной производной Римана-Лиувилля по времени ⋮ Fractional differential equations, compatibility, and exact solutions ⋮ Random Lie-point symmetries ⋮ Group properties of equations of the kinetic theory of coagulation ⋮ Symmetry analysis of space-time fractional Poisson equation with a delay ⋮ A Fourier generalized convolution transform and applications to integral equations ⋮ Optimal system, invariant solutions and conservation laws of the hyperbolic geometry flow with time-dependent dissipation ⋮ Symmetries and conservation laws of the Yao-Zeng two-component short-pulse equation ⋮ A semi-discrete scheme for solving nonlinear hyperbolic-type partial integro-differential equations using radial basis functions ⋮ On Fourier – Kontorovich–Lebedev generalized convolution transforms ⋮ Lie symmetry analysis of the Lundgren–Monin–Novikov equations for multi-point probability density functions of turbulent flow ⋮ Second-order delay ordinary differential equations, their symmetries and application to a traffic problem ⋮ The solution of the nonlinear mixed partial integro-differential equation via two-dimensional hybrid functions ⋮ Approximate nonclassical symmetries for the time-fractional KdV equations with the small parameter
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