Titlebook: Symmetries of Integro-Differential Equations; With Applications in Yurii N. Grigoriev,Nail H. Ibragimov,Sergey V. Mel Book 2010 Springer Sc

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,Plasma Kinetic Theory: Vlasov–Maxwell and Related Equations,and electron–ion plasmas in both one- and three-dimensional cases, and symmetries for Benney equations. In the concluding sections of this chapter the procedure for symmetry calculation and the renormalization group algorithm go hand in hand to present illustrations from plasma kinetic theory, plasm

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expository

Delay Differential Equations,oup for delay differential equations is considered in the next section. The last section of the chapter is devoted to application of the developed theory to the reaction–diffusion equation with a delay.

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0075-8450 elf-contained introduction to basic concepts and methods of .This book aims to coherently present applications of group analysis to integro-differential equations in an accessible way. The book will be useful to both physicists and mathematicians interested in general methods to investigate nonlinea

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The Boltzmann Kinetic Equation and Various Models,s of the full Boltzmann equation. For equations similar to the full Boltzmann equation complete admitted Lie groups are derived by solving determining equations. The corresponding optimal systems of admitted subalgebras are constructed and representations of all invariant solutions are obtained.

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Introduction to Group Analysis and Invariant Solutions of Integro-Differential Equations,ions is given. The most known integro-differential equations are kinetic equations which form a mathematical basis in the kinetic theories of rarefied gases, plasma, radiation transfer, coagulation. Since these equations are directly associated with fundamental physical laws, there is special intere

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The Boltzmann Kinetic Equation and Various Models,rm the foundation of the kinetic theory of rarefied gas and coagulation. They typically include special integral operators with quadratic nonlinearity and multiple kernels which are called collision integrals..Calculations of the 11-parameter Lie group .. admitted by the full Boltzmann equation with