Symmetries of Integro-Differential Equations With Applications in Mechanics and Plasma Physics /

• Main Authors: Grigoriev, Yurii N. (Author), Ibragimov, Nail H. (Author), Kovalev, Vladimir F. (Author), Meleshko, Sergey V. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands : Imprint: Springer, 2010.
• Series: Lecture Notes in Physics, 806
• Subjects: Physics.; Continuum physics.; Mechanics.; Atoms.; Matter.; Plasma (Ionized gases).; Theoretical, Mathematical and Computational Physics.; Atoms and Molecules in Strong Fields, Laser Matter Interaction.; Mathematical Methods in Physics.; Plasma Physics.; Classical Continuum Physics.

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 nonlinear problems using symmetries. Differential and integro-differe...

Table of Contents:

• to Group Analysis of Differential Equations
• to Group Analysis and Invariant Solutions of Integro-Differential Equations
• The Boltzmann Kinetic Equation and Various Models
• Plasma Kinetic Theory: Vlasov–Maxwell and Related Equations
• Symmetries of Stochastic Differential Equations
• Delay Differential Equations.