CRC Handbook of Lie Group Analysis of Differential Equations

Released on by Nail H. Ibragimov
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  • CRC Handbook of Lie Group Analysis of Differential Equations Book Detail

  • Author : Nail H. Ibragimov
  • Release Date : 1994-11-28
  • Publisher : CRC Press
  • Genre : Mathematics
  • Pages : 570
  • ISBN 13 : 9780849328640
  • File Size : 93,93 MB
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CRC Handbook of Lie Group Analysis of Differential Equations by Nail H. Ibragimov PDF Summary

Book Description: Volume 2 offers a unique blend of classical results of Sophus Lie with new, modern developments and numerous applications which span a period of more than 100 years. As a result, this reference is up to date, with the latest information on the group theoretic methods used frequently in mathematical physics and engineering. Volume 2 is divided into three parts. Part A focuses on relevant definitions, main algorithms, group classification schemes for partial differential equations, and multifaceted possibilities offered by Lie group theoretic philosophy. Part B contains the group analysis of a variety of mathematical models for diverse natural phenomena. It tabulates symmetry groups and solutions for linear equations of mathematical physics, classical field theory, viscous and non-Newtonian fluids, boundary layer problems, Earth sciences, elasticity, plasticity, plasma theory (Vlasov-Maxwell equations), and nonlinear optics and acoustics. Part C offers an English translation of Sophus Lie's fundamental paper on the group classification and invariant solutions of linear second-order equations with two independent variables. This will serve as a concise, practical guide to the group analysis of partial differential equations.

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