Lie Group Analysis of Differential Equations
Ranis N. Ibragimov
Abstract
The book is focused on physical interpretation and visualization of the obtained invariant solutions for nonlinear mathematical modeling of atmospheric and ocean waves. This volume represents a unique blend of analytical and numerical methods complemented by the author's developments in ocean and atmospheric sciences and it is meant for researchers and graduate students interested in applied mathematics and mathematical modeling.
Topics & Concepts
Lie groupGroup (periodic table)MathematicsDifferential (mechanical device)Lie theoryGroup analysisPure mathematicsPsychologyPhysicsSocial psychologyAdjoint representation of a Lie algebraThermodynamicsQuantum mechanicsLie conformal algebraNumerical methods for differential equations