Applications Of Lie Group Analysis In Geophysical Fluid DynamicsAuthor(s): Nail H Ibragimov, Ranis N Ibragimov\nFormat: Hardback\nPublisher: World Scientific Publishing Co Pte Ltd, Singapore\nImprint: World Scientific Publishing Co Pte Ltd\nISBN-13: 9789814340465, 978-9814340465\nSynopsis\nThis is the first monograph dealing with the applications of the Lie group analysis to the modeling equations governing internal wave propagation in the deep ocean. A new approach to describe the nonlinear interactions of internal waves in the ocean is presented. While the central idea of the book is to investigate oceanic internal waves through the prism of Lie group analysis, it is also shown for the first time that internal wave beams, representing exact solutions to the equation of motion of stratified fluid, can be found by solving the given model as invariant solutions of nonlinear equations of motion. On the illustrative basis, it is also shown that the presence of the invariant solutions ma.