Ebook Info
- Published: 2006
- Number of pages: 528 pages
- Format: PDF
- File Size: 3.35 MB
- Authors: Victor A. Galaktionov
Description
Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics is the first book to provide a systematic construction of exact solutions via linear invariant subspaces for nonlinear differential operators. Acting as a guide to nonlinear evolution equations and models from physics and mechanics, the book
User’s Reviews
Reviews from Amazon users which were colected at the time this book was published on the website:
⭐a far cry from this legend’s famous research, this book instead dabbles in the crackpot. I expected a traditional approach but was instead greeted with that someone might find in the margins of an undergraduate trying to understand solutions of pdes. the approach can be summarized as a haphazard substitution of a finite sum of functions each multiplied by an independent function of time. then a dynamical system is derived in terms of these time functions which are left unsolved for the reader, in most cases.yes, technically they are solutions as they satisfy the equations, but, among other issues, not enough attention to detail is paid to the development of the spaces involved. for example, the author considers an operator to be an element of a function space, which isn’t necessarily fallacious, but is in this case. it made the rest difficult to follow, especially since the author enjoys using capital letterization to denote constants.additionally, one should not have the freedom to choose the operators within a set of equations – they should simply be. the author advocates choosing convenient pairs, but to what end? a fruitless endeavor since the solutions cannot be used.math doesn’t work in this manner – an operator is defined and an equation has one in some form. they are not arbitrary.disappointing, as most of the references are simply to list equations which he then butchers by applying his hacky and unusable methodology. it is the latter part of those that makes this work worthless, otherwise unconventional approaches in mathematics should never be deterred. this approach is maybe a useful exercise when learning about pdes, but classical methods allow analytical and numerical prediction and this methodology does not. so why frustratingly dedicate the remainder of your life, deceiving journal after journal into publishing your research because of a novel approach to a classic equation which yielded classic solutions? maybe the hope that it will lead to something similar in the future, which in this case is not possible. it does not always pay to think differently, sadly. I am guilty of the same, but not on this scale
Keywords
Free Download Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics (Chapman & Hall/CRC Applied Mathematics and Nonlinear Science Book 10) 1st Edition in PDF format
Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics (Chapman & Hall/CRC Applied Mathematics and Nonlinear Science Book 10) 1st Edition PDF Free Download
Download Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics (Chapman & Hall/CRC Applied Mathematics and Nonlinear Science Book 10) 1st Edition 2006 PDF Free
Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics (Chapman & Hall/CRC Applied Mathematics and Nonlinear Science Book 10) 1st Edition 2006 PDF Free Download
Download Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics (Chapman & Hall/CRC Applied Mathematics and Nonlinear Science Book 10) 1st Edition PDF
Free Download Ebook Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics (Chapman & Hall/CRC Applied Mathematics and Nonlinear Science Book 10) 1st Edition
