Symmetry, Phase Modulation and Nonlinear Waves - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Symmetry, Phase Modulation and Nonlinear Waves write by Thomas J. Bridges. This book was released on 2017-07-03. Symmetry, Phase Modulation and Nonlinear Waves available in PDF, EPUB and Kindle. Nonlinear waves are pervasive in nature, but are often elusive when they are modelled and analysed. This book develops a natural approach to the problem based on phase modulation. It is both an elaboration of the use of phase modulation for the study of nonlinear waves and a compendium of background results in mathematics, such as Hamiltonian systems, symplectic geometry, conservation laws, Noether theory, Lagrangian field theory and analysis, all of which combine to generate the new theory of phase modulation. While the build-up of theory can be intensive, the resulting emergent partial differential equations are relatively simple. A key outcome of the theory is that the coefficients in the emergent modulation equations are universal and easy to calculate. This book gives several examples of the implications in the theory of fluid mechanics and points to a wide range of new applications.
Symmetry, Phase Modulation and Nonlinear Waves
Symmetry, Phase Modulation and Nonlinear Waves - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Symmetry, Phase Modulation and Nonlinear Waves write by Thomas J. Bridges. This book was released on 2017-07-03. Symmetry, Phase Modulation and Nonlinear Waves available in PDF, EPUB and Kindle. Bridges studies the origin of Korteweg-de Vries equation using phase modulation and its implications in dynamical systems and nonlinear waves.
Controllable Nonlinear Waves in Graded-Index Waveguides (GRIN)
Controllable Nonlinear Waves in Graded-Index Waveguides (GRIN) - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Controllable Nonlinear Waves in Graded-Index Waveguides (GRIN) write by Thokala Soloman Raju. This book was released on . Controllable Nonlinear Waves in Graded-Index Waveguides (GRIN) available in PDF, EPUB and Kindle.
Nonconservative Stability Problems of Modern Physics
Nonconservative Stability Problems of Modern Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonconservative Stability Problems of Modern Physics write by Oleg N. Kirillov. This book was released on 2021-03-08. Nonconservative Stability Problems of Modern Physics available in PDF, EPUB and Kindle. This updated revision gives a complete and topical overview on Nonconservative Stability which is essential for many areas of science and technology ranging from particles trapping in optical tweezers and dynamics of subcellular structures to dissipative and radiative instabilities in fluid mechanics, astrophysics and celestial mechanics. The author presents relevant mathematical concepts as well as rigorous stability results and numerous classical and contemporary examples from non-conservative mechanics and non-Hermitian physics. New coverage of ponderomotive magnetism, experimental detection of Ziegler’s destabilization phenomenon and theory of double-diffusive instabilities in magnetohydrodynamics.
Geometry of the Phase Retrieval Problem
Geometry of the Phase Retrieval Problem - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometry of the Phase Retrieval Problem write by Alexander H. Barnett. This book was released on 2022-05-05. Geometry of the Phase Retrieval Problem available in PDF, EPUB and Kindle. Recovering the phase of the Fourier transform is a ubiquitous problem in imaging applications from astronomy to nanoscale X-ray diffraction imaging. Despite the efforts of a multitude of scientists, from astronomers to mathematicians, there is, as yet, no satisfactory theoretical or algorithmic solution to this class of problems. Written for mathematicians, physicists and engineers working in image analysis and reconstruction, this book introduces a conceptual, geometric framework for the analysis of these problems, leading to a deeper understanding of the essential, algorithmically independent, difficulty of their solutions. Using this framework, the book studies standard algorithms and a range of theoretical issues in phase retrieval and provides several new algorithms and approaches to this problem with the potential to improve the reconstructed images. The book is lavishly illustrated with the results of numerous numerical experiments that motivate the theoretical development and place it in the context of practical applications.
