Nonlinear Waves, Solitons and Chaos - 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 Nonlinear Waves, Solitons and Chaos write by Eryk Infeld. This book was released on 2000-07-13. Nonlinear Waves, Solitons and Chaos available in PDF, EPUB and Kindle. The second edition of a highly successful book on nonlinear waves, solitons and chaos.
Nonlinear Waves, Solitons And Chaos
Nonlinear Waves, Solitons And Chaos - 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 Nonlinear Waves, Solitons And Chaos write by G. Rowlands. This book was released on . Nonlinear Waves, Solitons And Chaos available in PDF, EPUB and Kindle.
Wave Physics
Wave 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 Wave Physics write by Stephen Nettel. This book was released on 2013-04-17. Wave Physics available in PDF, EPUB and Kindle. This textbook gives a detailed explanation of waves and oscillations in classical physics. These classical phenomena are dealt with at a more advanced level than is customary for second-year courses. All aspects of classical wave physics are presented, including the mathematical and physical basis needed for extended understanding. Finally several chapters are devoted to important topics in current wave physics. Special attention is given to nonlinear waves, solitons, chaotic behavior and associated phenomena. The new edition contains improvements such as full development of Greens functions, a broadening of the treatment of wave mechanics and a closer integration with classical mechanics, plus more examples and problems.
Nonlinear Wave Dynamics
Nonlinear Wave Dynamics - 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 Nonlinear Wave Dynamics write by J. Engelbrecht. This book was released on 2013-04-17. Nonlinear Wave Dynamics available in PDF, EPUB and Kindle. At the end of the twentieth century, nonlinear dynamics turned out to be one of the most challenging and stimulating ideas. Notions like bifurcations, attractors, chaos, fractals, etc. have proved to be useful in explaining the world around us, be it natural or artificial. However, much of our everyday understanding is still based on linearity, i. e. on the additivity and the proportionality. The larger the excitation, the larger the response-this seems to be carved in a stone tablet. The real world is not always reacting this way and the additivity is simply lost. The most convenient way to describe such a phenomenon is to use a mathematical term-nonlinearity. The importance of this notion, i. e. the importance of being nonlinear is nowadays more and more accepted not only by the scientific community but also globally. The recent success of nonlinear dynamics is heavily biased towards temporal characterization widely using nonlinear ordinary differential equations. Nonlinear spatio-temporal processes, i. e. nonlinear waves are seemingly much more complicated because they are described by nonlinear partial differential equations. The richness of the world may lead in this case to coherent structures like solitons, kinks, breathers, etc. which have been studied in detail. Their chaotic counterparts, however, are not so explicitly analysed yet. The wavebearing physical systems cover a wide range of phenomena involving physics, solid mechanics, hydrodynamics, biological structures, chemistry, etc.
Nonlinear Waves in Elastic Crystals
Nonlinear Waves in Elastic Crystals - 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 Nonlinear Waves in Elastic Crystals write by Gérard A. Maugin. This book was released on 1999. Nonlinear Waves in Elastic Crystals available in PDF, EPUB and Kindle. The mathematical modelling of changing structures in materials is of increasing importance to industry where applications of the theory are found in subjects as diverse as aerospace and medicine. This book deals with aspects of the nonlinear dynamics of deformable ordered solids (known as elastic crystals) where the nonlinear effects combine or compete with each other. Physical and mathematical models are discused and computational aspects are also included. Different models are considered - on discrete as well as continuum scales - applying heat, electricity, or magnetism to the crystal structure and these are analysed using the equations of rational mechanics. Students are introduced to the important equations of nonlinear science that describe shock waves, solitons and chaos and also the non-exactly integrable systems or partial differential equations. A large number of problems and examples are included, many taken from recent research and involving both one-dimensional and two-dimensional problems as well as some coupled degress of freedom.
