An Introduction To Methods Of Complex Analysis And Geometry For Classical Mechanics And Non Linear Waves
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An Introduction To Methods Of Complex Analysis And Geometry For Classical Mechanics And Non Linear Waves
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Author : Daniel Benest
language : en
Publisher: Atlantica Séguier Frontières
Release Date : 1994
An Introduction To Methods Of Complex Analysis And Geometry For Classical Mechanics And Non Linear Waves written by Daniel Benest and has been published by Atlantica Séguier Frontières this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Celestial mechanics categories.
The Painlev Handbook
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Author : Robert M. Conte
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-11-23
The Painlev Handbook written by Robert M. Conte and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-23 with Science categories.
Nonlinear differential or difference equations are encountered not only in mathematics, but also in many areas of physics (evolution equations, propagation of a signal in an optical fiber), chemistry (reaction-diffusion systems), and biology (competition of species). This book introduces the reader to methods allowing one to build explicit solutions to these equations. A prerequisite task is to investigate whether the chances of success are high or low, and this can be achieved without any a priori knowledge of the solutions, with a powerful algorithm presented in detail called the Painlevé test. If the equation under study passes the Painlevé test, the equation is presumed integrable. If on the contrary the test fails, the system is nonintegrable or even chaotic, but it may still be possible to find solutions. The examples chosen to illustrate these methods are mostly taken from physics. These include on the integrable side the nonlinear Schrödinger equation (continuous and discrete), the Korteweg-de Vries equation, the Hénon-Heiles Hamiltonians, on the nonintegrable side the complex Ginzburg-Landau equation (encountered in optical fibers, turbulence, etc), the Kuramoto-Sivashinsky equation (phase turbulence), the Kolmogorov-Petrovski-Piskunov equation (KPP, a reaction-diffusion model), the Lorenz model of atmospheric circulation and the Bianchi IX cosmological model. Written at a graduate level, the book contains tutorial text as well as detailed examples and the state of the art on some current research.
Journal Of Nonlinear Mathematical Physics Vol 14
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Author :
language : en
Publisher: atlantis press
Release Date :
Journal Of Nonlinear Mathematical Physics Vol 14 written by and has been published by atlantis press this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
The Painlev Handbook
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Author : Robert Conte
language : en
Publisher: Springer Nature
Release Date : 2020-11-07
The Painlev Handbook written by Robert Conte and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-07 with Science categories.
This book, now in its second edition, introduces the singularity analysis of differential and difference equations via the Painlevé test and shows how Painlevé analysis provides a powerful algorithmic approach to building explicit solutions to nonlinear ordinary and partial differential equations. It is illustrated with integrable equations such as the nonlinear Schrödinger equation, the Korteweg-de Vries equation, Hénon-Heiles type Hamiltonians, and numerous physically relevant examples such as the Kuramoto-Sivashinsky equation, the Kolmogorov-Petrovski-Piskunov equation, and mainly the cubic and quintic Ginzburg-Landau equations. Extensively revised, updated, and expanded, this new edition includes: recent insights from Nevanlinna theory and analysis on both the cubic and quintic Ginzburg-Landau equations; a close look at physical problems involving the sixth Painlevé function; and an overview of new results since the book’s original publication with special focus on finite difference equations. The book features tutorials, appendices, and comprehensive references, and will appeal to graduate students and researchers in both mathematics and the physical sciences.
Nonlinear Pde S Dynamics And Continuum Physics
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Author : J. L. Bona
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
Nonlinear Pde S Dynamics And Continuum Physics written by J. L. Bona and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
This volume contains the refereed proceedings of the conference on Nonlinear Partial Differential Equations, Dynamics and Continuum Physics which was held at Mount Holyoke College in Massachusetts, from July 19th to July 23rd, 1998. Models examined derive from a wide range of applications, including elasticity, thermoviscoelasticity, granular media, fluid dynamics, gas dynamics and conservation laws. Mathematical topics include existence theory and stability/instability of traveling waves, asymptotic behavior of solutions to nonlinear wave equations, effects of dissipation, mechanisms of blow-up, well-posedness and regularity, and fractal solutions. The text will be of interest to graduate students and researchers working in nonlinear partial differential equations and applied mathematics.
Nonlinear Physics Theory And Experiment Nature Structure And Properties Of Nonlinear Phenomena Proceedings Of The First Conference
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Author : Eleonora Alfinito
language : en
Publisher: World Scientific
Release Date : 1996-06-20
Nonlinear Physics Theory And Experiment Nature Structure And Properties Of Nonlinear Phenomena Proceedings Of The First Conference written by Eleonora Alfinito and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-06-20 with categories.
This volume constitutes the proceedings of the Workshop 'Nonlinear Physics. Theory and Experiment' held in Gallipoli (Lecce, Italy) from June 29 to July 7, 1995.The purpose of the Workshop was to bring together scientists whose common interest is the nature, structure and properties of nonlinear phenomena in various areas of physics and applied mathematics.The purpose of the Workshop was to bring together scientists whose common interest is the nature, structure and properties of nonlinear phenomena in various areas of physics and applied mathematics.In fact, topics covered at the Workshop run from nonlinear optics to molecular dynamics, plasma waves, hydrodynamics, quantum electronics and solid state, and from inverse scattering transform methods to dynamical systems including integrability, hamiltonian structures, geometrical aspects, turbulence and chaos.
Journal Of Nonlinear Mathematical Physics
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Author :
language : en
Publisher: atlantis press
Release Date :
Journal Of Nonlinear Mathematical Physics written by and has been published by atlantis press this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
The Mathematica Guidebook For Programming
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Author : Michael Trott
language : en
Publisher: Springer
Release Date : 2013-12-21
The Mathematica Guidebook For Programming written by Michael Trott and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-21 with Mathematics categories.
Mathematica is today’s most advanced technical computing system. It features a rich programming environment, two-and three-dimensional graphics capabilities and hundreds of sophisticated, powerful programming and mathematical functions using state-of-the-art algorithms. Combined with a user-friendly interface, and a complete mathematical typesetting system, Mathematica offers an intuitive, easy-to-handle environment of great power and utility. The Mathematica Guidebook for Programming provides a comprehensive, step-by-step development of Mathematica programming capabilities and contains an enormous collection of examples and worked exercises. It guides the reader to become fluent in the structure of Mathematica expressions, expression evaluation, pure and named functions, and in procedural, rule-based, and functional programming constructs. Each Mathematica function is discussed in detail, explained in numerous examples. The programs for this book are available to download at the link below: http://extras.springer.com Unique Features: * Step-by-step presentation of Mathematica functions assuming no prior Mathematica programming experience * Clear organization, complete topic coverage, and an accessible writing style for both novices and experts * Detailed discussion of procedural, rule-based, and functional programming * Hundreds of worked examples, illustrations, programs, and fully worked self-study exercises for understanding concepts and learning how to solve real-life problems * Website for book with additional materials: http://www.MathematicaGuideBooks.org Michael Trott is a symbolic computation and computer graphics expert. He holds a Ph.D. in theoretical physics and joined the R&D team at Wolfram Research in 1994, the creators of Mathematica. Since 1998, he has been leading development of the Wolfram Functions Site http://functions.wolfram.com, which currently features more that 80,000 formulas and identities, and thousands of visualizations.
Integrability Of Nonlinear Systems
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Author : Yvette Kosmann-Schwarzbach
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-02-17
Integrability Of Nonlinear Systems written by Yvette Kosmann-Schwarzbach and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-17 with Science categories.
The lectures that comprise this volume constitute a comprehensive survey of the many and various aspects of integrable dynamical systems. The present edition is a streamlined, revised and updated version of a 1997 set of notes that was published as Lecture Notes in Physics, Volume 495. This volume will be complemented by a companion book dedicated to discrete integrable systems. Both volumes address primarily graduate students and nonspecialist researchers but will also benefit lecturers looking for suitable material for advanced courses and researchers interested in specific topics.
Seventh Marcel Grossmann Meeting The On Recent Developments In Theoretical And Experimental General Relativity Gravitation And Relativistic Field Theories Proceedings Of The 7th Marcel Grossmann Meeting In 2 Parts
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Author : Remo Ruffini
language : en
Publisher: World Scientific
Release Date : 1997-03-19
Seventh Marcel Grossmann Meeting The On Recent Developments In Theoretical And Experimental General Relativity Gravitation And Relativistic Field Theories Proceedings Of The 7th Marcel Grossmann Meeting In 2 Parts written by Remo Ruffini and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-03-19 with categories.
Since 1975, the triennial Marcel Grossmann Meetings have been organized in order to provide opportunities for discussing recent advances in gravitation, general relativity and relativisitic field theories, emphasizing mathematical foundations, physical predictions, and experimental tests.The proceedings of the Seventh Marcel Grossmann Meeting include the invited papers given at the plenary sessions, the summaries of the parallel sessions, the contributed papers presented at the parallel sessions, and the evening public lectures.The authors of these papers discuss many of the recent theoretical, observational, and experimental developments that have significant implications for the fields of physics, cosmology, and relativistic astrophysics.