Nonlinear Physical Phenomena

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Nonlinear Physical Phenomena Proceedings Of The International Centre Of Condensed Matter Physics School

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Author : Alvaro Ferraz
language : en
Publisher: World Scientific
Release Date : 1990-11-30

Nonlinear Physical Phenomena Proceedings Of The International Centre Of Condensed Matter Physics School written by Alvaro Ferraz and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-11-30 with Science categories.

Non-linear effects are basically manifested in a variety of physical phenomena such as defect mediated transitions, pattern formation, growth of aggregates, turbulence, chemical reactions, diffusion in porous media, biological information processing, etc. Many non-linear dynamical systems are extremely sensitive to small changes in the initial conditions. Different routes to chaos have been established and a new geometry, called fractal geometry, has been developed. The aim of this School is to review the main achievements of the modern theory of irregular structures and to discuss the exciting new trends in non-linear phenomena.

Nonlinear Phenomena In The Ionosphere

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Author : A. Gurevich
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Nonlinear Phenomena In The Ionosphere written by A. Gurevich 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 2012-12-06 with Science categories.

Nonlinear effects in the ionosphere (cross modulation of radio waves) have been known since the 1930s. Only recently, however, has the rapid increase in the power and directivity of the radio transmitters made it possible to alter the properties of the ionosphere strongly and to modify it artificially by applying radio waves. This has revealed a variety of new physical phenomena. Their study is not only of scien tific interest but also undisputedly of practical interest, and is presently progressing very rapidly. This monograph is devoted to an exposition of the present status of theoretical research on this problem. Particular attention is paid, naturally, to problems in the development of which the author himself took part. It is my pleasant duty to thank V. L. Ginzburg, L. P. Pitaevskii, V. V. Vas'kov, E. E. Tsedilina, A. B. Shvartsburg, and Va. S. Dimant for useful discussions and for valuable remarks during various stages of the work on the problem considered in this book. Contents 1. Introduction . . . . . . . . . . . . . . . . . . .

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.

Nonlinear Physical Phenomena

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Author : Alvaro Ferraz
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 1991

Nonlinear Physical Phenomena written by Alvaro Ferraz and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Science categories.

Nonlinear Physics Of Plasmas

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Author : Mitsuo Kono
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-17

Nonlinear Physics Of Plasmas written by Mitsuo Kono 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 2010-10-17 with Science categories.

A nonlinearity is one of the most important notions in modern physics. A plasma is rich in nonlinearities and provides a variety of behaviors inherent to instabilities, coherent wave structures and turbulence. The book covers the basic concepts and mathematical methods, necessary to comprehend nonlinear problems widely encountered in contemporary plasmas, but also in other fields of physics and current research on self-organized structures and magnetized plasma turbulence. The analyses make use of strongly nonlinear models solved by analytical techniques backed by extensive simulations and available experiments. The text is written for senior undergraduates, graduate students, lecturers and researchers in laboratory, space and fusion plasmas.

Nonlinear Differential Equations In Physics

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Author : Santanu Saha Ray
language : en
Publisher: Springer Nature
Release Date : 2019-12-28

Nonlinear Differential Equations In Physics written by Santanu Saha Ray and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-28 with Mathematics categories.

This book discusses various novel analytical and numerical methods for solving partial and fractional differential equations. Moreover, it presents selected numerical methods for solving stochastic point kinetic equations in nuclear reactor dynamics by using Euler–Maruyama and strong-order Taylor numerical methods. The book also shows how to arrive at new, exact solutions to various fractional differential equations, such as the time-fractional Burgers–Hopf equation, the (3+1)-dimensional time-fractional Khokhlov–Zabolotskaya–Kuznetsov equation, (3+1)-dimensional time-fractional KdV–Khokhlov–Zabolotskaya–Kuznetsov equation, fractional (2+1)-dimensional Davey–Stewartson equation, and integrable Davey–Stewartson-type equation. Many of the methods discussed are analytical–numerical, namely the modified decomposition method, a new two-step Adomian decomposition method, new approach to the Adomian decomposition method, modified homotopy analysis method with Fourier transform, modified fractional reduced differential transform method (MFRDTM), coupled fractional reduced differential transform method (CFRDTM), optimal homotopy asymptotic method, first integral method, and a solution procedure based on Haar wavelets and the operational matrices with function approximation. The book proposes for the first time a generalized order operational matrix of Haar wavelets, as well as new techniques (MFRDTM and CFRDTM) for solving fractional differential equations. Numerical methods used to solve stochastic point kinetic equations, like the Wiener process, Euler–Maruyama, and order 1.5 strong Taylor methods, are also discussed.

Mathematics For Nonlinear Physics

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Author : J. R. Bogning
language : en
Publisher: Dorrance Publishing
Release Date : 2019-12-13

Mathematics For Nonlinear Physics written by J. R. Bogning and has been published by Dorrance Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-13 with Science categories.

Mathematics for Nonlinear Physics: Solitary Wave in the Center of the Resolution of Dispersive Nonlinear Partial Differential Equations By: J.R. Bogning Mathematics for Nonlinear Physics: Solitary Wave in the Center of the Resolution of Dispersive Nonlinear Partial Differential Equations is the result of ten years of high-level research on the dynamics of solitary waves. In the context of his different work in nonlinear physics, J.R. Bogning encountered differential equations with nonlinear partial derivatives whose search for solutions was not always obvious. But beyond the fact that these equations encountered were not always easy to integrate, the observation he made was that very few works proposed forced solitary wave solutions. So this book develops in detail new mathematical techniques to solve some types of nonlinear equations encountered in nonlinear physics. This book is unique in terms of its content; the theories developed inside are not in any other book. This book is the pioneer in the theory developed within it and will be the reference book from which other researchers and scientists will rely to extend and develop the mathematical concepts found there. Mastery of the properties and functions developed in the book will help to digitize solitary waves.

Schr Dinger Equations In Nonlinear Systems

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Author : Wu-Ming Liu
language : en
Publisher: Springer
Release Date : 2019-03-20

Schr Dinger Equations In Nonlinear Systems written by Wu-Ming Liu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-20 with Science categories.

This book explores the diverse types of Schrödinger equations that appear in nonlinear systems in general, with a specific focus on nonlinear transmission networks and Bose–Einstein Condensates. In the context of nonlinear transmission networks, it employs various methods to rigorously model the phenomena of modulated matter-wave propagation in the network, leading to nonlinear Schrödinger (NLS) equations. Modeling these phenomena is largely based on the reductive perturbation method, and the derived NLS equations are then used to methodically investigate the dynamics of matter-wave solitons in the network. In the context of Bose–Einstein condensates (BECs), the book analyzes the dynamical properties of NLS equations with the external potential of different types, which govern the dynamics of modulated matter-waves in BECs with either two-body interactions or both two- and three-body interatomic interactions. It also discusses the method of investigating both the well-posedness and the ill-posedness of the boundary problem for linear and nonlinear Schrödinger equations and presents new results. Using simple examples, it then illustrates the results on the boundary problems. For both nonlinear transmission networks and Bose–Einstein condensates, the results obtained are supplemented by numerical calculations and presented as figures.

Emergent Nonlinear Phenomena In Bose Einstein Condensates

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Author : Panayotis G. Kevrekidis
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-29

Emergent Nonlinear Phenomena In Bose Einstein Condensates written by Panayotis G. Kevrekidis 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 2007-12-29 with Science categories.

This book, written by experts in the fields of atomic physics and nonlinear science, covers the important developments in a special aspect of Bose-Einstein condensation, namely nonlinear phenomena in condensates. Topics covered include bright, dark, gap and multidimensional solitons; vortices; vortex lattices; optical lattices; multicomponent condensates; mathematical methods/rigorous results; and the beyond-the-mean-field approach.

New Numerical And Analytical Methods For Nonlinear Partial Differential Equations With Applications In Quantum Physics

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Author : Mustafa Inc
language : en
Publisher: Frontiers Media SA
Release Date : 2023-11-20

New Numerical And Analytical Methods For Nonlinear Partial Differential Equations With Applications In Quantum Physics written by Mustafa Inc and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-20 with Science categories.

Various numerical and analytical methods have been used to investigate the models of real-world phenomena. Namely, real-world models from quantum physics have been investigated by many researchers. This Research Topic aims to promote and exchange new and important theoretical and numerical results to study the dynamics of complex physical systems. In particular, the Research Topic will focus on numerical and analytical methods for nonlinear partial differential equations which have applications for quantum physical systems. Authors are encouraged to introduce their latest original research articles. The Research Topic will cover, but is not limited to, the following themes: - Mathematical methods in physics - Representations of Lie groups in physics - Quantum fields - Advanced numerical methods and techniques for nonlinear partial differential equations - Schrödinger classical and fractional operators - Conservation laws