Loop Like Solitons In The Theory Of Nonlinear Evolution Equations

Author : V. O. Vakhnenko
Publisher : Cambridge Scholars Publishing
ISBN 13 : 1527581470
Total Pages : 240 pages
Book Rating : 4.70/5 ( download)

DOWNLOAD NOW!

Download or read book Loop-like Solitons in the Theory of Nonlinear Evolution Equations written by V. O. Vakhnenko and published by Cambridge Scholars Publishing. This book was released on 2022-02-17 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows that the physical phenomena and processes that take place in nature generally have complicated nonlinear features, which leads to nonlinear mathematical models for the real processes. It focuses on the practical issues involved here, as well as the development of methods to investigate the associated nonlinear mathematical problems, including nonlinear wave propagation. It acquaints the reader with a series of methods and approaches that can be applied to a wide class of nonlinear equations. The book also outlines a way in which an uninitiated reader could investigate a new nonlinear equation.

Author : Sandra Carillo
Publisher : Springer Science & Business Media
ISBN 13 : 3642840396
Total Pages : 247 pages
Book Rating : 4.95/5 ( download)

DOWNLOAD NOW!

Download or read book Nonlinear Evolution Equations and Dynamical Systems written by Sandra Carillo and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Evolution Equations and Dynamical Systems (NEEDS) provides a presentation of the state of the art. Except for a few review papers, the 40 contributions are intentially brief to give only the gist of the methods, proofs, etc. including references to the relevant litera- ture. This gives a handy overview of current research activities. Hence, the book should be equally useful to the senior resercher as well as the colleague just entering the field. Keypoints treated are: i) integrable systems in multidimensions and associated phenomenology ("dromions"); ii) criteria and tests of integrability (e.g., Painlev test); iii) new developments related to the scattering transform; iv) algebraic approaches to integrable systems and Hamiltonian theory (e.g., connections with Young-Baxter equations and Kac-Moody algebras); v) new developments in mappings and cellular automata, vi) applications to general relativity, condensed matter physics, and oceanography.

Author : Mark J. Ablowitz
Publisher :
ISBN 13 : 9781107361614
Total Pages : 529 pages
Book Rating : 4.13/5 ( download)

DOWNLOAD NOW!

Download or read book Solitons, Nonlinear Evolution Equations and Inverse Scattering written by Mark J. Ablowitz and published by . This book was released on 1991 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will be a valuable addition to the growing literature in the area and essential reading for all researchers in the field of soliton theory.

Author : M. A. Ablowitz
Publisher :
ISBN 13 : 9781107366527
Total Pages : 532 pages
Book Rating : 4.26/5 ( download)

DOWNLOAD NOW!

Download or read book Solitons, Nonlinear Evolution Equations and Inverse Scattering written by M. A. Ablowitz and published by . This book was released on 1991 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will be a valuable addition to the growing literature in the area and essential reading for all researchers in the field of soliton theory.

Author : Reinhard Racke
Publisher : Birkhäuser
ISBN 13 : 3319218735
Total Pages : 315 pages
Book Rating : 4.31/5 ( download)

DOWNLOAD NOW!

Download or read book Lectures on Nonlinear Evolution Equations written by Reinhard Racke and published by Birkhäuser. This book was released on 2015-08-31 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book mainly serves as an elementary, self-contained introduction to several important aspects of the theory of global solutions to initial value problems for nonlinear evolution equations. The book employs the classical method of continuation of local solutions with the help of a priori estimates obtained for small data. The existence and uniqueness of small, smooth solutions that are defined for all values of the time parameter are investigated. Moreover, the asymptotic behaviour of the solutions is described as time tends to infinity. The methods for nonlinear wave equations are discussed in detail. Other examples include the equations of elasticity, heat equations, the equations of thermoelasticity, Schrödinger equations, Klein-Gordon equations, Maxwell equations and plate equations. To emphasize the importance of studying the conditions under which small data problems offer global solutions, some blow-up results are briefly described. Moreover, the prospects for corresponding initial boundary value problems and for open questions are provided. In this second edition, initial-boundary value problems in waveguides are additionally considered.

Author : Paul Bracken
Publisher : BoD – Books on Demand
ISBN 13 : 1789855438
Total Pages : 138 pages
Book Rating : 4.32/5 ( download)

DOWNLOAD NOW!

Download or read book Research Advances in Chaos Theory written by Paul Bracken and published by BoD – Books on Demand. This book was released on 2020-03-11 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of chaos has invaded practically every area of the natural sciences. Weather patterns are referred to as chaotic. There are chemical reactions and chaotic evolution of insect populations. Atomic and molecular physics have also seen the emergence of the study of chaos in these microscopic domains. This book examines the issue of chaos in nonlinear and dynamical systems, quantum mechanics, biology, and economics.

Author : Wolfgang Arendt
Publisher : Birkhäuser
ISBN 13 : 3034879245
Total Pages : 803 pages
Book Rating : 4.48/5 ( download)

DOWNLOAD NOW!

Download or read book Nonlinear Evolution Equations and Related Topics written by Wolfgang Arendt and published by Birkhäuser. This book was released on 2012-12-06 with total page 803 pages. Available in PDF, EPUB and Kindle. Book excerpt: Philippe Bénilan was a most original and charismatic mathematician who had a deep and decisive impact on the theory of Nonlinear Evolution Equations. Dedicated to him, Nonlinear Evolution Equations and Related Topics contains research papers written by highly distinguished mathematicians. They are all related to Philippe Benilan's work and reflect the present state of this most active field. The contributions cover a wide range of nonlinear and linear equations.

Author : Songmu Zheng
Publisher : CRC Press
ISBN 13 : 0203492226
Total Pages : 304 pages
Book Rating : 4.22/5 ( download)

DOWNLOAD NOW!

Download or read book Nonlinear Evolution Equations written by Songmu Zheng and published by CRC Press. This book was released on 2004-07-08 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear evolution equations arise in many fields of sciences including physics, mechanics, and material science. This book introduces some important methods for dealing with these equations and explains clearly and concisely a wide range of relevant theories and techniques. These include the semigroup method, the compactness and monotone operator

Author : F. Calogero
Publisher : Pitman Publishing
ISBN 13 :
Total Pages : 292 pages
Book Rating : 4.65/5 ( download)

DOWNLOAD NOW!

Download or read book Nonlinear Evolution Equations Solvable by the Spectral Transform written by F. Calogero and published by Pitman Publishing. This book was released on 1978 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume contains the text of the invited lectures presented at the International Symposium on "Nonlinear Evolution Equations Solvable by the Inverse Spectral Transform", that took place at the Accademia dei Lincei in Rome from June 15 through June 18, 1977. It introduces an important mathematical technique based on the spectral transform and relevant to the solution of nonlinear evolution equations. These texts will be of particular value to theoretical physicists (in plasma, nonlinear optics, hydrodynamics, solid state and elementary particles); applied mathematicians interested in nonlinear evolution equations; and pure mathematicians interested in algebraic and differential geometry.

Author : Colin Rogers
Publisher : Cambridge Scholars Publishing
ISBN 13 : 1527591557
Total Pages : 166 pages
Book Rating : 4.54/5 ( download)

DOWNLOAD NOW!

Download or read book A Nonlinear Progress to Modern Soliton Theory written by Colin Rogers and published by Cambridge Scholars Publishing. This book was released on 2022-12-06 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a historical account of the discovery in 1834 of a remarkable singular wave that was ultimately to lead to the development of modern soliton theory with its diverse physical applications. In terms of associated geometry, the classical work of Bäcklund and Bianchi and its consequences is recounted, notably with regard to nonlinear superposition principles, which later were shown to be generic to soliton systems and which provide the analytic description of complex multi-soliton interaction. Whereas the applications of modern soliton in certain areas of physics are well-documented, deep connections between soliton theory and nonlinear continuum mechanics have had a separate development. This book describes wide applications in such disparate areas as elastostatics, elastodynamics, superelasticity, shell theory, magnetohydrostatics and magnetohydrodynamics, and will appeal to research scientists and advanced students with an interest in integrable systems in nonlinear physics or continuum mechanics.