Constructing Solutions Of The Ultra Discrete Painlev Equations
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Constructing Solutions Of The Ultra Discrete Painlev Equations
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Author : Callum Andrew Waite
language : en
Publisher:
Release Date : 2021
Constructing Solutions Of The Ultra Discrete Painlev Equations written by Callum Andrew Waite and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.
Tropical Value Distribution Theory And Ultra Discrete Equations
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Author : Risto Korhonen
language : en
Publisher: World Scientific
Release Date : 2015-03-17
Tropical Value Distribution Theory And Ultra Discrete Equations written by Risto Korhonen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-17 with Mathematics categories.
This is the first textbook-type presentation of tropical value distribution theory. It provides a detailed introduction of the tropical version of the Nevanlinna theory, describing growth and value distribution analysis of continuous, piecewise linear functions on the real axis. The book also includes applications of this theory to ultra-discrete equations. Three appendices are given to compare the contents of the theory with the classical counterparts in complex analysis.Detailed presentation of the proofs makes the book accessible for lecture courses and independent studies at the graduate and post-doctoral level.
Bilinear Integrable Systems From Classical To Quantum Continuous To Discrete
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Author : L D Faddeev
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-31
Bilinear Integrable Systems From Classical To Quantum Continuous To Discrete written by L D Faddeev 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 2006-05-31 with Science categories.
On April 29, 1814 Napoleon landed on the island of Elba, surrounded with a personal army of 1200 men. The allies, Russia, Prussia, England and Austria, hadforcedhimintoexileafteranumberofverycostlydefeats;hewasdeprived ofallhistitles,butcouldkeepthetitleof"EmperorofElba". Historytellsusthat each morning he took long walks in the sun, reviewed his army each midday anddiscussedworldmatterswithnewlyappointedadvisors,followingthesame pattern everyday, to the great surprise of Campbell, the British of'cer who was to keep an eye on him. All this made everyone believe he was settled there for good. Napoleononcesaid:Elbaisbeautiful,butabitsmall. Elbawasde'nitely a source of inspiration; indeed, the early morning, March 6, 1815, Metternich, the chancellor of Austria was woken up by one of his aides with the stunning news that Napoleon had left Elba with his 1200 men and was marching to Paris with little resistance; A few days later he took up his throne again in the Tuileries. In spite of his insatiable hunger for battles and expansion, he is remembered as an important statesman. He was a pioneer in setting up much of the legal, administrative and political machinery in large parts of continental Europe. We gathered here in a lovely and quaint ?shing port, Marciana Marina on theislandofElba,tocelebrateoneofthepioneersofintegrablesystems,Hirota Sensei,andthisattheoccasionofhisseventiethbirthday. Trainedasaphysicist in his home university Kyushu University, Professor Hirota earned his PhD in '61 at Northwestern University with Professor Siegert in the ?eld of "Quantum Statistical mechanics". He wrote a widely appreciated Doctoral dissertation on "FunctionalIntegralrepresentationofthegrandpartitionfunction".
Symmetries And Integrability Of Difference Equations
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Author : Peter A. Clarkson
language : en
Publisher: Cambridge University Press
Release Date : 1999-02-04
Symmetries And Integrability Of Difference Equations written by Peter A. Clarkson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-02-04 with Mathematics categories.
This volume comprises state-of-the-art articles in discrete integrable systems.
Painlev Transcendents
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Author : Athanassios S. Fokas
language : en
Publisher: American Mathematical Society
Release Date : 2023-11-20
Painlev Transcendents written by Athanassios S. Fokas and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-20 with Mathematics categories.
At the turn of the twentieth century, the French mathematician Paul Painlevé and his students classified second order nonlinear ordinary differential equations with the property that the location of possible branch points and essential singularities of their solutions does not depend on initial conditions. It turned out that there are only six such equations (up to natural equivalence), which later became known as Painlevé I–VI. Although these equations were initially obtained answering a strictly mathematical question, they appeared later in an astonishing (and growing) range of applications, including, e.g., statistical physics, fluid mechanics, random matrices, and orthogonal polynomials. Actually, it is now becoming clear that the Painlevé transcendents (i.e., the solutions of the Painlevé equations) play the same role in nonlinear mathematical physics that the classical special functions, such as Airy and Bessel functions, play in linear physics. The explicit formulas relating the asymptotic behaviour of the classical special functions at different critical points play a crucial role in the applications of these functions. It is shown in this book that even though the six Painlevé equations are nonlinear, it is still possible, using a new technique called the Riemann-Hilbert formalism, to obtain analogous explicit formulas for the Painlevé transcendents. This striking fact, apparently unknown to Painlevé and his contemporaries, is the key ingredient for the remarkable applicability of these “nonlinear special functions”. The book describes in detail the Riemann-Hilbert method and emphasizes its close connection to classical monodromy theory of linear equations as well as to modern theory of integrable systems. In addition, the book contains an ample collection of material concerning the asymptotics of the Painlevé functions and their various applications, which makes it a good reference source for everyone working in the theory and applications of Painlevé equations and related areas.
Nonlinearity
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Author :
language : en
Publisher:
Release Date : 2009-04
Nonlinearity written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04 with Mathematical analysis categories.
Classical And Quantum Nonlinear Integrable Systems
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Author : A Kundu
language : en
Publisher: CRC Press
Release Date : 2019-04-23
Classical And Quantum Nonlinear Integrable Systems written by A Kundu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-23 with Science categories.
Covering both classical and quantum models, nonlinear integrable systems are of considerable theoretical and practical interest, with applications over a wide range of topics, including water waves, pin models, nonlinear optics, correlated electron systems, plasma physics, and reaction-diffusion processes. Comprising one part on classical theories
Agriculture As A Metaphor For Creativity In All Human Endeavors
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Author : Robert S. Anderssen
language : en
Publisher: Springer
Release Date : 2018-03-13
Agriculture As A Metaphor For Creativity In All Human Endeavors written by Robert S. Anderssen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-13 with Technology & Engineering categories.
This book is a collection of papers presented at the 'Forum "Math-for-Industry" 2016 ' (FMfl2016), held at Queensland University of Technology, Brisbane, Australia, on November 21–23, 2016. The theme for this unique and important event was “Agriculture as a Metaphor for Creativity in All Human Endeavors”, and it brought together leading international mathematicians and active researchers from universities and industry to discuss current challenging topics and to promote interactive collaborations between mathematics and industry. The success of agricultural practice relies fundamentally on its interconnections with and dependence on biology and the environment. Both play essential roles, including the biological adaption to cope with environmental challenges of biotic and abiotic stress and global warming. The book highlights the development of mathematics within this framework that successful agricultural practice depends upon and exploits.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2005-06
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-06 with Mathematics categories.
Journal Of Physics A
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Author :
language : en
Publisher:
Release Date : 2001
Journal Of Physics A written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematical physics categories.
Focuses on fundamental mathematical and computational methods underpinning physics. Relevant to statistical physics, chaotic and complex systems, classical and quantum mechanics, classical and quantum integrable systems and classical and quantum field theory.