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The idea of devoting a complete book to this topic was born at one
of the Workshops on Nonlinear and Turbulent Processes in Physics
taking place reg ularly in Kiev. With the exception of E. D. Siggia
and N. Ercolani, all authors of this volume were participants at
the third of these workshops. All of them were acquainted with each
other and with each other's work. Yet it seemed to be somewhat of a
discovery that all of them were and are trying to understand the
same problem - the problem of integrability of dynamical systems,
primarily Hamiltonian ones with an infinite number of degrees of
freedom. No doubt that they (or to be more exact, we) were led to
this by the logical process of scientific evolution which often
leads to independent, almost simultaneous discoveries. Integrable,
or, more accurately, exactly solvable equations are essential to
theoretical and mathematical physics. One could say that they
constitute the "mathematical nucleus" of theoretical physics whose
goal is to describe real clas sical or quantum systems. For
example, the kinetic gas theory may be considered to be a theory of
a system which is trivially integrable: the system of classical
noninteracting particles. One of the main tasks of quantum
electrodynamics is the development of a theory of an integrable
perturbed quantum system, namely, noninteracting electromagnetic
and electron-positron fields."
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Nonlinear Processes in Physics - Proceedings of the III Potsdam - V Kiev Workshop at Clarkson University, Potsdam, NY, USA, August 1-11, 1991 (Paperback, Softcover reprint of the original 1st ed. 1993)
A.S. Fokas, D.J. Kaup, A.C. Newell, V.E. Zakharov
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R2,978
Discovery Miles 29 780
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Ships in 10 - 15 working days
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In 1979, a historical meeting took place at the Institute for
Theoretical Physics in Kiev, USSR, where 48 American Scientists,
specialists in nonlinear and turbulent processes, met for two weeks
with their soviet counterparts. This meeting pro vided the unique
opportunity for USA and USSR participants to directly interact
personally and scientifically with each other. This interaction was
of great impor not only for the individuals involved but also for
the science of nonlinear tance phenomena in general. At the end of
the meeting, it was agreed that this exchange should continue, and
it was decided to have the next meeting in the USA in 1981.
Unfortunately, due to the political situation at that time, the
second meeting in the USA never materialized. However, in 1983, the
Soviet scientists organized in Kiev a second Workshop. This second
meeting was again quite successful. Similar meetings, with growing
success were organized at Kiev in 1987, and 1989. It should be
noted that 405 participants from 22 countries participated at the
fourth Kiev workshop on Nonlinear and Turbulent Processes. The
Chainnan of this workshop was V. Zakharov, who has also been a
co-chainnan of all the previous workshops."
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