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New Trends in Integrability and Partial Solvability (Paperback, 2004 ed.)
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New Trends in Integrability and Partial Solvability (Paperback, 2004 ed.)
Series: NATO Science Series II: Mathematics, Physics and Chemistry, 132
Expected to ship within 10 - 15 working days
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TheAdvancedResearchWorkshop"NewTrendsinIntegrabilityandPartial
Solvability"(ARW. 978791)
tookplaceinthebeautifulsettingoftheFaculty ofMedicineofC
adizUniversity'smainroomonJune13-15,2002. Although
thenumberofparticipantswas 30, thelectureswereattendedbymorethan
one hundred researchers from around the world who were also
attending the NEEDS 2002 meeting. Theaim of the organizers was to
take advantage of these events to bring together researchers from
the ?eld of integrable systems and/or from the particular subject
of partial integrability, in view of the current interest in
combining methods and ideas arising from both areas. A widevariety
of topics were covered in the talks andthe subsequent discussions,
including the analysis of reductions and solutions of integrable
nonlinear partial di?erential equations and dynamical systems, new
me- ods for the analysis of initial-boundary value problems for
linear partial di?erential equations, quasi-exactly solvable Bose
systems, the geometric theory of ordinarydi?erential equations,
exactly and partially solvable spin models, the theory of nonlocal
symmetries of di?erential equations, and superintegrable systems.
Theworkshop revealed the growing importance of the theory of
integrable system as well as the emerging theory of partially
solvable systems. The present volume contains a series of invited
contributions describing the background and recent developments of
the main subjects discussed in the workshop. Special emphasis has
been laid on providing self-contained and detailed presentations of
the theory. M. J. Ablowitz and J. Villarroel give a detailed
description of the inverse scattering for the KP equation, a
keystone in the theory of integrable s- tems."
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