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Bilinear Integrable Systems: from Classical to Quantum, Continuous to Discrete: Proceedings of the NATO Advanced Research Workshop on Bilinear Integrable Systems: From Classical to Quantum, Continuous to Discrete St. Petersburg, Russia, 15-19 September 2002 2006 ed. [Kietas viršelis]

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Kitos knygos pagal šią temą:
Kitos knygos pagal šią temą:
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”.
Preface ix
List of Participants
xiii
The CKP hierarchy and the WDVV prepotential
1(12)
Aratyn, Henrik
Van de Leur, Johan
Quantum invariance groups of particle algebras
13(4)
Arik, M.
Algebraic Hirota maps
17(18)
Athorne, Chris
Boundary states in SUSY sine-Gordon model
35(8)
Bajnok, Z.
Palla, L.
Takacs, G.
Geometry of discrete integrability. The consistency approach
43(12)
Bobenko, Alexander I.
Homoclinic orbits and dressing method
55(10)
Doktorov, E.V.
Rothos, V.M.
Riemann-Hilbert problem and algebraic curves
65(12)
Enolskii, V.
Grava, T.
Analytic and algebraic aspects of Toda field theories and their real Hamiltonian forms
77(8)
Gerdjikov, V.S.
Bilinear avatars of the discrete Painleve II equation
85(12)
Grammaticos, B.
Ramani, A.
Carstea, A. S.
Orthogonal polynomials satisfying Q-difference equations
97(16)
Haine, Luc
Discretization of coupled soliton equations
113(10)
Hirota, Ryogo
An adelic W-algebra and rank one bispectral operators
123(14)
Horozov, E.
Toroidal Lie algebra and bilinear identity of the self-dual Yang-Mills hierarchy
137(10)
Kakei, Saburo
From soliton equations to their zero curvature formulation
147(14)
Lambert, F.
Springael, J.
Covariant forms of Lax one-field operators: from Abelian to noncommutative
161(14)
Leble, Sergey
On the dirichlet boundary problem and Hirota equations
175(16)
Marshakov, A.
Zabrodin, A.
Functional-difference deformations of Darboux-Poshl-Teller potentials
191(18)
Matveev, Vladimir B.
Maxwell equations for quantum space-time
209(10)
Mir-Kasimov, R.M.
A solvable model of interacting photons
219(6)
Naudts, Jan
Discretization of a sine-Gordon type equation
225(6)
Ohta, Y.
Hierarchy of quantum explicitly solvable and integrable models
231(14)
Pogrebkov, A.K.
A two-parameter elliptic extension of the lattice KdV system
245(8)
Puttock, S.E.
Nijhoff, F.W.
Travelling waves in a perturbed discrete sine-Gordon equation
253(6)
Rothos, Vassilis M.
Feckan, Michal
Quantum VS classical Calogero--Moser systems
259(32)
Sasaki, Ryu
Geometrical dynamics of an integrable piecewise-linear mapping
291(10)
Takahashi, Daisuke
Iwao, Masataka
Free bosons and dispersionless limit of Hirota tau-function
301(12)
Takhtajan, Leon A.
Similarity reductions of Hirota bilinear equations and Painleve equations
313(12)
Tamizhmani, K.M.
Grammaticos, B.
Ramani, A.
Ohta, Y.
Tamizhmani, T.
On fundamental cycle of periodic Box-Ball systems
325(10)
Tokihiro, Tetsuji
Combinatorics and integrable geometry
335(28)
van Moerbeke, P.
On reductions of some KdV-type systems and their link to the quartic Henon-Heiles hamiltonian
363(12)
Verhoeven, C.
Musette, M.
Conte, R.
On the bilinear forms of Painleve's 4th equation
375
Willox, R.
Hietarinta, J.