| New advances on integrable systems |
| Organizers: |
| Orlando Ragnisco ( Università di Roma Tre, Italy ) |
| Yunbo Zeng ( Tsinghua University, China ) |
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| The modern theory of integrable systems, as it has been formulated starting from the early sixties and the modern theory of nonlinear waves are intimately related subjects: prototype examples of integrable infinite-dimensional systems (KdV, NLS, SG) are at the same time protype examples of nonlinear wave equations. |
| The minisymposium on integrable systems will be focussed on some of the novel achievements in the research on integrable models which are in fact deeply connected with the investigation on the theory of nonlinear waves.
Accordingly, it will be focussed on the following issues: |
| 1. New developments in nonlinear field theory, classical and quantum; |
| 2. Integrable NLEES in multidimensions: spectral theory and explicit solutions; |
| 3. Dispersionless nonlinear waves: algebraic solutions |
| 4. Integrability of classical systems in a discrete setting: search for reliable detectors; |
| 5. Integrability of quantum systems in a discrete setting and new orthogonal polynomias; |
| 6. Integrable spin chains: Gaudin and Spin Calogero-Moser systems. |
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| List of Speakers: |
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| 1) S.Y. Lou ( Ningbo University, China ) |
| "New integrable systems from known ones via anyon
parameterization" |
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| 2) Alexei Morozov ( ITEP, Moscow, Russia ) |
| "Recent developments in matrix models and conformal fied theory" |
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| 3) Z.X. Zhou ( Fudan University, China ) |
| "Darboux transformations for two dimensional elliptic affine Toda equations" |
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| 4) Barbara Prinari ( Università di Lecce,Italy ) |
| "Inverse Scattering Transform (IST) for the Multicomponent
Nonlinear Schrodinger (NLS) Equation Under Non-Vanishing Boundary Conditions" |
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| 5) W.X. Ma ( University of South Florida, U.S.A. ) |
| "Exploring Hamiltonian structures by variational identities" |
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| 6) P. M. Santini ( University of Rome, Italy ) |
| "On the dispersionless Kadomtsev-Petviashvili equation in n+1 dimensions: exact solutions, the Cauchy problem for small initial data and wave
breaking" |
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| 7) Z.N. Zhu ( Shanghai JiaoTong University, China ) |
| "Multi-soliton, multi-positon, multi-negaton, and
multi-periodic solutions of a coupled Volterra lattice system and their continuous limits" |
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| 8) Claude Viallet ( LPTHE Paris VI, France ) |
| "Integrable maps and lattice maps" |
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| 9) J.S. He ( Ningbo University, China ) |
| "From Rogue Wave to Light Bullets for GP equation" |
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| 10) Ryu Sasaki ( Yukawa Inst. Theor. Phys. Kyoto, Japan ) |
| "Exactly Solvable (Discrete) Quantum Mechanics and
Exceptional Orthogonal Polynomials" |
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| 11) D.J. Zhang ( Shanghai University, China ) |
| "Multisoliton solutions to the lattice Boussinesq equation" |
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| 12) Alberto Enciso ( UCM Madrid, Madrid, Spain ) |
| "Spin chains of Haldane-Shastri type and a generalized central limit theorem" |
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| 13) Youjin Zhang ( Tsinghua University, China ) |
| "On Symmetries of the WDVV Equations" |
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| 14) Y.B. Zeng ( Tsinghua University, China ) |
| "A new extended matrix KP hierarchy and its solutions" |
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| 15) Krzysztof Marciniak ( Linkoping University, Sweden ) |
| "Solutions of multicomponent Harry Dym hierarchy emerging from Stäckel separable systems" |
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| 16) Peter Clarkson ( University of Kent, U.K. ) |
| "Rogue waves and rational solutions of the Boussinesq and nonlinear Schröedinger equations" |
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| 17) David Trubatch ( Montclair State University, U.S.A. ) |
| "Solitary-Wave Interaction in the Short-Pulse Equation" |
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| 18) R. Conte ( LRC MESO, France ) |
| "A new closed form solution to the quintic complex
Ginzburg-Landau equation" |
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| 19) Kai Tian ( AMSS, Chinese Academy of Sciences, China ) |
| "Supersymmetric Reciprocal Transformation and Its Applications" |
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