Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

Special Issue on Geometrical Methods in Mathematical Physics

The Guest Editors for this special issue are

Boris Dubrovin (SISSA, Trieste, Italy and Lomonosov Moscow State University, Russia)
Yuji Kodama (Ohio State University, USA)
Igor Krichever (Columbia University, USA and Landau Institute for Theoretical Physics, Moscow, Russia)
Maxim Pavlov (Lomonosov Moscow State University and Lebedev Physical Institute, Moscow, Russia)
Sergei Shadrin (University of Amsterdam, The Netherlands)
Alexander Veselov (Loughborough University, UK)
Yuojin Zhang (Tsinghua University, Beijing, P.R. China)

The present collection contains papers closely related to the International Conference “Geometrical Methods in Mathematical Physics”, held at Moscow State University, December 12–17, 2011.

The issue contains 15 papers with the total of 302 pages.

We would like to thank all the authors who have published papers in the issue, and to give our special thanks to all the referees for providing constructive reports.

The Guest Editors        

Papers in this Issue:

A Generalization of the Hopf-Cole Transformation
Paulius Miškinis
SIGMA 9 (2013), 016, 19 pages   [ abs   pdf ]
Whitham's Method and Dubrovin-Novikov Bracket in Single-Phase and Multiphase Cases
Andrei Ya. Maltsev
SIGMA 8 (2012), 103, 54 pages   [ abs   pdf ]
Old and New Reductions of Dispersionless Toda Hierarchy
Kanehisa Takasaki
SIGMA 8 (2012), 102, 22 pages   [ abs   pdf ]
Frobenius 3-Folds via Singular Flat 3-Webs
Sergey I. Agafonov
SIGMA 8 (2012), 078, 15 pages   [ abs   pdf ]
Recursion Operators and Frobenius Manifolds
Franco Magri
SIGMA 8 (2012), 076,  7 pages   [ abs   pdf ]
Application of the B-Determining Equations Method to One Problem of Free Turbulence
Oleg V. Kaptsov and Alexey V. Schmidt
SIGMA 8 (2012), 073, 10 pages   [ abs   pdf ]
Conservation Laws, Hodograph Transformation and Boundary Value Problems of Plane Plasticity
Sergey I. Senashov and Alexander Yakhno
SIGMA 8 (2012), 071, 16 pages   [ abs   pdf ]
Bring's Curve: its Period Matrix and the Vector of Riemann Constants
Harry W. Braden and Timothy P. Northover
SIGMA 8 (2012), 065, 20 pages   [ abs   pdf ]
Affine and Finite Lie Algebras and Integrable Toda Field Equations on Discrete Space-Time
Rustem Garifullin, Ismagil Habibullin and Marina Yangubaeva
SIGMA 8 (2012), 062, 33 pages   [ abs   pdf ]
Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling Limits
Mihai Visinescu and Eduard Vîlcu
SIGMA 8 (2012), 058, 15 pages   [ abs   pdf ]
A 2+1-Dimensional Non-Isothermal Magnetogasdynamic System. Hamiltonian-Ermakov Integrable Reduction
Hongli An and Colin Rogers
SIGMA 8 (2012), 057, 15 pages   [ abs   pdf ]
A Two-Component Generalization of the Integrable rdDym Equation
Oleg I. Morozov
SIGMA 8 (2012), 051,  5 pages   [ abs   pdf ]
Another New Solvable Many-Body Model of Goldfish Type
Francesco Calogero
SIGMA 8 (2012), 046, 17 pages   [ abs   pdf ]
Darboux Integrals for Schrödinger Planar Vector Fields via Darboux Transformations
Primitivo B. Acosta-Humánez and Chara Pantazi
SIGMA 8 (2012), 043, 26 pages   [ abs   pdf ]
CKP Hierarchy, Bosonic Tau Function and Bosonization Formulae
Johan W. van de Leur, Alexander Yu. Orlov and Takahiro Shiota
SIGMA 8 (2012), 036, 28 pages   [ abs   pdf ]

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