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Physics and Mathematics of Nonlinear Phenomena 2013 (PMNP2013)
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2014 J. Phys.: Conf. Ser. 482 011001
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Physics and Mathematics of Nonlinear Phenomena 2013 (PMNP2013)
Journal of Physics: Conference Series 482 (2014) 011001
IOP Publishing
Modern theory of nonlinear integrable equations is nowdays an important and effective tool of study
for numerous nonlinear phenomena in various branches of physics from hydrodynamics and optics to
quantum filed theory and gravity. It includes the study of nonlinear partial differential and discrete
equations, regular and singular behaviour of their solutions, Hamitonian and bi- Hamitonian structures,
their symmetries, associated deformations of algebraic and geometrical structures with applications to
various models in physics and mathematics.
The PMNP 2013 conference focused on recent advances and developments in
Continuous and discrete, classical and quantum integrable systems
Hamiltonian, critical and geometric structures of nonlinear integrable equations
Integrable systems in quantum field theory and matrix models
Models of nonlinear phenomena in physics
Applications of nonlinear integrable systems in physics
The Scientific Committee of the conference was formed by
Francesco Calogero (University of Rome ‘La Sapienza’, Italy)
Boris A. Dubrovin (SISSA, Italy)
Yuji Kodama (Ohio State University, USA)
Franco Magri (University of Milan ‘Bicocca’, Italy)
Vladimir E. Zakharov (University of Arizona, USA, and Landau Institute for Theoretical Physics,
The Organizing Committee: Boris G. Konopelchenko, Giulio Landolfi, Luigi Martina, Department
of Mathematics and Physics “E. De Giorgi” and the Istituto Nazionale di Fisica Nucleare, and Raffaele
Vitolo, Department of Mathematics and Physics “E. De Giorgi”.
The conference was supported by:
• E.I.N.S.T.E.IN Consortium
• MIUR (Ministero dell’Istruzione, dell’Universita‘ e della Ricerca; Italy). Project: P.R.I.N.
Geometric and analytic theory of Hamiltonian systems in finite and infinite dimensions
• University of Salento and Department of Mathematics and Physics “E. De Giorgi”, Lecce, Italy.
Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution
of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
Published under licence by IOP Publishing Ltd
Physics and Mathematics of Nonlinear Phenomena 2013 (PMNP2013)
Journal of Physics: Conference Series 482 (2014) 011001
IOP Publishing
The conference was attended by about 140 participants. We thank all of them for their talks, posters,
convival discussions and the papers presented here. All these contributed to the success of the PMNP
2013 conference.
B.G. Konopelchenko, G. Landolfi, L. Martina, R. Vitolo, Department of Mathematics and Physics
“E. De Giorgi”
Physics and Mathematics of Nonlinear Phenomena 2013 (PMNP2013)
Journal of Physics: Conference Series 482 (2014) 011001
IOP Publishing
Plenary speakers
• Francesco Calogero (University of Rome ‘La Sapienza’, Italy), Isochronous systems are not rare;
• Boris A. Dubrovin (SISSA, Trieste, Italy), Integrable systems in small dispersion expansion
• Athanassios S. Fokas (University of Cambridge, UK), Explicit formulae for the asymptotic
behavior of the unknown boundary values for integrable nonlinear evolution PDEs on the half-line
• Yuji Kodama (Ohio State University, USA), Construction of KP solitons from wave patterns
• Franco Magri (University of Milan ‘Bicocca’, Italy), Haantjes manifolds
• Andrey K. Pogrebkov (Steklov Mathematical Institute, Moscow, Russia), IST of KPII equation for
perturbed multisoliton solutions
• Paolo M. Santini (University of Rome ‘La Sapienza’, Italy), Overview of results on commuting
vector fields and integrable PDEs of hydrodynamic type in multidimensions
• Junkichi Satsuma (Aoyama Gakuin University, Japan), Ultradiscrete analysis on linear and
nonlinear systems
• Alexey B. Shabat (Landau Institute of Theoretical Physics, RAN, Moscow, Russia), Symmetric
polynomials and conservation laws
• Kanihisa Takasaki (Kyoto University, Japan), Modified melting crystal model and Ablowitz- Ladik
• Harry Yeh (Oregon State University, USA), Laboratory Realization of Kodama’s KP-Soliton
• Anton V. Zabrodin (ITEP, Moscow, Russia), Bethe ansatz and Hirota equation in integrable models
• Vladimir E. Zakharov (University of Arizona, USA, and Landau Institute for Theoretical Physics,
Russia), Integrable turbulence and nonlinear stage of modulational instability
List of talks
Simonetta Abenda
Igor Barashenkov
Julia Bernatska
Leonid Bogdanov
Sonia Boscolo
Georgy I. Burde
Diletta Burini
Silvana De Lillo
Vladislav Dubrovskiy
Anton Dzhamay
Victor A. Eremenko
Gregorio Falqui
Renato Fedele
Grassmannians and multi-soliton solutions to KP-II an
algebraic-geometric approach
PT-symmetry breaking and PT-symmetric solitons in a necklace of
coupled optical waveguides
SU(3) magnet: finite-gap integration on the lowest genus curve
Projective differential geometry of multidimensional dispersionless
integrable hierarchies.
Nonlinear pulse shaping and soliton dynamics in mode- locked
fibre lasers
Alternative Sets of Multisoliton Solutions of Some Integrable
Nonlocal Spectral Formulation of a Three Fluid System and
Numerical Investigation of Traveling Wave Solutions
Traveling Waves in Elastic Rods with Arbitrary Curvature and
About linear superpositions of Nizhnik-Veselov-Novikov equation
Discrete Schlesinger Transformations and Difference Painlevé
Nonlinear interaction of the concentrated waves
Inertia and stratification in incompressible Euler fluids in 2D
Relativistic charged-particle beam motion as thermal matter wave
envelope: modulational instability and soliton formation
Physics and Mathematics of Nonlinear Phenomena 2013 (PMNP2013)
Journal of Physics: Conference Series 482 (2014) 011001
Eugene Ferapontov
Vladimir Gerdjikov
Yves Grandati
Tamara Grava
Petr Grinevich
John Harnad
Véronique Hussin
Rossen Ivanov
Anton Izosimov
Leonid Kalyakin
Karima Khusnutdinova
Arthemy Kiselevv
Lyubomir Kovachev
Joseph Krasil’shchik
Boris Kruglikov
Anjan Kundu
Grzegorz Kwiatkowski
Sergey Leble
Jyh-Hao Lee
Francois Leyvraz Waltz
Sara Lombardo
Natalia I. Manaenkova
Kenichi Maruno
Annalisa Marzuoli
Vladimir Matveev
Oleg Mokhov
Antonio Moro
Richard Morris
Folkert Mueller-Hoissen
Vladimir Novikov
Victor Novokshenov
Maria Clara Nucci
Oktay Pashaev
IOP Publishing
On the central quadric ansatz: integrable models and Painleve
Riemann-Hilbert Problems with canonical normalization and
families of commuting operators
Extended Krein-Adler theorem for state-adding DarbouxBaecklund transformations
Asymptotic expansion in one matrix-Models
Discrete SL2 Connections and Self-Adjoint Difference Operators
on the Triangulated 2-manifolds.
Symmetric polynomials, generalized Jacobi-Trudi identities and
Tau functions
Grassmannian sigma models and constant curvature solutions
Euler-Poincaré equations for G-strands
Bi-Hamiltonian structures and stability
Stability under white noise perturbation
On KdV and KP equations in non-Cartesian geometries
On the geometry of the BV-Laplacian
A New Class of Localized Solutions of the Linear and Nonlinear
Wave Equations
Integrable structures on deformed cotangent coverings to PDEs
Dispersionless integrable PDEs and Einstein-Weyl geometry
Novel Hierarchies and Hidden Dimensions in Integrable Field
Models: Theory and Application
Quantum corrections to soliton solutions and applications
Pseudopotentials by Moutard transformations and differen- tial
NLS with Quantum Potential and the Related Reaction- Diffusion
A macroscopic system with undamped periodic compressional
Rational solitons of wave resonant interaction models
Applications of Tools of Nonlinear Time Series Analysis to
Ionospheric Data
Self-adaptive mesh discrete integrable systems
Hamiltonian dynamics of a quantum of space: quadratic symmetry
algebras and discrete orthogonal polynomials
Large parametric asymptotic of the multi-rogue waves solutions of
the NLS equation and rogue wave solutions of the KP-I equation
Commuting ordinary differential operators of arbitrary rank and
Integrable viscous conservation laws and applications
Symmetries, Conservation Laws and Reductions of a Fourth-order
Wave Equation
Soliton interactions in a tropical limit
Integrable systems in 2+1-dimensions: deformations of
dispersionless limits
Double scaling limit of the generalized Hermite and Okamoto
Spectral realization of the Riemann zeros by quantizing H = w(x)(p
+ lpˆ2/p): the Lie-Noether symmetry approach
Two Circle Theorem, q-Periodic Functions and Entangled Qubit
Physics and Mathematics of Nonlinear Phenomena 2013 (PMNP2013)
Journal of Physics: Conference Series 482 (2014) 011001
Maxim Pavlov
Alexander Protogenov
Orlando Ragnisco
Colin Rogers
Vladimir Roubtsov
Jan Sanders
Christian Scimiterna
Michael Semenov Tian-Shansky
Matteo Sommacal
Piergiulio Tempesta
Giorgio Tondo
Dmytro Uvarov
Tihomir Valchev
Pavel Winternitz
Chaozhong Wu
Derchyi Wu
Ismet Yurdusen
Yair Zarmi
IOP Publishing
Whitham Equations and Multi-dimensional Euler–Darboux–
Poisson System
Topological invariants and homotopy groups of SU(3)
On q-logarithmic integrable Hamiltonian reductions in spatial
anisentropic gasdynamics
Quadratic Poisson structures on free associative algebra
representations and double brackets
Automorphic Lie Algebras
Classification of C- and S-integrable equations defined on a three
or four-points lattice
Poisson Structure of Difference Lax Equations, Exchange Algebras
and Difference Galois Theory
Propagating two-dimensional magnetic droplets
Applications of Formal Groups to Nonlinear Physics and Number
Generalized Lenard Chains, Separation of Variables and
Towards proving integrability of AdS 4 x CPˆ3 superstring
On Quadratic Bundles Related to Hermitian Symmetric Spaces
Lie point symmetries of differential difference equations
Tau functions and Virasoro symmetries for Drinfeld-Sokolov
Integrable twisted hierarchies with D2 symmetries
Superintegrable systems with spin
Particles hidden in soliton dynamics in more than one space
Physics and Mathematics of Nonlinear Phenomena 2013 (PMNP2013)
Journal of Physics: Conference Series 482 (2014) 011001
IOP Publishing
List of posters
Nora Alexeeva
Anita Bagora
Roy Choudhury
Fiammetta Conforto
Laurent Delisle
Gianluca De Pasquale
Elizaveta Dubrovina
Valeriy Dvoeglazov
Zahida Ehsan
Mahmoud M. El-Borai
Gianpiero Gervino
Mariagiovanna Gianfreda
Benoit Huard
Abdul H. Kara
Nino Khatiashvili
Svetlana Kordyukova
Andrea Lavagno
Tony Lyons
Guido Macorini
Abdul Mannan
Luigi Martina
Phetogo Masemola
De-Xin Meng
Zoltan Néda
Antonio Palacios
Carlo Palmisano
Dmitry Pikulin
Sarah Post
Chris Radford
Angela Ricciardello
Danilo Riglioni
Marianna Ruggieri
Alexey Samokhin
Optical solitons in PT-Symmetric nonlinear couplers with gain and
Dust Fluid Tilted Bianchi Type V Cosmological Models With
Electromagnetic field
Building Integrable NLPDE Hierarchies with Temporally AND
Spatially Varying Coefficients
About the Quasi Steady State Approximation for a Reaction
Diffusion System Describing a Chain of Irreversible Chemical
Classical and Susy solutions of the BLMP equation
Numerical solution of the (2+1)D NLSE in a semi-strip
Water dissociation in a bipolar membrane
Notoph-Graviton-Photon Coupling
Excitation of strong radiations through beating of Lasers (EMWs)
and its interdisciplinary applications
Integrated semi groups and the Cauchy problem for some none
linear fractional differential equation
Nonlinear nuclear equation of state and thermodynamical
instabilities in warm and dense nuclear matter
C operators in PT -symmetric quantum mechanics
Classification of Integrable Davey-Stewartson Type Equations
Symmetries and conservation laws of differential and difference
On some effective solutions of the Non-Linear Schrodinger
Double boundary layer in asymptotics of nonlinear problem
Power-law distributions in protoneutron stars
Dark soliton and peakon solutions of the Qiao Equation
Towards the dressing phase in the AdS_3/CFT_2 duality
Nonlinear evolution of concentric solitons in shallow water and
their envelope soliton counterparts
Waves in the Skyrme–Faddeev model
On the invariances, conservation laws, and conserved quantities of
a transformed pt symmetric coupler
Interactions of solitons for a variable-coefficient generalized
dispersive water-wave system
Chaos on the conveyor belt
Nonlinear Dynamics of a Network of Spin Torque Nano-Oscillators
Resonant driving of a quartic oscillator
Complete bifurcation analysis of DC-DC converters under current
mode control
Contractions of quadratic algebras and limits of superintegrable
Static Stellar Systems are Spherically Symmetric
Hexacopter flight modeling
Classical and quantum Superintegrable systems from coalgebra
Optimal System of one Dimensional Subalgebras for Generalized
KdV Equations
On certain classes of symmetries for delay-difference equations
Physics and Mathematics of Nonlinear Phenomena 2013 (PMNP2013)
Journal of Physics: Conference Series 482 (2014) 011001
Yoshinao Shiraki
Gabriele Sicuro
Maria Paola Speciale
Fatema Tanjia
Nasser-eddine Tatar
Vladimir Tyuterev
Federica Vitale
Raffaele Vitolo
Herbert Wiegel
Ge Yi
Weighting Function for Improving the Convergence Performance of
IRWLS-Based All-Pass IIR Filters
Lie symmetries for fractional partial differential equations
Solitary wave solutions for a perturbed coupled KdV equations
derived from two-layer fuids
Relativisitic charged particle beam dynamics via the generation of
wake field
Hopfield neural networks with non-Lipschitz activation functions
Symmetry breaking and bifurcations in semi-classical and quantum
analyses of molecular vibration modes
The inverse scattering transform for the defocusing nonlinear
Schr"odinger equation with nonzero boundary condition
On the classification of homogeneous differential-geometric
third-order Poisson brackets
Kink-Antikink scattering in phi^4 and phi^6 models
The para-Jacobi polynomials and their applications in some
solvable isochronous systems
List of other participants
Oluwaseun Mattew Adeyemi
Matteo Beccaria
Khadija Bilal
Mahmoud el-Borai
Steven Brett
Federica Cataldini
Marta Dell’Atti
Elisaveta Dubrovina
Joel Ekstrand
Mohammed Amin Ghezzar
Francesco Giglio
Davide Guzzetti
David Janjgava
Robert Jenkins
Gianni Manno
Dario Merzi
C.Radhakrishnan Nair
Barbara Prinari
Rakeshwar Purohit
Simone Quaranta
Carmen Ropchan
Kamel Tahri
Daniele Valeri
IOP Publishing
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