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Nonlinear physics : theory and experiment. II : proceedings of the workshop, Universit di Lecce - Consortium Einstein, 27 June-6 July, Gallipoli, Italy /

The theory of solitons involves a broad variety of mathematical methods and appears in many areas of physics, technology, biology, and pure and applied mathematics. In this book, emphasis is placed on both theory (considering mathematical approaches for classical and quantum nonlinear systems - both...

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Bibliographic Details
Corporate Authors: Workshop on Nonlinear Physics, Theory and Experiment Gallipoli, Italy); World Scientific (Firm)
Group Author: Ablowitz, Mark J. (Editor)
Published: World Scientific Pub. Co.,
Publisher Address: Singapore ; River Edge, N.J. :
Publication Dates: 2003.
Literature type: eBook
Language: English
Subjects:
Differential equations, Nonlinear > Congresses.
Nonlinear theories > Congresses.
Solitons > Congresses.
Mathematics > Congresses.
Mathematical physics > Congresses.
Electronic books.
Online Access: http://www.worldscientific.com/worldscibooks/10.1142/5195#t=toc
Summary: The theory of solitons involves a broad variety of mathematical methods and appears in many areas of physics, technology, biology, and pure and applied mathematics. In this book, emphasis is placed on both theory (considering mathematical approaches for classical and quantum nonlinear systems - both continuous and discrete) and experiment (with special discussions on high bit rate optical communications and pulse dynamics in optical materials).
Carrier Form: 1 online resource (xv,421pages) : illustrations (some color)
Bibliography: Includes bibliographical references.
ISBN: 9789812704467 (electronic bk.)
CLC: O411.1-532
Contents: pt. I. Analytical methods. On the IST for discrete nonlinear Schr dinger systems and polarization shift for discrete vector solitons / M.J. Ablowitz, B. Prinari, A.D. Trubatch -- Soliton solutions of coupled nonlinear Klein-Gordon equations / T. Alagesan -- Characteristic initial value problems for integrable hyperbolic reductions of Einstein's equations / G.A. Alekseev -- Discrete sine-Gordon equation / M. Boiti ... [et al.] -- Integrable and non-integrable equations with peakons / A. Degasperis, D.D. Holm, A.N.W. Hone -- Solution of a free boundary problem for a nonlinear diffusion-convection equation / S. De Lillo, M.C. Salvatori, G. Sanchini -- Iterative construction of solutions for a nonisospectral problem in 2 + 1 dimensions / P.G. Estevez -- Discrete breathers close to the anticontinuum limit: existence and wave scattering / S. Flach ... [et al.] -- Complex Toda chain - an integrable universal model for adiabatic N-soliton interactions! / V.S. Gerdjikov -- On the reductions and scattering data for the generalized Zakharov-Shabat systems / G.G. Grahovski -- Bilinear representation for the modified nonlinear Schr dinger equations and their quantum potential deformations / J.H. Lee, O.K. Pashaev -- Noncommutative Burgers' equations / L. Martina, O.K. Pashaev -- On the quasi-classical [sumbol]-dressing method / B. Konopelchenko, A. Moro -- New solvable matrix integrals - U(n) case / A.Yu. Orlov -- Integrable hydrodynamic chains / M.V. Pavlov -- KPII: new results and open problems / A.K. Pogrebkov -- A workmate for KdV / P.C. Sabatier -- Space-time lattice for operator Schr dinger equation / A. Spire, V.V. Konotop, L. Vazquez -- On isomonodromy deformations for the ZS-AKNS flows / D. Wu -- pt. II. Symmetry properties, Hamiltonian methods and group theoretical methods. New symmetry reductions for a lubrication model / M.S. Bruz n ... [et al.] -- Quantum solitons for quantum information and quantum computing / R.K. Bullough, M. Wadati -- Solving renormalization group equations by recursion relations / A. Cafarella, C. Corian , M. Guzzi -- A tri-Hamiltonian route to spectral curves / L. Degiovanni, G. Magnano -- Construction of real forms of complexified Hamiltonian dynamical systems / V.S. Gerdjikov ... [et al.] -- Integrable and super-integrable systems in classical and quantum mechanics / M. Giordano ... [et al.] -- Non-commuting coordinates in vortex dynamics and in the Hall effect, related to "exotic" Galilean symmetry / P.A. Horv thy -- Structure of multi-meron knot action / L.S. Isaev, A.P. Protogenov -- Compatible nonlocal Poisson brackets of hydrodynamic type and integrable reductions of the Lam equations / O.I. Mokhov -- Pseudoanti-Hermiticity in QQM, time-reversal and Kramers degeneracy / G. Scolarici -- On the integrability of supersymmetric equations / P. Tempesta, R.A. Leo, G. Soliani.
pt. III. Algebraic and geometrical methods. Group analysis of the membrane shape equation / G. De Matteis -- Conformal immersions for CMC-surfaces with the same Gauss map / A.M. Grundland, W.J. Zakrzewski -- Deformations of plane algebraic curves and integrable systems of hydrodynamic type / Y. Kodama, B.G. Konopelchenko -- Classical and statistical aspects of rigid surfaces systems / G. Landolfi -- Integrable Heisenberg ferromagnets and soliton geometry of curves and surfaces / L. Martina ... [et al.] -- On the geometry of B cklund transformations / M. Palese, E. Winterroth -- pt. IV. Near integrable systems, perturbativ and numerical methods. Homoclinic orbits in a near-integrable mixed type CNLS system / A. Aigner, V.M. Rothos -- A nonisospectral problem associated with the multidimensional Schr dinger equation / M. Jaworski -- Stretching of vortex filament with corrections / K. Konno, H. Kakuhata -- On the reduction of a nonlinear Schr dinger equation with a periodic potential to a vector lattice / V.V. Konotop ... [et al.] -- Linear and nonlinear waves on a finite interval / B. Pelloni -- Rogue waves in deep water / C.M. Schober -- Nonlinear dynamics of a quasiperiodic Frenkel-Kontorova model / A. Vanossi ... [et al.] -- Ratchet-like motion of AC driven topological solitons / Y. Zolotaryuk, P.L. Christiansen, M. Salerno -- pt. V. Applications in science and technology. Discrete scalar and vector diffraction-managed nonlinear Schr dinger equation / M.J. Ablowitz, Z.H. Musslimani -- Quantum mechanics, path integrals and option pricing: reducing the complexity of finance / B.E. Baaquie, C. Corian , M. Srikant -- Optimal dispersion maps for multichannel soliton transmission with distributed Raman amplification / S. Boscolo, S.K. Turitsyn, K.J. Blow -- Adaptive spectral identification techniques in presence of undetected non linearities / G. Cella, E. Cuoco, G.M. Guidi -- On the characteristic parameters of dispersion-managed optical pulses / S. Chakravarty, G. Biondini -- An influence of impurities on production of kinks / T. Dobrowolski -- A novel approach for determining solitary wave solutions of nonlinear Schr dinger equations / R. Fedele ... [et al.] -- Wigner picture and tomographic representation of envelope solitons / S. De Nicola ... [et al.] -- The process of nonlinear supratransmission / F. Geniet, J. Leon -- Importance sampling for noise-induced amplitude and timing jitter in soliton transmission systems / R.O. Moore, G. Biondini, W.L. Kath -- Reception device based on stochastic resonance -- S. Morfu, J.C. Comte, J.M. Bilbault -- Inhomogeneous reaction diffusion system: theory and experiment / S. Morfu ... [et al.] -- Evolution of singular beam in cubic-quintic nonlinear materials / V. Skarka, N.B. Aleksic, V. Berezhiani -- PIC simulation evidence for ultrarelativistic electron bunches produced by non-linear laser wakefield acceleration / P. Tomassini ... [et al.] -- Long time dynamics of modulated waves in a nonlinear discrete LC transmission line / D. Y m l , P. Marqui , J.M. Bilbault.

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