Nonlinear Processes in Physics

1. Front Matter

   Pages I-XV

   PDF

2. Nonlinear Equations

   1. Front Matter

      Pages 1-1

      PDF

   2. Multisoliton-like Solutions of Wave Propagation in Periodic Nonlinear Structures

      • A. B. Aceves, S. Wabnitz

      Pages 3-5

   3. Complex Deformation of Integrable Hamiltonians over Generalized Jacobi Varieties

      • S. J. Alber

      Pages 6-20

   4. Collective Coordinates by a Variational Approach: Problems for Sine Gordon and Φ ⁴ Models

      • J. G. Caputo, N. Flytzanis

      Pages 21-24

   5. Spatiotemporal Chaos in the Nonlinear Three Wave Interaction

      • C. C. Chow, A. Bers, A. K. Ram

      Pages 25-28

   6. On the Instability of the Static Soliton-like “Bubbles”

      • A. de Bouard

      Pages 29-31

   7. Symplectic and Hamiltonian Structures of Nonlinear Evolution Equations

      • I. Ya. Dorfman

      Pages 32-34

   8. A Fuchs Extension to the Painlevé Test

      • R. Conte, A. P. Fordy, A. Pickering

      Pages 35-44

   9. Modulation Equations for Nearly Integrable PDEs with Periodic Boundary Conditions

      • M. G. Forest

      Pages 45-46

   10. Spectrum of Domain Wall Excitations in YIG

       • A. V. Mikhailov, I. A. Shimokhin

       Pages 47-52

   11. Interaction of Defects in Nonlinear Dissipative Fields

       • L. M. Pismen, J. Rubinstein, A. A. Nepomnyashchy, J. D. Rodriguez

       Pages 53-59

   12. On the Analytic Degenerate Dispersion Laws

       • E. I. Schulman, D. D. Tskhakaya

       Pages 60-63

3. Inverse Scattering Transforms

   1. Front Matter

      Pages 65-65

      PDF

   2. Breaking Solitons. Systems of Hydrodynamic Type

      • O. I. Bogoyavlenskij

      Pages 67-76

   3. Real and Virtual Multidimensional Solitons

      • M. Boiti, L. Martina, O. K. Pashaev, F. Pempinelli

      Pages 77-81

   4. Resolvent Approach for the Nonstationary Schrödinger Equation with Line-Type Potential

      • M. Boiti, F. Pempinelli, A. K. Pogrebkov, M. C. Polivanov

      Pages 82-86

   5. Lattice Construction of Quantum Integrable Systems

      • D. A. Coker

      Pages 87-90

   6. Combining Dressing and Nonlocality

      • A. Degasperis

      Pages 91-95

   7. Initial Boundary-Value Problems for Soliton Equations

      • A. S. Fokas

      Pages 96-101

In 1979, a historical meeting took place at the Institute for Theoretical Physics in Kiev, USSR, where 48 American Scientists, specialists in nonlinear and turbulent processes, met for two weeks with their soviet counterparts. This meeting pro­ vided the unique opportunity for USA and USSR participants to directly interact personally and scientifically with each other. This interaction was of great impor­ not only for the individuals involved but also for the science of nonlinear tance phenomena in general. At the end of the meeting, it was agreed that this exchange should continue, and it was decided to have the next meeting in the USA in 1981. Unfortunately, due to the political situation at that time, the second meeting in the USA never materialized. However, in 1983, the Soviet scientists organized in Kiev a second Workshop. This second meeting was again quite successful. Similar meetings, with growing success were organized at Kiev in 1987, and 1989. It should be noted that 405 participants from 22 countries participated at the fourth Kiev workshop on Nonlinear and Turbulent Processes. The Chainnan of this workshop was V. Zakharov, who has also been a co-chainnan of all the previous workshops.

• Eigenvalue
• Koordinatentransformation
• Nichtlineare Dynamik
• Nichtlineare Optik
• Solitonen
• integrable system
• integral
• nonlinear dynamics
• nonlinear optics
• operator
• operator algebra
• plasma physics
• schrödinger equation
• stability
• turbulence

• Clarkson University, Potsdam, USA

  A. S. Fokas, D. J. Kaup

• University of Arizona, Tucson, USA

  A. C. Newell, V. E. Zakharov

• Landau Institute for Theoretical Physics, Moscow, Russia

  V. E. Zakharov

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