Nonlinear Evolution Equations & Dynamical Systems Needs '94

by Makhankov, Vladimir G.; Bishop, Alan R.

• ISBN13: 9789810222192
• ISBN10: 981022219X
• Format: Hardcover
• Copyright: 1995-06-01
• Publisher: World Scientific Pub Co Inc

Table of Contents

The Geometry of Weak Solutions of Certain Integrable Nonlinear PDE's	p. 3
Squared Eigenfunction Coordinates and Stationary Flows	p. 9
The (2+1)-Dimensional Eckhaus Equation: Display of Some Solutions	p. 16
On Dispersionless Hirota Type Equations	p. 24
Stationary Reductions of Nonlinear Evolution Equations: Hamiltonian Structures and Canonical Transformations	p. 34
Why are there so many Integrable Evolution Equations of Third Order?	p. 42
Integrable Trilinear PDE's	p. 54
Nonlinear Difference Approximations for Evolutionary PDE's	p. 64
Exact Solutions for the Discrete Painleve Equations	p. 76
Dynamics of Complex Singularities for Burgers' Equation	p. 86
Noncommutative Integrable Systems	p. 94
A Direct Bilinearization Scheme Based on the Use of Partition Polynomials	p. 102
The List of Canonical Discrete Symmetries of Integrable Systems	p. 112
Some New Integrable Systems with Exact Solutions of the Pattern-Soliton Type	p. 129
Virasoro Constraints and String Equations for the Jacobian Super KP Hierarchy	p. 143
Multi-Dimensional Davey-Stewartson Systems and Linear Flows. Explicit Solutions	p. 150
Macroscopic Behavior in the Ablowitz-Ladik Equations	p. 158
Darboux Transformations from Reductions of the KP Hierarchy	p. 168
Inertial Manifolds and the Strong Squeezing Property	p. 178
D-Bar Method for Finite-Zone Reflective KdV Potentials	p. 188
Elements of Critical Points Theory for (3+1)-Dimensional Topological Solitons: Structure of Torons in the Faddeev Model	p. 197
On Algebra of Direct Linearization	p. 208
Control of Coherence by Varying Nonlinearity	p. 216
Multi-Phase Periodic Solutions of KdV-Type Functional Equations	p. 222
The Use of Generalized Coherent States in the Study of Spin Systems	p. 233
The Interaction of Localized Solutions in a Surface Reaction	p. 251
Nonlinear Amplification of Solitons in High Dispersion Fiber Transmission Systems	p. 259
Morphology of Laplacian Growth Processes and Statistics of Equivalent Many-Body Systems	p. 266
Symplectic Computation of Lyapunov Exponents	p. 283
Closed-Form Expressions for the Noncompact Part of Sp(2n)	p. 295
[actual symbol not reproducible] Kinks: Statistical Mechanics	p. 298
Statistical Mechanics of Nonlinear Coherent Structures: Kinks in the [actual symbol not reproducible] Model	p. 310
Numerically Induced Soliton Perturbations	p. 323
Soliton Phenomena in Periodic Systems	p. 333
One Center Expansion in Quantum Mechanics of Molecules	p. 343
Conformational Effects in Acetyl Methoxyphenols	p. 349
Perturbation Theory as Dynamical Theory	p. 356
Time-Advance Algorithms Based on Hamilton's Principle	p. 365
Generalization of Giacomini's Results Concerning Invariants for One-Dimensional Time-Dependent Potentials	p. 380
List of Participants	p. 389
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