Nonlinear Dispersive Wave Systems

Name: Nonlinear Dispersive Wave Systems
Brand: WORLD SCIENTIFIC PUB CO INC
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Hardcover | 1 December 1991

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684 Pages

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This book brings together accounts of major developments in the theory and applications of nonlinear dispersive waves, nonlinear water waves, KdV and nonlinear Schroedinger equations, Davey-Stewartson equation, Benjamin-Ono equation and nonlinear instability phenomena. In order to give the book a wider readership, chapters have been written by internationally known teachers who have made significant contributions to nonlinear waves and nonlinear instability. This volume is aimed at applied mathematicians, physicists, geophysicists, oceanographers, engineering scientists, and those interested in nonlinear dynamics.

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Preface
Resonant Forcing of Nonlinear Dispersive Waves	p. 1
A Residue Representation for Integrable Equations in Multidimensions	p. 13
A Formulation of a Boundary-Initial-Value Problem for the Korteweg-de Vries Equation	p. 23
Shoaling of Wave Groups in Shallow Water	p. 41
A Comparative Stability Study of Stationary Wave Solutions of the Korteweg-de Vries and Benjamin-Ono 2-D Models	p. 57
Phase Shift Modulations for Perturbed Strongly Nonlinear Oscillatory Dispersive Waves	p. 73
On the Zakharov-Schulman Equations	p. 83
Hamiltonian Long-Wave Approximations for Water Waves in a Uniform Channel	p. 99
A Sub-Centre Manifold Description of the Evolution and Interaction of Nonlinear Dispersive Waves	p. 127
Solutions of the Perturbed Korteweg-de Vries Equation	p. 157
Solitons in Inhomogenous Media	p. 181
Wave Packets, Bifurcations, and Chaos	p. 195
The Stability and Evolution of Interfacial Waves	p. 217
Modulational Instability and Soliton Solutions of a Generalized Nonlinear Schrodinger Equation	p. 245
A Remark on the Solitary Wave Stability for a Boussinesq Equation	p. 255
On Weak Oblique Collisions of Solitary Waves	p. 265
Frequency Modulations Between Two Intersecting Waves in Deep Water	p. 299
Collapse in Nonlinear Schrodinger Systems	p. 329
Unique Continuation for Some Dispersive Wave Equations	p. 347
Quasiperiodicity, Chaos, and Damping in Cross-Waves	p. 365
A Superposition Principle for Periodic Solutions of Nonlinear Evolution Equations	p. 383
Soliton Solutions of Modified Korteweg-de Vries Equation in Complex t-Plane	p. 405
Nonlinear Dispersive Waves in Convective Flows	p. 417
Partition Function of Nonlinear Lattice	p. 435
Level 2 Hirota Equations Associated With the Principally Twisted Affine Lie Algebra [actual symbol not reproducible]	p. 445
A Survey of the Mathematical Theory of Modons	p. 461
On the Geometrical Optics for Nonlinear Waves	p. 481
Self-Organization of Nonlinear Waves and Vortices in Driven and Damped Systems	p. 507
Exact (1+1)-Dimensional Solutions to the Multispeed Discrete Boltzmann Models	p. 539
Nonlinear Wave Phenomena in Cardiac Tissue	p. 551
Can the Dynamics of Structural Change Be Treated Theoretically?	p. 575
Waves in Turbulent Media	p. 591
On Particle-Like Solutions for a Nonlinear Complex-Valued Klein-Gordon Equation	p. 611
Large Time Asymptotics of Solutions to Nonlinear Nonlocal Equations With Periodic Boundary Conditions	p. 625
Bifurcations and Chaos in Resonantly Forced Water Waves	p. 635
Index	p. 667
Table of Contents provided by Blackwell. All Rights Reserved.

Nonlinear Dispersive Wave Systems

At a Glance

Hardcover

Shipping

How to return your order

Defective items

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