Advances in nonlinear waves, Volume 1

Front Cover
Pitman Advanced Pub. Program, 1984 - Mathematics - 328 pages
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Contents

From hydrodynamics to plasma theory
1
wave packets
38
A note on the limiting form of shallow water waves
59
On the integrability of conservative multiple threewave
75
An evolution equation for a stratified flow having two
90
Interaction of solitary waves in stratified fluids
108
The Qtheorem for charged solitons
118
Soliton resonance experiments
133
Soliton dynamics in the presence of external forces
197
Riemann spectral method for the nonlinear evolution
210
Recursion relations and a class of isospectral manifolds
226
Backlund transformations and integrable Hamiltonian systems
234
Backlund transformations for the Einstein equation
242
Backlund transformations for the Ernst equation of general
254
Geometric structures in the singularity theory of hyperbolic
273
A hysteretic RC line for solitary pulses
281

Nonlinear wavefunction formulation for compressiblefluid
142
Waves propagating over a slowly varying depth with two
150
The loop soliton
162
The largeamplitude elastodynamics of transversely isotropic
184
Experiment on lattice soliton by means of nonlinear electric
292
INDEX
323
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About the author (1984)

Debnath, Department of Mathematics, University of Central Florida, Orlando.

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