Nonlinear waves and solitons in physical systems
type: Item
instance of: scholarly article
title: Nonlinear waves and solitons in physical systems
zbMATH Open document ID: 0939.35159
DOI: 10.1016/S0167-2789(98)00108-0
author: Roberto Camassa
author: Benjamin P. Luce
author: J. M. Hyman
published in: Physica D
publication date: 1999-12-06T00:00:00Z
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 35-02
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 76B15
zbMATH DE Number: 1374370
zbMATH Keywords: KdV
zbMATH Keywords: NLS
zbMATH Keywords: nonlinear wave propagation
zbMATH Keywords: fiber-optic communication systems
zbMATH Keywords: fluid dynamics
MaRDI profile type: Publication
cites work: A Nonlinear Difference Scheme and Inverse Scattering
cites work: Coherent states and nonlinear dynamics of the three state quasi-spin model with soliton solutions
cites work: Geometric phases, reduction and Lie-Poisson structure for the resonant three-wave interaction.
cites work: Internal waves of permanent form in fluids of great depth
cites work: Model equations for long waves in nonlinear dispersive systems
cites work: Patterns, defects and integrability
cites work: A preliminary study of solitary wave propagation in a disordered medium
cites work: Q5518219
cites work: Attractors representing turbulent flows
cites work: The KP equation with quasiperiodic initial data
cites work: Attractor dimension estimates for two-dimensional shear flows
cites work: Q4124398
cites work: The role of microstructure in taming the Rayleigh capillary instability of cylindrical jets
cites work: Method for Solving the Korteweg-deVries Equation
cites work: Nonlinear waves in two-fluid flows
cites work: Computation of conservation laws for nonlinear lattices
cites work: Statistical mechanics of double sinh-Gordon kinks
cites work: Order parameter equations for front transitions: Nonuniformly curved fronts
cites work: Q4327356
cites work: Power-law singularities in gravity-capillary waves
cites work: Pulsating multiplet solutions of quintic wave equations
cites work: Rapidly rotating turbulent Rayleigh-Bénard convection
cites work: Q5621188
cites work: A perturbational approach to the two-soliton systems
cites work: A Perturbation Expansion for the Zakharov–Shabat Inverse Scattering Transform
cites work: A Green’s function for a linear equation associated with solitons
cites work: Nonlinear pulse propagation in dispersion managed system
cites work: Perturbations of Solitons and Solitary Waves
cites work: An investigation of internal solitary waves in a two-fluid system
cites work: Superlattice patterns in surface waves
cites work: Patterns on liquid surfaces: Cnoidal waves, compactons and scaling
cites work: Dressed solitary waves in an elastic tube
cites work: Long wave interaction over varying topography
cites work: Modal expansions and completeness relations for some time-dependent Schrödinger equations
cites work: \(\pi\)-kinks in the parametrically driven sine-Gordon equation and applications
cites work: Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
cites work: Modulational instability in bulk dispersive quadratically nonlinear media
cites work: Q3679549
cites work: Solitons, cnoidal waves and nonlinear interactions in shallow-water ocean surface waves
cites work: Simple theories of complex lattices
cites work: Hyperelliptic quasi-periodic and soliton solutions of the nonlinear Schrödinger equation
cites work: On a class of nonlinear dispersive-dissipative interactions
cites work: Soliton dynamics in directional couplers
cites work: Vortex structure in rotating Rayleigh-Bénard convection
cites work: Nonlinear waves and solitons in water
cites work: Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
full work available at URL: s0167-2789(98)00108-0
OpenAlex ID: W2027877464
description: scientific article; zbMATH DE number 1374370