LINEAR SUPERPOSITION IN NONLINEAR WAVE DYNAMICS

DOI10.1142/S0129055X06002851zbMath1120.82010arXivmath/0509359MaRDI QIDQ3422246

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Publication date: 9 February 2007

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509359

zbMATH Keywords

nonlinear wavesnonlinear Schrödinger equationsolitonssine-Gordon equationimplicit function theoremsdispersive medianonlinear hyperbolic partial differential equationsFermi-Pasta-Ulam systemnonlinear oscillator systems

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) KdV equations (Korteweg-de Vries equations) (35Q53) First-order nonlinear hyperbolic equations (35L60) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Soliton equations (35Q51) Discrete version of topics in analysis (39A12) Lattice dynamics; integrable lattice equations (37K60) Implicit function theorems; global Newton methods on manifolds (58C15) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

Related Items (9)

Interchanging space and time in nonlinear optics modeling and dispersion management models ⋮ Nonlinear Dynamics of a System of Particle-Like Wavepackets ⋮ Detection of standing pulses in periodic media by pulse interaction ⋮ Wavepacket preservation under nonlinear evolution ⋮ Interaction of modulated pulses in nonlinear oscillator chains ⋮ Separation of internal and interaction dynamics for NLS-described wave packets with different carrier waves ⋮ Wave-corpuscle mechanics for electric charges ⋮ Interaction of modulated pulses in scalar multidimensional nonlinear lattices ⋮ Interaction of oscillatory packets of water waves

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