Interaction of modulated pulses in nonlinear oscillator chains

DOI10.1080/10236190902919293zbMath1228.34026OpenAlexW2026401031MaRDI QIDQ2997143

Hannes Uecker, Michael Wand, Guido Schneider

Publication date: 6 May 2011

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190902919293

zbMATH Keywords

nonlinear Schrödinger equationnonlinear oscillator chainspulse interaction

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) NLS equations (nonlinear Schrödinger equations) (35Q55) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Ordinary lattice differential equations (34A33)

Related Items (2)

Detection of standing pulses in periodic media by pulse interaction ⋮ Interaction of oscillatory packets of water waves

Cites Work

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• On the impact of FPU lattice discreteness upon solitary wave interactions
• Separation of internal and interaction dynamics for NLS-described wave packets with different carrier waves
• Justification of modulation equations for hyperbolic systems via normal forms
• Dispersive evolution of pulses in oscillator chains with general interaction potentials
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• LINEAR SUPERPOSITION IN NONLINEAR WAVE DYNAMICS
• The nonlinear Schrödinger equation as a macroscopic limit for an oscillator chain with cubic nonlinearities
• On the interaction of NLS‐described modulating pulses with different carrier waves

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