Solitary Wave Collisions

DOI10.1007/978-3-540-89199-4_17zbMath1230.37090OpenAlexW1628388352MaRDI QIDQ3654742

Sergey V. Dmitriev, Dimitrios J. Frantzeskakis

Publication date: 11 January 2010

Published in: Springer Tracts in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-89199-4_17

Mathematics Subject Classification ID

Soliton equations (35Q51) Discrete version of topics in analysis (39A12) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lattice dynamics; integrable lattice equations (37K60)

Cites Work

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• Discrete soliton collisions in a waveguide array with saturable nonlinearity
• A perturbation theory for soliton systems
• Solitary wave collisions revisited
• Soliton dynamics in the discrete nonlinear Schrödinger equation
• Travelling solitary waves in the discrete Schrödinger equation with saturable nonlinearity: Existence, stability and dynamics
• Variational solutions for the discrete nonlinear Schrödinger equation
• Discrete Vector Solitons in Kerr Nonlinear Waveguide Arrays
• Nonlinear differential−difference equations
• Nonlinear differential–difference equations and Fourier analysis
• Inelastic three-soliton collisions in a weakly discrete sine-Gordon system
• Kink-Antikink Collisions in the phi^4 Equation: The n-Bounce Resonance and the Separatrix Map
• Short-lived two-soliton bound states in weakly perturbed nonlinear Schrödinger equation

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