Asymptotic calculation of discrete non-linear wave interactions

DOI10.1016/j.matcom.2006.10.027zbMath1116.65102arXivnlin/0508003OpenAlexW2009440147MaRDI QIDQ875345

I. Bena, A. R. Bishop, Avinash Khare, Avadh Saxena, Panayotis G. Kevrekidis

Publication date: 13 April 2007

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0508003

zbMATH Keywords

numerical examplesnonlinear Schrödinger equationAblowitz-Ladik modelKlein-Gordon latticesnon-linear wave interactions

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Computational methods for problems pertaining to quantum theory (81-08)

Related Items (2)

Collision of \(\phi^4\) kinks free of the Peierls-Nabarro barrier in the regime of strong discreteness ⋮ The One-Dimensional Case

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• Continuum limit of lattice approximation schemes
• Stability of multiple-pulse solutions

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