Asymptotic calculation of discrete non-linear wave interactionsMathematics and Computers in Simulation
AbstractWe illustrate how to compute asymptotic interactions between discrete solitary waves of dispersive equations, using the approach proposed by Manton [N.S. Manton, Nucl. Phys. B 150 (1979) 397]. We also discuss the complications arising due to discreteness and showcase the application of the method in non-linear Schrödinger, as well as in Klein-Gordon lattices, finding excellent agreement with direct numerical computations.
Citation InformationPG Kevrekidis. "Asymptotic calculation of discrete non-linear wave interactions" Mathematics and Computers in Simulation Vol. 74 Iss. 4-5 (2007)
Available at: http://works.bepress.com/panos_kevrekidis/17/