Convergence conditions for iterative methods seeking multi-component solitary waves with prescribed quadratic conserved quantities
Pattern Formation and Solitons
2009-09-28 v1
Abstract
We obtain local (i.e., linearized) convergence conditions for iterative methods that seek solitary waves with prescribed values of quadratic conserved quantities of multi-component Hamiltonian nonlinear wave equations. These conditions extend the ones found for single-component solitary waves in [J. Yang and T.I. Lakoba, Stud. Appl. Math. {\bf 120}, 265--292 (2008)]. We also show that, and why, these convergence conditions coincide with dynamical stability conditions for ground-state solitary waves.
Cite
@article{arxiv.0909.4752,
title = {Convergence conditions for iterative methods seeking multi-component solitary waves with prescribed quadratic conserved quantities},
author = {T. I. Lakoba},
journal= {arXiv preprint arXiv:0909.4752},
year = {2009}
}
Comments
20 pages, 1 multi-part figure