Convergence conditions for iterative methods seeking multi-component solitary waves with prescribed quadratic conserved quantities

T.I. Lakoba

Mathematics and Computers in Simulation (MATCOM), 2011, vol. 81, issue 8, 1572-1592

Abstract: We obtain linearized (i.e., non-global) 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 a recent publication by Yang and the present author. We also show that, and why, these convergence conditions coincide with dynamical stability conditions for ground-state solitary waves.

Keywords: Coupled nonlinear wave equations; Solitary waves; Iterative methods; Spinor Bose–Einstein condensates (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:81:y:2011:i:8:p:1572-1592

DOI: 10.1016/j.matcom.2010.11.008

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