标题： 迭代方法求解具有预定二次守恒量的多组分孤立波的收敛条件 显示英文标题

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

摘要： 我们得到了用于寻找多组分哈密顿非线性波方程的二次守恒量给定值的孤立波的迭代方法的局部（即线性化）收敛条件。 这些条件扩展了在[J. Yang 和 T.I. Lakoba, Stud. Appl. Math.{\bf 120}, 265--292 (2008)]中发现的单组分孤立波的条件。 我们还说明了这些收敛条件为何与基态孤立波的动力学稳定性条件一致。 显示英文摘要

摘要： 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.