Inversion of the linearized Korteweg-deVries equation at the multi-soliton solutions
solv-int
2018-08-29 v1 Exactly Solvable and Integrable Systems
Abstract
Uniform estimates for the decay structure of the -soliton solution of the Korteweg-deVries equation are obtained. The KdV equation, linearized at the -soliton solution is investigated in a class consisting of sums of travelling waves plus an exponentially decaying residual term. An analog of the kernel of the time-independent equation is proposed, leading to solvability conditions on the inhomogeneous term. Estimates on the inversion of the linearized KdV equation at the -soliton are obtained.
Cite
@article{arxiv.solv-int/9808014,
title = {Inversion of the linearized Korteweg-deVries equation at the multi-soliton solutions},
author = {M. Haragus-Courcelle and D. H. Sattinger},
journal= {arXiv preprint arXiv:solv-int/9808014},
year = {2018}
}
Comments
39 pages, 1 figure