Deformations of bihamiltonian structures of hydrodynamic type
可精确求解与可积系统
2009-11-07 v1 微分几何
斑图形成与孤子
摘要
In this paper we study the deformations of bihamiltonian PDEs of hydrodynamic type with one dependent variable. The reason we study such deformations is that the deformed systems maintain an infinite number of commuting integrals of motion up to a certain order in the deformation parameter. This fact suggests that these systems could have, at least for small times, multi-solitons solutions. Our numerical experiments confirm this hypothesis.
引用
@article{arxiv.nlin/0108015,
title = {Deformations of bihamiltonian structures of hydrodynamic type},
author = {Paolo Lorenzoni},
journal= {arXiv preprint arXiv:nlin/0108015},
year = {2009}
}
备注
48 pages, 2 figures