Multidimensional localized solitons

被引：26

作者：

Boiti, M ^{[1
]}

Martina, L ^{[1
]}

Pempinelli, F ^{[1
]}

机构：

[1] IST NAZL FIS NUCL, I-73100 LECCE, ITALY

来源：

CHAOS SOLITONS & FRACTALS | 1995年 / 5卷 / 12期

关键词：

D O I：

10.1016/0960-0779(94)E0106-Y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Recently it has been discovered that some nonlinear evolution equations in 2+1 dimensions, which are integrable by the use of the Spectral Transform, admit localized (in the space) soliton solutions. This article briefly reviews some of the main results obtained in the last 5 years thanks to the renewed interest in soliton theory due to this discovery. The theoretical tools needed to understand the unexpected richness of behaviour of multidimensional localized solitons during their mutual scattering are furnished. Analogies and especially discrepancies with the unidimensional case are stressed.

引用

页码：2377 / 2417

页数：41