Compactons versus Solitons
High Energy Physics - Theory
2011-04-07 v1 Exactly Solvable and Integrable Systems
Abstract
We investigate whether the recently proposed PT-symmetric extensions of generalized Korteweg-de Vries equations admit genuine soliton solutions besides compacton solitary waves. For models which admit stable compactons having a width which is independent of their amplitude and those which possess unstable compacton solutions the Painleve test fails, such that no soliton solutions can be found. The Painleve test is passed for models allowing for compacton solutions whose width is determined by their amplitude. Consequently these models admit soliton solutions in addition to compactons and are integrable.
Keywords
Cite
@article{arxiv.0901.1267,
title = {Compactons versus Solitons},
author = {Paulo E. G. Assis and Andreas Fring},
journal= {arXiv preprint arXiv:0901.1267},
year = {2011}
}
Comments
4 pages