Compactons in PT-symmetric generalized Korteweg-de Vries Equations
Mathematical Physics
2015-05-13 v1 High Energy Physics - Theory
math.MP
Abstract
In an earlier paper Cooper, Shepard, and Sodano introduced a generalized KdV equation that can exhibit the kinds of compacton solitary waves that were first seen in equations studied by Rosenau and Hyman. This paper considers the PT-symmetric extensions of the equations examined by Cooper, Shepard, and Sodano. From the scaling properties of the PT-symmetric equations a general theorem relating the energy, momentum, and velocity of any solitary-wave solution of the generalized KdV equation is derived, and it is shown that the velocity of the solitons is determined by their amplitude, width, and momentum.
Keywords
Cite
@article{arxiv.0810.3460,
title = {Compactons in PT-symmetric generalized Korteweg-de Vries Equations},
author = {Carl M. Bender and Fred Cooper and Avinash Khare and Bogdan Mihaila and Avadh Saxena},
journal= {arXiv preprint arXiv:0810.3460},
year = {2015}
}
Comments
12 pages, 5 figures