PT-symmetric Deformations of the Korteweg-de Vries Equation
Mathematical Physics
2008-11-26 v1 High Energy Physics - Theory
math.MP
Quantum Physics
Abstract
We propose a new family of complex PT-symmetric extensions of the Korteweg-de Vries equation. The deformed equations can be associated to a sequence of non-Hermitian Hamiltonians. The first charges related to the conservation of mass, momentum and energy are constructed. We investigate solitary wave solutions of the equation of motion for various boundary conditions.
Keywords
Cite
@article{arxiv.math-ph/0701036,
title = {PT-symmetric Deformations of the Korteweg-de Vries Equation},
author = {Andreas Fring},
journal= {arXiv preprint arXiv:math-ph/0701036},
year = {2008}
}
Comments
11 pages, 3 figures