PT-symmetric Deformations of the Korteweg-de Vries Equation

Details PT-symmetric Deformations of the Korteweg-de Vries Equation PT-symmetric Deformations of the Korteweg-de Vries Equation

2007-01-11

arxiv.org/abs/math-ph/0701036v1

J.Phys.A40:4215-4224,2007

Physics

Mathematical Physics

11 pages, 3 figures

Scientific paper

10.1088/1751-8113/40/15/012

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.

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