PT-symmetric deformations of the Korteweg-de Vries equation
Fring, A. (2007). PT-symmetric deformations of the Korteweg-de Vries equation. Journal of Physics A: Mathematical and Theoretical, 40(15), pp. 4215-4224. doi: 10.1088/1751-8113/40/15/012
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.
| Publication Type: | Article |
|---|---|
| Publisher Keywords: | DE VRIES EQUATION, KDV EQUATION, DEVRIES EQUATION, SOLITONS, SYSTEM |
| Subjects: | Q Science > QC Physics |
| Departments: | School of Science & Technology > Department of Mathematics |
| SWORD Depositor: |
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Official URL: https://doi.org/10.1088/1751-8113/40/15/012
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