Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 51, Issue 27, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8121/aac5ff
Keywords
solitons; nonlinear Schrodinger equation; supersymmetry; nonlinear evolution equations
Categories
Funding
- German Max Planck Society
- MPG
- Scottish SUPA Universities
- EPSRC CM-CDT [EP/L015110/1]
- EPSRC [EP/L015110/1] Funding Source: UKRI
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The factorisation method commonly used in linear supersymmetric quantum mechanics is extended, such that it can be applied to nonlinear quantum mechanical systems. The new method is distinguishable from the linear formalism, as the superpotential is forced to become eigenfunction-dependent. Example solutions are given for the nonlinear Schrodinger equation and its supersymmetric partner equation. This method allows new nonlinear evolution equations to be constructed from the solutions of known nonlinear equations, and has the potential to be a useful tool for mathematicians and physicists working in the field of nonlinear systems, allowing the discovery of previously unknown 'dualities' amongst nonlinear evolution equations.
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