Generalised sasa-satsuma equation: Densities approach to new infinite hierarchy of integrable evolution equations
Date
2018-10-16
Authors
Ankiewicz, Adrian
Bandelow, U.
Akhmediev, Nail
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Verlag der Zeitschrift fur Naturforschung
Abstract
We derive the new infinite Sasa–Satsuma hierarchy of evolution equations using an invariant densities approach. Being significantly simpler than the Lax-pair technique, this approach does not involve ponderous 3 × 3 matrices. Moreover, it allows us to explicitly obtain operators of many orders involved in the time evolution of the Sasa–Satsuma hierarchy functionals. All these operators are parts of a generalised Sasa–Satsuma equation of infinitely high order. They enter this equation with independent arbitrary real coefficients that govern the evolution pattern of this multiparameter dynamical system.
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Keywords
Evolution Equations, Integrable System, Sasa–Satsuma
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Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
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Journal article
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Open Access
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