On the classification of fifth-order integrable systems
Daryoush Talati
TL;DR
This paper classifies fifth-order integrable systems with seventh-order symmetry, identifying two new systems and constructing their bi-Hamiltonian formulations, advancing understanding of high-order integrable systems.
Contribution
It introduces a classification of fifth-order integrable systems with specific symmetry properties and presents two novel integrable systems with bi-Hamiltonian structures.
Findings
Identified 2 new integrable systems
Constructed bi-Hamiltonian formulations for these systems
Classified fifth-order integrable systems with seventh-order symmetry
Abstract
In this work we classify the fifth-order integrable symmetrically coup led systems of weight 0 that possess seventh-order symmetry. we obtained 2 new integrable systems that related bi-Hamiltonian formulations are constructed too.
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Taxonomy
TopicsNonlinear Waves and Solitons · Nonlinear Photonic Systems · Molecular spectroscopy and chirality