[PDF][PDF] Integrable Zhaidary equations: reductions and gauge equivalence
Z Sagidullayeva, K Yesmakhanova… - arXiv preprint arXiv …, 2022 - researchgate.net
Z Sagidullayeva, K Yesmakhanova, R Myrzakulov, Z Myrzakulova, N Serikbayev…
arXiv preprint arXiv:2205.02073, 2022•researchgate.netThe present work addresses the study and characterization of the integrability of some spin
systems (ISS) in 1+ 1 dimensions. Lax representations for these ISS are successfully
obtained. The gauge equivalent counterparts of these integrable ISS are presented. Finally,
we consider Zhanbota transcendents and some integrable Zhanbota equations. In
particular, the gauge equivalence between some Zhanbota equations and the six Painleve
equations is established.
systems (ISS) in 1+ 1 dimensions. Lax representations for these ISS are successfully
obtained. The gauge equivalent counterparts of these integrable ISS are presented. Finally,
we consider Zhanbota transcendents and some integrable Zhanbota equations. In
particular, the gauge equivalence between some Zhanbota equations and the six Painleve
equations is established.
Abstract
The present work addresses the study and characterization of the integrability of some spin systems (ISS) in 1+ 1 dimensions. Lax representations for these ISS are successfully obtained. The gauge equivalent counterparts of these integrable ISS are presented. Finally, we consider Zhanbota transcendents and some integrable Zhanbota equations. In particular, the gauge equivalence between some Zhanbota equations and the six Painleve equations is established.
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