论文标题

可集成的zhaidary方程:减少和量规等价

Integrable Zhaidary equations: reductions and gauge equivalence

论文作者

Sagidullayeva, Zh., Yesmakhanova, K., Myrzakulov, R., Myrzakulova, Zh., Serikbayev, N., Nugmanova, G., Sergazina, A., Yerzhanov, K.

论文摘要

目前的工作涉及1+1维中某些广义自旋系统(ISS)的整合性的研究和表征。这些ISS的LAX表示已成功获得。提出了这些集成ISS的量规等效物。最后,我们考虑Zhanbota超越者和一些可集成的Zhanbota方程。特别是,建立了一些Zhanbota方程与六个Painleve方程之间的量规等值。

The present work addresses the study and characterization of the integrability of some generalized 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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