Integrable Nonlocal PT-Symmetric Modified Korteweg-de Vries Equations Associated with so(3, \({\mathbb{R}}\))

Symmetry

Wen-Xiu Ma¹ 

[1] Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China;

关键词: zero curvature equation;    Liouville integrability;    nonlocal integrable reduction;   

DOI  :  10.3390/sym13112205

来源: DOAJ

【 摘 要 】

We construct integrable PT-symmetric nonlocal reductions for an integrable hierarchy associated with the special orthogonal Lie algebra $\mathrm{so}(3,\mathbb{R})$. The resulting typical nonlocal integrable equations are integrable PT-symmetric nonlocal complex reverse-spacetime and real reverse-spacetime modified Korteweg-de Vries equations associated with $\mathrm{so}(3,\mathbb{R})$.

【 授权许可】

Unknown