Abstract
The paper aims to construct nonlocal PT-symmetric integrable equations of fourth-order, from nonlocal integrable reductions of a fourth-order integrable system associated with the Lie algebra so(3,R). The nonlocalities involved are reverse-space, reverse-time, and reverse-spacetime. All of the resulting nonlocal integrable equations possess infinitely many symmetries and conservation laws.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference28 articles.
1. Integrals of nonlinear equations of evolution and solitary waves;Lax;Comm. Pure Appl. Math.,1968
2. Solitons, Nonlinear Evolution Equations and Inverse Scattering;Ablowitz,1991
3. Theory of Solitons, The Inverse Scattering Method;Novikov,1984
4. On Liouville integrability of zero-curvature equations and the Yang hierarchy;Tu;J. Phys. A Math. Gen.,1989
5. A new hierarchy of Liouville integrable generalized Hamiltonian equations and its reduction;Ma;Chin. Ann. Math. A,1992
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献