Author:
Chen Shou-Ting,Ma Wen-Xiu
Abstract
Abstract
Based on a soliton hierarchy associated with
so
(
3
,
R
)
, we construct two integrable nonlocal PT-symmetric generalized mKdV equations. The key step is to formulate two nonlocal reverse-spacetime similarity transformations for the involved spectral matrix, and therefore, integrable nonlocal complex and real reverse-spacetime generalized
so
(
3
,
R
)
-mKdV equations of fifth-order are presented. The resulting reduced nonlocal integrable equations inherit infinitely many commuting symmetries and conservation laws.
Subject
Physics and Astronomy (miscellaneous)
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