Integrable nonlocal PT-symmetric generalized so(3,R) -mKdV equations

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 comple...

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Bibliographic Details
Published in:Communications in theoretical physics 2023-12, Vol.75 (12), p.125003
Main Authors: Chen, Shou-Ting, Ma, Wen-Xiu
Format: Article
Language:English
Subjects:
integrable equation
lax pair
nonlocal reduction
PT-symmetry
zero curvature equation
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Summary: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.
ISSN:0253-6102
1572-9494
DOI:10.1088/1572-9494/acfd13