Nonlocal reduced integrable mKdV-type equations from a vector integrable hierarchy

Autor: Shou-Ting Chen, Wen-Xiu Ma
Rok vydání: 2023
Předmět:
Zdroj: Modern Physics Letters B. 37
ISSN: 1793-6640
0217-9849
DOI: 10.1142/s0217984923500458
Popis: This paper aims to present two hierarchies of nonlocal reduced integrable mKdV-type equations from a vector integrable hierarchy associated with a matrix Lie algebra, not being A type. The key point is to make similarity transformations for the spectral matrix, which keep the associated zero curvature equations invariant and then there follow reduced nonlocal integrable mKdV-type equations. The success lies in determining a Laurent series solution to the corresponding reduced stationary zero curvature equation, which generates temporal matrix spectral problems in the zero curvature formation.
Databáze: OpenAIRE