AN ALGEBRAIC STRUCTURE OF ZERO CURVATURE REPRESENTATIONS ASSOCIATED WITH COUPLED INTEGRABLE COUPLINGS AND APPLICATIONS TO tau-SYMMETRY ALGEBRAS

作者：Luo Lin^*; Ma Wen Xiu; Fan Engui

来源：International Journal of Modern Physics B, 2011, 25(23-24): 3237-3252.

DOI：10.1142/S0217979211101351

• Zero curvature representation
• coupled integrable couplings
• tau-symmetry algebra

We establish an algebraic structure for zero curvature representations of coupled integrable couplings. The adopted zero curvature representations are associated with Lie algebras possessing two sub-Lie algebras in form of semi-direct sums of Lie algebras. By applying the presented algebraic structures to the AKNS systems, we give an approach for generating tau-symmetry algebras of coupled integrable couplings.

• 出版日期2011-9-30
• 单位上海第二工业大学; 复旦大学