Prolongation Structure of Semi-discrete  Nonlinear Evolution Equations

BAI Yong-Qiang; WU Ke; GUO Han-Ying; ZHAO Wei-Zhong

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Communications in Theoretical Physics ›› 2007, Vol. 48 ›› Issue (04) : 591-600.

Prolongation Structure of Semi-discrete Nonlinear Evolution Equations

BAI Yong-Qiang,
WU Ke,
GUO Han-Ying,
ZHAO Wei-Zhong

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Abstract

Based on noncommutative differential calculus, we present a theory of prolongation structure for semi-discrete nonlinear evolution equations. As an illustrative example, a semi-discrete model of the nonlinear Schrödinger equation is discussed in terms of this theory and the corresponding Lax pairs are also given.

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noncommutative differential calculus / prolongation structure / Lax pair

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BAI Yong-Qiang, WU Ke, GUO Han-Ying, et al. Prolongation Structure of Semi-discrete Nonlinear Evolution Equations[J]. Communications in Theoretical Physics, 2007, 48(04): 591-600