Abstract
on the basis of the generalized Zakharov-Shabat spectral problem [2]. The AKNS equations can be reduced to some well-known nonlinear evolution equations such as the nonlinear Schrodinger equation, the sine-Gordon equation, the KdV equation and the mKdV equation, which have many applications in physics and other nonlinear sciences. Various methods have been developed for obtaining explicit solutions of the AKNS equations [3-8]. It has been shown that the AKNS equations are completely integrable. The researches about AKNS equations are in progress up to now [9-11]. In this paper, we will present a nonlinear evolution equation on the basis of the AKNS equations.
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