Exact solutions for the mixed AKNS equation:Hirota approach
The mixed AKNS equation,which contains an isospectral term and a nonisospectral term,is an important nonlinear evolution equation in the AKNS system.So searching for its exact solutions is vital both for the AKNS system and in mathematical sense.In this paper,the corresponding Lax pair was given,the bilinear forms of the mixed AKNS equation were obtained through introducing the transformation of dependent variables.By using Hirota's bilinear method,the N-soliton solutions were obtained.
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