| The main contents of this thesis is studying the Darboux transformation of a nonlinear Schrodinger type equation and its exact solutions.According to the known Lax pairs,the nonlinear evolution equation can be derived w-ith the help of compatibility condition.Then the Darboux transformation of this equation can be constructed based on the gauge transformation matrix T.Finally,after the "seed solution" is chosen,exact solutions of the nonlinear schr6dinger type equation can be obtained. |
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