科研之友
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摘要
In this paper, a new method to solve space-time-dependent non-linear equations is proposed. After considering the variable coefficient of a non-linear equation as a new dependent variable, some special types of space-time-dependent equations can be solved from corresponding space-time-independent equations by using the general classical Lie approach. The rich soliton solutions of space-time-dependent KdV equation and mKdV equation are given with the help of the approach.
