科研之友
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摘要
A conformal-invariant asymptotic expansion approach to solve any nonlinear integrable and nonintegrable models with any dimensions is proposed. Taking the compound KdV-Burgers (cKdVB) equation and the KdV-Burgers (KdVB) equation as concrete examples, we obtain many new conformal-invariant models with Painleve property and the approximate solutions of the cKdVB and KdVB equations. In some special cases, the approximate solutions become exact.
