Abstract
The (3+1)-dimensional Jimbo–Miwa (JM)equation is solved approximately by using the conformal invariantasymptotic expansion approach presented by Ruan. By solving the new(3+1)-dimensional integrable models, which are conformal invariantand possess Painlevé property, the approximate solutions areobtained for the JM equation, containing not only one-solitonsolutions but also periodic solutions and multi-soliton solutions.Some approximate solutions happen to be exact and some approximatesolutions can become exact by choosing relations between the parameters properly.
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