Abstract
AbstractA conformal invariant asymptotic expansion approach is used to solve the (3+1)‐dimensional non‐linear Schrödinger (NLS) equation. Some new (3+1)‐dimensional integrable models under the condition that they are conformal invariant and possess Painlevé property are obtained. These Painlevé integrable models can be used to solve the (3+1)‐dimensional NLS equation approximately. In some special cases, the approximate solutions become exact. Copyright © 2002 John Wiley & Sons, Ltd.
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