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论文类型：期刊论文

发表时间：2009-05-15

发表刊物：APPLIED MATHEMATICS AND COMPUTATION

收录刊物：SCIE、EI

卷号：211

期号：2

页面范围：347-353

ISSN号：0096-3003

关键字：Symmetry reduction; Lie algebra; Jimbo-Miwa equation; Soliton solution

摘要：The symmetry of the (3 + 1)-dimensional partial differential equation has been derived via a direct symmetry method and proved to be in finite dimensional non-Virasoro type symmetry algebra. Many kinds of symmetry reductions have been obtained, including the (2 + 1)-dimensional ANNV equation and breaking soliton equation. And some new soliton solutions and complex solutions are obtained due to the Riccati equation method and symbolic computation. Crown Copyright (c) 2009 Published by Elsevier Inc. All rights reserved.