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论文类型：期刊论文

发表时间：2009-11-01

发表刊物：COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION

收录刊物：EI、SCIE、Scopus

卷号：14

期号：11

页面范围：3798-3803

ISSN号：1007-5704

关键字：The second Painleve equation; Rational solution; Backlund transformation; (2+1)-Dimensional nonlinear evolution equations

摘要：Using the idea of transformation, some links between (2 + 1)-dimensional nonlinear evolution equations and the ordinary differential equations Painleve-II equations has been illustrated. The Kadomtsev-Petviashvili (KP) equation, generalized (2 + 1)-dimensional break soliton equation and (2 + 1)-dimensional Boussinesq equation are researched. As a result, some new interesting results about these (2 + 1)-dimensional PDEs have been obtained, such as the exact solutions with arbitrary functions, rich rational solutions and the nontrivial Bicklund transformations have been derived. (C) 2009 Elsevier B.V. All rights reserved.