Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2009-11-01

Journal: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION

Included Journals: Scopus、SCIE、EI

Volume: 14

Issue: 11

Page Number: 3798-3803

ISSN: 1007-5704

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

Abstract: 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.