http://dx.doi.org/10.1063/1.4788665">
 

Document Type

Journal Article

Department/Unit

Department of Computer Science

Title

Discussion on integrable properties for higher-dimensional variable-coefficient nonlinear partial differential equations

Language

English

Abstract

In this paper we introduce two new higher-dimensional variable-coefficient partial differential equations. One is a (2+1)-dimensional equation which can be reduced to the well-known KP equation which first occurs to the paper B. B. Kadomtsev and V. I. Petviashvili, "On the stability of solitary waves in weakly dispersive media," Sov. Phys. Dokl.15, 539 (1970), whose bilinear representation, Lax pairs, Bëcklund transformations, and infinite conservation laws are obtained respectively by using the Bell polynomials. Another one is a (3+1)-dimensional equation whose integrability is also investigated by us and whose Lax pairs, Bëcklund transformations, and infinite conservation laws are obtained, respectively. © 2013 American Institute of Physics.

Publication Date

2013

Source Publication Title

Journal of Mathematical Physics

Volume

54

Issue

1

Start Page

013516-1

End Page

013516-9

Publisher

American Institute of Physics

ISSN (print)

00222488

ISSN (electronic)

10897658

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