Published June 25, 2007 | Version v1
Journal article

Darboux transformation and explicit solutions for some (2+1)-dimensional equations

  • 1. Department of Mathematics, Luoyang Normal University, Luoyang 471022 (China) and Department of Mathematics, Zhengzhou University, Zhengzhou 450052 (China)
  • 2. Department of Mathematics, Dalian University of Technology, Dalian 116024 (China)
  • 3. Department of Mathematics, Luoyang Normal University, Luoyang 471022 (China)
  • 4. Department of Mathematics, Zhengzhou University, Zhengzhou 450052 (China)

Description

Three systems of (2+1)-dimensional soliton equations and their decompositions into the (1+1)-dimensional soliton equations are proposed. These equations include KPI, CKP, MKPI. With the help of Darboux transformation of (1+1)-dimensional equations, we get the explicit solutions of the (2+1)-dimensional equations

Additional details

Identifiers

DOI
10.1016/j.physleta.2007.02.043;
PII
S0375-9601(07)00230-7;

Publishing Information

Journal Title
Physics Letters. A
Journal Volume
366
Journal Issue
3
Journal Page Range
p. 230-240
ISSN
0375-9601
CODEN
PYLAAG

INIS

Country of Publication
Netherlands
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
39014106
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
KORTEWEG-DE VRIES EQUATION; MATHEMATICAL SOLUTIONS; SOLITONS; THREE-DIMENSIONAL CALCULATIONS; TRANSFORMATIONS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; QUASI PARTICLES

Optional Information

Copyright
Copyright (c) 2007 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.