Published July 1, 2015 | Version v1
Journal article Metadata-only

Groups Analysis and Localized Solutions of the (2+1)-Dimensional Ito Equation

Creators

  • 1. Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023 (China)
  • 2. Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062 (China)

Description

By means of the modified Clarkson and Kruskal (CK) direct method and the variable separation approach, we investigate the (2+1)-dimensional Ito equation which was constructed by Ito in 1980. The full symmetry group with the Kac–Moody–Virasoro algebra structure and the variable separation solutions are obtained. By selecting appropriate arbitrary functions, some special soliton excitations are shown graphically. The results presented here would be beneficial for understanding the (2+1)-dimensional Ito equation better. (paper)

Availability note (English)

Available from http://dx.doi.org/10.1088/0256-307X/32/7/070201

Additional details

Identifiers

DOI
10.1088/0256-307X/32/7/070201;

Publishing Information

Journal Title
Chinese Physics Letters
Journal Volume
32
Journal Issue
7
Journal Page Range
[4 p.]
ISSN
0256-307X
CODEN
CPLEEU

INIS

Country of Publication
China
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
48022608
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ALGEBRA; EQUATIONS; EXCITATION; FUNCTIONS; MATHEMATICAL SOLUTIONS; SOLITONS; STOCHASTIC PROCESSES; SYMMETRY GROUPS
Descriptors DEC
ENERGY-LEVEL TRANSITIONS; MATHEMATICS; QUASI PARTICLES