Published July 2012 | Version v1
Journal article

Explicit multi-symplectic method for the Zakharov—Kuznetsov equation

  • 1. Department of Mathematics and Systems Science, College of Science, National University of Defense Technology, Changsha 410073 (China)

Description

We propose an explicit multi-symplectic method to solve the two-dimensional Zakharov—Kuznetsov equation. The method combines the multi-symplectic Fourier pseudospectral method for spatial discretization and the Euler method for temporal discretization. It is verified that the proposed method has corresponding discrete multi-symplectic conservation laws. Numerical simulations indicate that the proposed scheme is characterized by excellent conservation. (general)

Availability note (English)

Available from http://dx.doi.org/10.1088/1674-1056/21/7/070206

Additional details

Publishing Information

Journal Title
Chinese Physics. B
Journal Volume
21
Journal Issue
7
Journal Page Range
[6 p.]
ISSN
1674-1056

INIS

Country of Publication
China
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
45029683
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CALCULATION METHODS; COMPUTERIZED SIMULATION; CONSERVATION LAWS; DIFFERENTIAL EQUATIONS; TWO-DIMENSIONAL CALCULATIONS
Descriptors DEC
EQUATIONS; SIMULATION