Published May 2013 | Version v1
Journal article Metadata-only

Integrability of an extended (2+1)-dimensional shallow water wave equation with Bell polynomials

Creators

  • 1. Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062 (China)

Description

We investigate the extended (2+1)-dimensional shallow water wave equation. The binary Bell polynomials are used to construct bilinear equation, bilinear Bäcklund transformation, Lax pair, and Darboux covariant Lax pair for this equation. Moreover, the infinite conservation laws of this equation are found by using its Lax pair. All conserved densities and fluxes are given with explicit recursion formulas. The N-soliton solutions are also presented by means of the Hirota bilinear method. (general)

Availability note (English)

Available from http://dx.doi.org/10.1088/1674-1056/22/5/050509

Additional details

Identifiers

DOI
10.1088/1674-1056/22/5/050509;

Publishing Information

Journal Title
Chinese Physics. B
Journal Volume
22
Journal Issue
5
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
45031999
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
BAECKLUND TRANSFORMATION; CONSERVATION LAWS; DENSITY; MATHEMATICAL SOLUTIONS; ONE-DIMENSIONAL CALCULATIONS; POLYNOMIALS; SOLITONS; TRANSFORMATIONS; TWO-DIMENSIONAL CALCULATIONS; WATER WAVES; WAVE EQUATIONS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; GRAVITY WAVES; PARTIAL DIFFERENTIAL EQUATIONS; PHYSICAL PROPERTIES; QUASI PARTICLES; TRANSFORMATIONS