Published May 2008 | Version v1
Journal article Metadata-only

Painlevé Property and New Analytic Solutions for a Variable-Coefficient Kadomtsev–Petviashvili Equation with Symbolic Computation

Creators

  • 1. Department of Mathematics and LMIB, Beijing University of Aeronautics and Astronautics, Beijing 100083 (China)
  • 2. Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, Beijing 100083 (China)
  • 3. School of Science, PO Box 122, Beijing University of Posts and Telecommunications, Beijing 100876 (China)
  • 4. Meteorology Center of Air Force Command Post, Changchun 130051 (China)

Description

A variable-coefficient Kadomtsev–Petviashvili equation is investigated. The Painlevé analysis leads to its explicit Painlevé-integrable conditions. An auto-Bäcklund transformation and the bilinear form are presented via the truncated Painlevé expansion and symbolic computation. Several families of new analytic solutions are presented, including the soliton-like and periodic solutions. (general)

Availability note (English)

Available from http://dx.doi.org/10.1088/0256-307X/25/5/021

Additional details

Identifiers

DOI
10.1088/0256-307X/25/5/021;

Publishing Information

Journal Title
Chinese Physics Letters
Journal Volume
25
Journal Issue
5
Journal Page Range
p. 1599-1602
ISSN
0256-307X
CODEN
CPLEEU

INIS

Country of Publication
China
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
44125030
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ANALYTICAL SOLUTION; BAECKLUND TRANSFORMATION; CALCULATION METHODS; INTEGRAL CALCULUS; PARTIAL DIFFERENTIAL EQUATIONS; PERIODICITY; SOLITONS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL SOLUTIONS; MATHEMATICS; QUASI PARTICLES; TRANSFORMATIONS; VARIATIONS