Published December 1, 2005 | Version v1
Journal article Metadata-only

An Explicit Baecklund Transformation of Burgers Equation with Applications

Creators

  • 1. Key Laboratory of Mathematics Mechanization, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080 (China)

Description

In this paper, an explicit Baecklund transformation (BT) of the Burgers equation is obtained by using the further extended tanh method [Phys. Lett. A 307 (2003) 269; Chaos, Solitons and Fractals 17 (2003) 669]. Based on the BT and some newly obtained seed solutions, infinite sequences of exact solutions for the Burgers equation are generated. Further more, this BT of the Burgers equation is applied to solve the variant Boussinesq equations and the approximate equations of long water wave.

Availability note (English)

Available from http://dx.doi.org/10.1088/6102/44/6/987

Additional details

Identifiers

DOI
10.1088/6102/44/6/987;

Publishing Information

Journal Title
Communications in Theoretical Physics
Journal Volume
44
Journal Issue
6
Journal Page Range
p. 987-989
ISSN
0253-6102

INIS

Country of Publication
China
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
41126521
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
APPROXIMATIONS; BAECKLUND TRANSFORMATION; CHAOS THEORY; EQUATIONS; EXACT SOLUTIONS; FRACTALS; SOLITONS; WATER WAVES
Descriptors DEC
CALCULATION METHODS; GRAVITY WAVES; MATHEMATICAL SOLUTIONS; MATHEMATICS; QUASI PARTICLES; TRANSFORMATIONS