Published April 30, 2009
| Version v1
Journal article
Jacobi elliptic function solutions of the Ablowitz-Ladik discrete nonlinear Schroedinger system
Creators
- 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072 (China)
- 2. College of Science, Huzhou University, Huzhou 313000 (China)
Description
A new general Jacobi elliptic function expansion algorithm is developed to obtain exact solutions for discrete nonlinear systems. Applying this method, many exact Jabobi elliptic function travelling wave solutions for Ablowitz-Ladik discrete nonlinear Schroedinger system are derived. These doubly periodic solutions may degenerate to hyperbolic function solutions including discrete soliton solutions as the modulus m → 1 and trigonometric function solutions as m → 0, respectively.
Availability note (English)
Available from http://dx.doi.org/10.1016/j.chaos.2007.08.025Additional details
Identifiers
- DOI
- 10.1016/j.chaos.2007.08.025;
- PII
- S0960-0779(07)00637-6;
Publishing Information
- Journal Title
- Chaos, Solitons and Fractals
- Journal Volume
- 40
- Journal Issue
- 2
- Journal Page Range
- p. 786-792
- ISSN
- 0960-0779
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 41008875
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- ALGORITHMS; EXACT SOLUTIONS; JACOBIAN FUNCTION; NONLINEAR PROBLEMS; PERIODICITY; SOLITONS; TRAVELLING WAVES
- Descriptors DEC
- FUNCTIONS; MATHEMATICAL LOGIC; MATHEMATICAL SOLUTIONS; QUASI PARTICLES; VARIATIONS
Optional Information
- Copyright
- Copyright (c) 2007 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.