Published October 15, 2009
| Version v1
Journal article
New traveling wave solutions to AKNS and SKdV equations
Creators
- 1. Istanbul Technical University, Faculty of Civil Engineering, Division of Mechanics, 34469 Maslak, Istanbul (Turkey)
Description
We analyze the traveling wave solutions of Ablowitz-Kaup-Newell-Segur (AKNS) and Schwarz-Korteweg-de Vries (SKdV) equations. As the solution method for differential equations we consider the improved tanh approach. This approach provides to transform the partial differential equation into the ordinary differential equation and then obtain the new families of exact solutions based on the solutions of the Riccati equation. The different values of the coefficients of the Riccati equation allow us to obtain new type of traveling wave solutions to AKNS and SKdV equations.
Availability note (English)
Available from http://dx.doi.org/10.1016/j.chaos.2009.01.023Additional details
Identifiers
- DOI
- 10.1016/j.chaos.2009.01.023;
- PII
- S0960-0779(09)00025-3;
Publishing Information
- Journal Title
- Chaos, Solitons and Fractals
- Journal Volume
- 42
- Journal Issue
- 1
- Journal Page Range
- p. 577-583
- ISSN
- 0960-0779
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 41020448
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- EXACT SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS; RICCATI EQUATION; TRAVELLING WAVES
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL SOLUTIONS
Optional Information
- Copyright
- Copyright (c) 2009 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.