Shapes and dynamics of dual-mode Hirota-Satsuma coupled KdV equations: Exact traveling wave solutions and analysis
No Thumbnail Available
Date
2019
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier Science BV
Open Access Color
OpenAIRE Downloads
OpenAIRE Views
Abstract
In this paper we communicated with three different ansatze methods including the tanh-expansion method, the rational sine-cosine method and the Kudryashov-expansion method to study solitary wave solutions for a new developed nonlinear equation. We presented new generalized Hirota-Satsuma coupled KdV system of second-order in time t involving phase-velocity, dispersion and nonlinearity parameters. The new system can be defined as a dual-mode model where each involved field-function possess a spreading of dual-waves instead of single-mode wave. Graphical illustrations on the effect of both phase-velocity and dispersion-nonlinearity factors on the spacing of the obtained dual-waves are provided.
Description
Keywords
Dual-Mode, Hirota-Satsuma Coupled Kdv Equation, Tanh-Expansion Method, Rational Sine-Cosine Method, Kudryashov-Expansion Method
Turkish CoHE Thesis Center URL
Fields of Science
Citation
Alquran, Marwan; Jaradat, Imad; Baleanu, Dumitru, "Shapes and dynamics of dual-mode Hirota-Satsuma coupled KdV equations: Exact traveling wave solutions and analysis", Chinese Journal of Physics, Vol. 58, pp. 49-56, (2019).
WoS Q
Scopus Q
Source
Chinese Journal of Physics
Volume
58
Issue
Start Page
49
End Page
56