Alquran, MarwanJaradat, ImadBaleanu, Dumitru2020-02-212020-02-212019Alquran, 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).0577-9073http://hdl.handle.net/20.500.12416/2495In 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.eninfo:eu-repo/semantics/closedAccessDual-ModeHirota-Satsuma Coupled Kdv EquationTanh-Expansion MethodRational Sine-Cosine MethodKudryashov-Expansion MethodArticle58495610.1016/j.cjph.2019.01.005