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Shapes and dynamics of dual-mode Hirota-Satsuma coupled KdV equations: Exact traveling wave solutions and analysis

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2019

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Elsevier Science BV

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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.

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Dual-Mode, Hirota-Satsuma Coupled Kdv Equation, Tanh-Expansion Method, Rational Sine-Cosine Method, Kudryashov-Expansion Method

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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).

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Chinese Journal of Physics

Volume

58

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Start Page

49

End Page

56