Frontiers in Applied Mathematics and Statistics (Aug 2022)

Wave solutions of the DMBBM equation and the cKG equation using the simple equation method

  • Jiraporn Sanjun,
  • Aungkanaporn Chankaew

DOI
https://doi.org/10.3389/fams.2022.952668
Journal volume & issue
Vol. 8

Abstract

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In this article, we transform the (1 + 1)-dimensional non-linear dispersive modified Benjamin-Bona-Mahony (DMBBM) equation and the (2 + 1)-dimensional cubic Klein Gordon (cKG) equation, which are the non-linear partial differential equations, into the non-linear ordinary differential equations by using the traveling wave transformation and solve these solutions with the simple equation method (SEM) with the Bernoulli equation. Two classes of exact explicit solutions-hyperbolic and trigonometric solutions of the associated NLEEs are characterized with some free parameters; we obtain the kink waves and periodic waves.

Keywords