Nonlinear dynamics of the solitary wave, boundary-forcing and wave undulation solutions of the nonlinear Equal Width Wave equation

Articles in Press

Document Type : Research Article

Author

Bursa Technical University, Faculty of Engineering and Natural Sciences, Dept. of Maths., Bursa, 16310, Turkiye

10.24200/sci.2025.65837.9693

Abstract

A highly accurate numerical algorithm has been preferred and used to
get numerical solutions of solitary wave, boundary-forcing and wave
undulation solutions of the nonlinear Equal Width Wave (EW) equation. Since
the boundary-forcing solutions of the EW equation do not exist in the
literature it's firstly obtained successfully and introduced in this study.
Wave generation with different values of the impulse, which is related to the forced-boundary in the EW equation, is investigated.
Using low-order modified B-spline and less number of nodal points are two
advantages of the present algorithm. Choosing modified cubic B-splines
prevents the appearance of the dummy points. To see the difference between
the present technique with other methods four applications existing in the
literature with many different values of parameters are investigated and
comparisons with nearly forty different techniques are reported. For all of
the comparisons, undoubtedly present algorithm produces better results
except only one method using more than three times nodal points. The
produced invariants are also in good agreement with the exact values. Rates
of the convergence are computed.

Keywords

Main Subjects

Scientia Iranica

Articles in Press, Accepted Manuscript
Available Online from 20 May 2025

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History

  • Receive Date: 03 December 2024
  • Revise Date: 24 February 2025
  • Accept Date: 17 May 2025

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