ON NONLINEAR BIHARMONIC DISPERSIVE WAVE EQUATIONS

Authors

  • Sadiq Shehu Sabo
    Department of Mathematics, Faculty of Science, Federal University, Dutse, Jigawa State
  • Umar Muhammad Dauda
    Aliko Dangote University of Science & Technology, Wudil
  • Sunday Babuba
    Department of Mathematics, Faculty of Science, Federal University, Dutse, Jigawa State
  • Abba Ibrahim Bakari
    Department of Mathematics, Faculty of Science, Federal University, Dutse, Jigawa State

Keywords:

Biharmonic, dispersion, nonlinearities, singularities, perturbation, numerics

Abstract

This paper proposes and studies particular nonlinear dispersive biharmonic equation, whose related equations appear in various physical phenomena such as wave propagation in nonlinear media and plasma physics. We chose the power kind of nonlinearity as it is common in these areas. We show that the linear version exhibits strong dispersive behaviour while the nonlinear version reveals possible emergence of singularities for higher degree nonlinearity exponent . Both versions of the equation, linear and nonlinear, were solved analytically where for the latter we use perturbation approach and Fourier transform for the former. A glimpse towards the symmetry analysis of the underlying equations is provided and somewhat insights into the behaviour of the solution is discussed.

Author Biography

Sadiq Shehu Sabo

An MSc Student. 

Dimensions

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Published

31-01-2025

How to Cite

ON NONLINEAR BIHARMONIC DISPERSIVE WAVE EQUATIONS. (2025). FUDMA JOURNAL OF SCIENCES, 9(1), 87-100. https://doi.org/10.33003/fjs-2025-0901-2925

Issue

Vol. 9 No. 1 (2025): FUDMA Journal of Sciences - Vol. 9 No. 1

Section

Research Articles
Copyright & Licensing

FUDMA Journal of Sciences

How to Cite

ON NONLINEAR BIHARMONIC DISPERSIVE WAVE EQUATIONS. (2025). FUDMA JOURNAL OF SCIENCES, 9(1), 87-100. https://doi.org/10.33003/fjs-2025-0901-2925

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