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Ali Danladi, Alhaji Tahir, Interaction dynamics for (3+1)-dimensional combined pKP-BKP equation, Eur. J. Math. Appl. 6 (2026), Article ID 1.

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Volume 6 (2026), Article ID 1

https://doi.org/10.28919/ejma.2026.6.1

Published: 05/02/2026

Abstract:

This study explores the (3+1)-dimensional combined pKP-BKP equation and its variants, specifically when certain parameters vanish, using the Hirota bilinear method and symbolic computation. We have successfully derived various solutions, including breather waves, two-wave interactions, lump-periodic solutions, and other novel interaction forms. All the presented solutions have been verified to satisfy the original equations through back-substitution, aided by the Wolfram Mathematica package. To illustrate the nature of these solutions, their visual characteristics are graphically depicted. The results contribute valuable insights into fundamental nonlinear fluid dynamics and enhance our understanding of computational physics and engineering science within complex nonlinear, higher-dimensional wave fields.

How to Cite:

Ali Danladi, Alhaji Tahir, Interaction dynamics for (3+1)-dimensional combined pKP-BKP equation, Eur. J. Math. Appl. 6 (2026), Article ID 1. https://doi.org/10.28919/ejma.2026.6.1