Results 91 to 100 of about 27,126 (206)

Complex soliton dynamics in the M-truncated fractional nonlinear long-wave system: lump, breather and M-shape structures

open access: yesBoundary Value Problems
In this study, we investigate the fractional modified regularized long-wave Burger (fMRLW–Burger) equation, a governing model widely used to explain the evolution of nonlinear surface water waves.
Badr Saad T. Alkahtani
doaj   +1 more source

Exploring Solitary Wave Solutions of the Generalized Integrable Kadomtsev-Petviashvili Equation via Lie Symmetry and Hirota's Bilinear Method

open access: yesSymmetry
This study sought to deepen our understanding of the dynamical properties of the newly extended (3+1)-dimensional integrable Kadomtsev–Petviashvili (KP) equation, which models the behavior of ion acoustic waves in plasmas and nonlinear optics. This paper
Beenish, Maria Samreen, F. Alshammari
semanticscholar   +1 more source

Abundant wave symmetries in the (3+1)-dimensional Chafee–Infante equation through the Hirota bilinear transformation technique

open access: yesOpen Physics
The present study investigates different types of wave symmetries in the (3+1)\left(3+1)-dimensional Chafee–Infante equation via the Hirota bilinear transformation technique. In this work, we derived exact solutions that include bright and dark solitons,
Ceesay Baboucarr   +5 more
doaj   +1 more source

Construction of bilinear Bäcklund transformation and complexitons for a newer form of Boussinesq equation describing shallow water waves

open access: yesResults in Physics
This research investigates the characteristics and attributes of a new (3+ 1)-dimensional Boussinesq equation that describes shallow water waves in higher dimensions.
Faisal Javed   +4 more
doaj   +1 more source

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