Λεπτομέρειες βιβλιογραφικής εγγραφής
| Τίτλος: |
Inelastic lump–breather interactions and periodic wave dynamics in the generalized Calogero–Bogoyavlenskii–Schiff equation via a bilinear neural architecture. |
| Συγγραφείς: |
Akram, Sonia1 (AUTHOR) soniaakram641@gmal.com, Rahman, Mati ur2 (AUTHOR) mrmahman@imamu.edu.sa, AL-Essa, Laila A.3 (AUTHOR) Laalessa@pnu.edu.sa |
| Πηγή: |
European Physical Journal: Special Topics. Jun2026, Vol. 235 Issue 8, p2019-2038. 20p. |
| Θεματικοί όροι: |
*Nonlinear wave equations, *Nonlinear evolution equations, *Nonlinear waves, *Symbolic computation, *Coherent structures |
| Περίληψη: |
This study presents a structured analytical framework for investigating nonlinear wave structures governed by the generalized Calogero–Bogoyavlenskii–Schiff equation, a higher-dimensional model describing multidirectional wave propagation in plasma physics, fluid systems, and optical media. The bilinear neural network method is applied as a symbolic parametrization of Hirota's bilinear formalism, serving as an organized mechanism for generating admissible trial functions without involving any data-driven training or optimization procedure. By systematically applying coefficient balancing and symbolic computation, several classes of exact solutions are derived, including lump, three-wave interaction, breather, and periodic-type structures. The derived solutions highlight localized energy concentration, modulation dynamics, and nonlinear interaction patterns inherent to multidimensional systems. The results confirm that the proposed structured bilinear framework provides an effective and transparent approach for generating and analyzing exact solutions of higher-dimensional nonlinear evolution equations. [ABSTRACT FROM AUTHOR] |
| Βάση Δεδομένων: |
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