On the bilinear Bäcklund transformation, Lax pair and interaction solutions to stochastic potential Korteweg–De Vries equation
Year: 2026
Type: article
Abstract: In this study, the bilinear formalism, bilinear Bäcklund transformations (BBT) and Lax pair of the stochastic potential Korteweg–De Vries equation (spKdV) are established using the Bell polynomial approach. The spKdV equation, found in applications related to electric circuits and multi-component plasmas, is utilized to characterize the weak dispersive effects on the transmission of photons and nonlinear optical solitons. Using the bilinear neural network method (BNNM), we obtain the analytical solutions of the spKdV and discuss the physical behavior of these solutions with various graphical representations. In addition, we obtain the conservation vectors of the model using the multiplier method. We expect that the findings will yield a profound understanding of the fundamental dynamics and characteristics of the model.
Authors: Nursena Günhan Ay, Emrullah Yaşar
Institutions: Bursa Uludağ Üni̇versi̇tesi̇, Istanbul Medeniyet University
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,712
Awards: G1078920935, G2345076108
OpenAlex ID: W7153067422