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Explores soliton solutions and image encryption in nonlinear models, suggesting enhanced security applications.
In this manuscript, we apply the unified solver process and the ø 6 -model expansion methodology to explore the dual-mode nonlinear Schrodinger (DMNLS) equation. Several travelling-wave solutions are obtained, including dark and bright solitons, singular solutions, periodic breather waves, single- and multiple-breather waves, and a comparison of two overlapping solutions. These outcomes are graphically illustrated to show the effects of various parameters on the soliton profiles. The phase-plane dynamics of the investigated model are constructed to analyze the qualitative behavior of the adopted nonlinear structure. The suggested nonlinear system is employed in an image-encryption application, where it disperses and jumbles image pixels to enhance security. The results obtained will serve as a significant milestone in the investigation of nonlinear phenomena in mathematical physics and engineering.
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Ullah et al. (2026) studied this question.
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