November 30, 2025Scientific ReportsOpen Access

Soliton dynamics of the fourth-order nonlinear Boussinesq equation arising in shallow-water via advanced analytical techniques

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Analytical approaches generate soliton solutions in shallow-water dynamics, suggesting improvements in nonlinear challenges.

Soliton solutions were derived using advanced analytical techniques, enhancing understanding of shallow-water wave interactions.
Key findings include new soliton solutions expressed as Jacobi elliptic and hyperbolic functions, yielding robust analytical insights.
Assessment using the Kumar-Malik and modified exponential function methods provides effective resolution of nonlinear equations.
The findings support the applicability of these methods in various fields, including fluid dynamics and engineering applications.

Malik et al. (2025) studied this question.

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