Author

L. Alhakim

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Open access Oct 2026

A Generalized Template Framework for Constructing Exact Analytical Solutions to Various Nonlinear Partial Differential Equations

This paper introduces a unified analytical framework for solving a broad class of nonlinear partial differential equations by mapping them onto a fundamental second-order nonlinear template equation. While various direct methods such as the G′/G-expansion , Kudryashov, and Jacobi elliptic function methods are widely us...

A. Moussa, Boubekeur Gasmi, L. Alhakim · Mathematics · 0 citations

Open access Aug 2026

Bifurcation Analysis, Chaotic Behavior, and Exact Traveling Wave Solutions for the (2 + 1)-Dimensional Complex Modified Korteweg–de Vries Equation

This paper examines the (2 + 1)-dimensional complex modified Korteweg–de Vries equation, which describes the intricate motion of water particles from the surface to the bottom. By applying an appropriate wave transformation that reduces the governing nonlinear partial differential equations to an ordinary differential...

A. Moussa, Boubekeur Gasmi, L. Alhakim et al. · Mathematics · 1 citation