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Conservation laws, solitary wave solutions, and lie analysis for the nonlinear chains of atoms

Conservation laws, solitary wave solutions, and lie analysis for the nonlinear chains of atoms

Abstract Nonlinear chains of atoms (NCA) are complex systems with rich dynamics, that influence various scientific disciplines. The lie symmetry approach is considered to analyze the NCA. The Lie symmetry method is a powerful mathematical tool for analyzing and solving differential equations with symmetries, facilitating the reduction of complexity and …