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nlin.SI2024
Lie symmetries, closed-form solutions, and conservation laws of a constitutive equation modeling stress in elastic materials
Rehana Naz, Willy Hereman
The Lie-point symmetry method is used to find some closed-form solutions for a constitutive equation modeling stress in elastic materials. The partial differential equation (PDE),…
nlin.SI2024★ 6 cited
Using Symmetries to Investigate the Complete Integrability, Solitary Wave Solutions and Solitons of the Gardner Equation
Willy Hereman, Ünal Göktaş
Using a scaling symmetry, it is shown how to compute polynomial conservation laws, generalized symmetries, recursion operators, Lax pairs, and bilinear forms of polynomial nonlinea…