RT journal article T1 Symmetry reductions and conservation laws of a modified-mixed KdV equation: exploring new interaction solutions A1 Raza, Nauman A1 Gandarias Núñez, María Luz A1 Basendwah, Ghada Ali A2 Matemáticas K1 symmetry reductions K1 invariant solution K1 unified Riccati equation expansion method K1 exact solution K1 modified mixed KdV equation AB This article represented the investigation of the modified mixed Korteweg-de Vries equationusing di erent versatile approaches. First, the Lie point symmetry approach was used to determine allpossible symmetry generators. With the help of these generators, we reduced the dimension of theproposed equation which leads to the ordinary di erential equation. Second, we employed the unifiedRiccati equation expansion technique to construct the abundance of soliton dynamics. A group of kinksolitons and other solitons related to hyperbolic functions were among these solutions. To give thephysical meaning of these theoretical results, we plotted these solutions in 3D, contour, and 2D graphsusing suitable physical parameters. The comprehend outcomes were reported, which can be useful andbeneficial in the future investigation of the studied equation. The results showed that applied techniquesare very useful to study the other nonlinear physical problems in nonlinear sciences. PB AIMS SN 2473-6988 YR 2024 FD 2024-03-14 LK http://hdl.handle.net/10498/32929 UL http://hdl.handle.net/10498/32929 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 11-nov-2026