SAMS Subject Classification Number: 3

In this talk, we investigate the general modified Camassa-Holm equation equation [1] which has many applications in fields such as physics, medicine, finance and other related science fields. Using the technique of Lie symmetry analysis [2], we first compute its Lie point symmetries. Thereafter, group-invariant solutions are determined under each symmetry. Finally, conservation laws for this equation are derived using multiplier approach [2].

[1] A. Zulfiqar, J. Ahmad, Exact solitary wave solutions of fractional modified Camassa-Holm equation using an efficient method, Alex. Eng. J., 59 (2020) 3565–3574.

[2] P.J. Olver, Applications of Lie Groups to Differential Equations, Springer-Verlag, New York, 1993.