Dynamics of One-Dimensional Motion of a Gas Under the Influence of Monochromatic Radiation

The concern with the dispersion of shock waves in perfect gas in the context of monochromatic radiation is mentioned in this manuscript. The system of Hyperbolic nonlinear partial differential equations (NLPDEs) is used to address this issue. In order to study aforementioned equations, invariance under Lie symmetry analysis is performed. Therefore, commutative relations, symmetry groups and adjoint relations are established. The optimal system of one dimensional sub-algebra is also found by utilising invariant functions. We attempted to discover the possible exact solution using symmetry reductions as per the optimal system as well as a concise study on the characteristics of the various solutions provided. We have thus identified few new exact solutions containing several arbitrary constants. To analyze the physical structures, some of the obtained exact solution are described with graphical representations. The results typically assist to investigate wave interactions in various novel localised structures and models.