Publication Type : Journal Article
Publisher : Elsevier BV
Source : Communications in Nonlinear Science and Numerical Simulation
Url : https://doi.org/10.1016/j.cnsns.2023.107417
Keywords : Suliciu relaxation system, Nonlocal symmetry, Inverse potential system, Exact solution, Weak discontinuity, Characteristic shock
Campus : Bengaluru
School : School of Engineering
Year : 2023
Abstract : In the present paper, we apply Lie symmetry to the Suliciu relaxation system governed by viscoelastic shallow fluid. Utilizing the local symmetries of the governing PDEs , we derive the one-dimensional optimal system of subalgebras and construct several new exact solutions through symmetry reduction. Further, we employ the direct multipliers method to the given model to extract new conservation laws. Furthermore, we establish potential systems and inverse potential systems to classify the nonlocal symmetry of the governing system. In addition, we develop some non-trivial exact solutions of the given model using the nonlocal symmetries of IPS. Finally, we investigate the propagation and interaction of -wave and characteristic shock.
Cite this Research Publication : Shagolshem S., Bira B., Sil S, Application of symmetry analysis to viscoelastic fluid model, Communications in Nonlinear Science and Numerical Simulation, Elsevier BV, 2023, https://doi.org/10.1016/j.cnsns.2023.107417