Abstract
Multiparameter dimensional groups of transformations are applied to a system of quasilinear hyperbolic partial differential equations along with their auxiliary conditions. It is shown that for such a class of problems the similarity characteristic relationship can be stated and the location of the wavefront in terms of similarity variable can be determined. Two theorems are stated and their proofs given. Furthermore, it is shown that similarity transformation is one-to-one and onto. Similarity analysis of two problems, arising in wave propagation in nonlinear-nonhomogeneous rods, is presented in the light of theory presented in the paper.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
