New non-invertible mappings and general solutions of linear wave equations with variable wave speeds
Analysis of PDEs
2025-07-22 v1
Abstract
We show how the symmetry-based method can be used to obtain new non-invertible equivalence mappings of linear wave equations with variable wave speeds to linear wave equations with different variable wave speeds. Moreover, we present new non-invertible mappings of linear wave equations with variable wave speeds to a linear wave equation with a constant wave speed. Consequently, the general solutions of these linear wave equations with variable wave speeds are obtained.
Keywords
Cite
@article{arxiv.2507.14522,
title = {New non-invertible mappings and general solutions of linear wave equations with variable wave speeds},
author = {Rafael de la Rosa and George W. Bluman},
journal= {arXiv preprint arXiv:2507.14522},
year = {2025}
}