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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.14522 |
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| _version_ | 1866908456814903296 |
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| author | de la Rosa, Rafael Bluman, George W. |
| author_facet | de la Rosa, Rafael Bluman, George W. |
| contents | 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 $c(x,t)$ to linear wave equations with different variable wave speeds. Moreover, we present new non-invertible mappings of linear wave equations with variable wave speeds $c(x,t)$ to a linear wave equation with a constant wave speed. Consequently, the general solutions of these linear wave equations with variable wave speeds $c(x,t)$ are obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_14522 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | New non-invertible mappings and general solutions of linear wave equations with variable wave speeds de la Rosa, Rafael Bluman, George W. Analysis of PDEs 35B06, 35C05, 35L05 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 $c(x,t)$ to linear wave equations with different variable wave speeds. Moreover, we present new non-invertible mappings of linear wave equations with variable wave speeds $c(x,t)$ to a linear wave equation with a constant wave speed. Consequently, the general solutions of these linear wave equations with variable wave speeds $c(x,t)$ are obtained. |
| title | New non-invertible mappings and general solutions of linear wave equations with variable wave speeds |
| topic | Analysis of PDEs 35B06, 35C05, 35L05 |
| url | https://arxiv.org/abs/2507.14522 |