I am looking for examples of the non-autonomous linear wave equation that have some relevant applications.
What articles and sources (maybe, some catalogue like Handbook of Nonlinear Partial Differential Equations) may I refer to?
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Sign up to join this communityI am looking for examples of the non-autonomous linear wave equation that have some relevant applications.
What articles and sources (maybe, some catalogue like Handbook of Nonlinear Partial Differential Equations) may I refer to?
If the time dependence of the potentials is periodic in time, then one enters the field of Floquet wave equations, which is a very active field of study with many real-world and even practical applications. (A textbook is Floquet Theory for Partial Differential Equations.)
The recent interest focuses on topological aspects of these driven systems, under the name of "Floquet Topological Insulators". Here is a review article, and here is an online talk. A specific application to the periodically driven Dirac equation is here.