Are there any existing methods to solve a system of nonlinear PDE that looks like this: $$\left(\frac{\partial f(x,t)}{\partial t} \right)^2 + \left(\frac{\partial f(x,t)}{\partial x} \right)^2 = g(x,t)$$
where $g(x,t)$ is going to be specified?
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Does this answer your question? Solution for a first order non-linear partial differential equation – Gonçalo Nov 06 '23 at 08:44
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@Gonçalo Hmm... Will check it out. But it seems to work only for spatial derivatives. But I'll try to see if I can make it work with the del operator replaced by a D'Alembertian. Will get back to you. Thanks for pointing me to that question! – jboy Nov 10 '23 at 00:34