ABSTRACT
This is a special case of equation 11.1.1.5 with f (u) = 0. General solution:
w(x, t) = ∫
a F (ξ)e-t/ξdξ + dG(t)
dt ,
where Φ = Φ(x, t) is defined implicitly by
x –
a ξF (ξ)e-t/ξdξ + G(t) = 0,
and F (ξ) and G(t) are arbitrary functions, and a is an arbitrary constant. Yu. N. Kosovtsov (2007, from EqWorld: https://eqworld.ipmnet.ru/eqarchive/view.php?id=86).
