ABSTRACT
F ( w, kw′ξ , k
– λw′ξ = 0.
This subsection presents special cases where equation (1) admits exact solutions other than traveling wave (2).
1. ∂w
∂t = F
( ∂2w
) .
1◦. Suppose w(x, t) is a solution of this equation. Then the function
w1 = C –2 1 w(C1x + C2,C21t + C3) + C4x + C5,
where C1, . . . , C5 are arbitrary constants, is also a solution of the equation.
