ABSTRACT
This is a special case of equation 15.1.3.5 with n = 4.
3. ∂w
∂t = a
∂w
∂x4 + (bx + c)
∂w
∂x + f(w).
1◦. Suppose w(x, t) is a solution of this equation. Then the function
w1 = w(x + C1e-bt, t + C2),
where C1 and C2 are arbitrary constants, is also a solution of the equation.
2◦. Generalized traveling-wave solution: