The solutions of Eqs. (2)–(3) may be obtained by assuming the following wave transformation:
$$\begin{aligned} \phi (z,t) =\mathcal {P}_1(\zeta )\ e^{i \varUpsilon (z,t)}, \end{aligned}$$
(9)
$$\begin{aligned}…
The solutions of Eqs. (2)–(3) may be obtained by assuming the following wave transformation:
$$\begin{aligned} \phi (z,t) =\mathcal {P}_1(\zeta )\ e^{i \varUpsilon (z,t)}, \end{aligned}$$
(9)
$$\begin{aligned}…