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eqns = {D[g[z, t], z] == 0.1 (\[Alpha] (1 - 1/(sqrt[1 + a^2/2]) + a^2*(1 + g[z, t]/f[z, t]^2)^(-3/2)) - 1/(k^2*r0^2*f[z, t]^2))*(D[g[z, t], t] - ((2*g[z, t]/f[z, t])*D[f[z, t], t])) - ((4*g[z,...
eqns = {D[g[z, t], z] == (1/vg)(M*L -(r0^2/(Rd^2*f[z,t]^3))+M*(1+Rn*(r/r0)^2)*a^2/((1+X*g[z,t]/f[z,t]^2)^(3/2)))(D[g[z, t], t]-((2*g[z,t]/f[z,t])*D[f[z,t],t]))-((4*g[z,t]*r0^2)/(Rd^2*f[z,t]^3))*D[f[z,t],t], D[f[z, t], z, z] ==(...