Figure 7From: Exact spatiotemporal soliton solutions to the generalized three-dimensional nonlinear Schrödinger equation in optical fiber communication Density \(\pmb{|u_{4}|^{2}}\) as a function of propagation distance \(\pmb{L\equiv x+y+t}\) and z given by Eq. ( 47 ), with (a) \(\pmb{F(\xi)=\mathrm{sn}/(1+\mathrm{dn})}\) , \(\pmb{M=0.9999}\) , (b) \(\pmb{F(\xi)=\mathrm{cn}/(\sqrt{1-M^{2}}+\mathrm{dn})}\) , \(\pmb{M=0.9999}\) , (c) \(\pmb{F(\xi )=\mathrm{sn}/(1+\mathrm{dn})}\) , \(\pmb{M=0.5}\) and (d) \(\pmb{F(\xi)=\mathrm{cn}/(\sqrt{1-M^{2}}+\mathrm{dn})}\) , \(\pmb{M=0.5}\) . Back to article page