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Advances in Continuous and Discrete Models

Theory and Modern Applications

Figure 5 | Advances in Difference Equations

Figure 5

From: Exact spatiotemporal soliton solutions to the generalized three-dimensional nonlinear Schrödinger equation in optical fiber communication

Figure 5

Density \(\pmb{|u_{3}|^{2}}\) as a function of propagation distance \(\pmb{L\equiv x+y+t}\) and z given by Eq. ( 44 ), with (a)  \(\pmb{F(\xi)=\tanh(\xi)}\) , (b)  \(\pmb{F(\xi)=\operatorname{sech}(\xi)}\) , (c)  \(\pmb{F(\xi)=\mathrm{sn}(\xi)}\) , \(\pmb{M=0.5}\) and (d)  \(\pmb{F(\xi )=\mathrm{cn}(\xi)}\) , \(\pmb{M=0.5}\) .

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