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Line 36: ===Scattering data time evolution=== The equations describing how scattering data evolves over time occur as solutions to a 1st order linear ordinary differential equation with respect to time. Using varying approaches, this first order linear differential equation may arise from the ~~Lax~~linear differential operators (Lax pair, AKNS pair), a combination of ~~Lax~~the linear differential operators and the nonlinear differential equation, or through additional substitution, integration or differentiation operations. Spatially asymptotic equations (<math display="inline">x \to \pm \infty</math>) simplify solving these differential equations.{{sfn\|Aktosun\|2009}}{{rp\|4967-4968}}{{sfn\|Drazin\|Johnson\|1989}}{{rp\|68-72}}{{sfn\|Gardner\|Greene\|Kruskal\|Miura\|1967}} ===Inverse scattering transform===

Inverse scattering transform: Difference between revisions