Inverse scattering transform: Difference between revisions

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===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 differential equation may arise from the the Lax operators, a combination of Lax 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===