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Quaternion Algebra Approach to Nonlinear Schr\"odinger Equations with Nonvanishing Boundary Conditions

Francesco DemontisCornelis van der Mee
Mar 2023
摘要
In this article we apply quaternionic linear algebra and quaternionic linearsystem theory to develop the inverse scattering transform theory for thenonlinear Schr\"odinger equation with nonvanishing boundary conditions. We alsodetermine its soliton solutions by using triplets of quaternionic matrices.
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