On the Inverse Scattering Problem for Cubic Eigenvalue Problems of the Class ψxxx + 6Qψx + 6Rψ = λψ

1980/06/01 by D. J. Kaup · 12 citations
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Nonlinear Photonic Systems #Advanced Mathematical Physics Problems

paper · doi:10.1002/sapm1980623189

Abstract

The inverse scattering problem for cubic eigenvalue equations of the form ψ xxx + 6 Qψ x + 6 R ψ = λ ψ is outlined and formally solved. Many properties of the scattering data are obtained, the continuous spectrum is briefly discussed, special one soliton solutions are obtained, and the infinity of conserved quantities are determined in terms of the scattering data.

Citations

• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

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