scholarly journals Solutions to the Cubic Schrödinger Equation by the Inverse Scattering Method

1992 ◽  
Vol 23 (4) ◽  
pp. 900-922 ◽  
Author(s):  
Amy Cohen ◽  
Thomas Kappeler
Keyword(s):  
Schrödinger Equation ◽  
Inverse Scattering ◽  
Schrodinger Equation ◽  
Inverse Scattering Method ◽  
Scattering Method ◽  
Cubic Schrödinger Equation

SUPERSYMMETRY, REFLECTIONLESS SYMMETRIC POTENTIALS AND THE INVERSE METHOD

1990 ◽  
Vol 05 (09) ◽  
pp. 1763-1772 ◽  
Author(s):  
B. BAGCHI
Keyword(s):  
Inverse Scattering ◽  
Schrodinger Equation ◽  
Inverse Method ◽  
Kdv Equation ◽  
Soliton Solutions ◽  
Inverse Scattering Method ◽  
Wave Functions ◽  
Scattering Method ◽  
De Vries

The role of inverse scattering method is illustrated to examine the connection between the multi-soliton solutions of Korteweg-de Vries (KdV) equation and discrete eigenvalues of Schrödinger equation. The necessity of normalization of the Schrödinger wave functions, which are constructed purely from a supersymmetric consideration is pointed out.

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