Equivalent Integral Equations of the Static Schrödinger Equation by Variation of Constants Method

Abstract:

As a milestone method, the inverse scattering transformation is also known as the nonlinear Fourier transformation for solving nonlinear partial differential equations analytically. The equivalent integral equations play a crucial role for the inverse scattering transformation. In this paper, the equivalent integral equations of the static Schrödinger equation are derived by the variation of constants method. The derivation of the equivalent integral equations provides with a necessary help for the beginners to study the inverse scattering transformation method in soliton theory.

• Periodical: Advanced Materials Research (Volumes 989-994)
• Pages: 1712-1715
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.989-994.1712
• Online since: July 2014
• Authors: Sheng Zhang*, Bin Cai, Di Wang
• Keywords: Equivalent Integral Equation, Schrödinger Equation, Variation of Constants Method

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