Document Type

Article

Publication Date

3-2021

Abstract

In this paper, we first study the Schrodinger operators with the following weighted function ___________, which is actually a finite linear combination of Dirac-Delta functions, and then discuss the same operator equipped with the same kind of potential function. With the aid of the boundary conditions, all possible eigenvalues and eigenfunctions of the self-adjoint Schrodinger operator are investigated. Furthermore, as a practical application, the spectrum distribution of such a Dirac-Delta type Schrodinger operator either weighted or potential is well applied to the remarkable integrable Camassa-Holm (CH) equation.

Comments

Copyright 2021 Journal of Nonlinear Modeling and Analysis

Publication Title

Journal of Nonlinear Modeling and Analysis

DOI

10.12150/jnma.2021.131

Included in

Mathematics Commons

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