Eigenvalues and Eigenfunctions of a Schrödinger Operator Associated with a Finite Combination of Dirac-Delta Functions and CH Peakons

Authors

Shouzhong Fu
Zhijun Qiao, The University of Texas Rio Grande ValleyFollow
Zhong Wang

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

Recommended Citation

Fu, Shouzhong, Zhijun Qiao, and Zhong Wang. 2021. “Eigenvalues and Eigenfunctions of a Schr¨odinger Operator Associated with a Finite Combination of Dirac-Delta Functions and CH Peakons.” Journal of Nonlinear Modeling and Analysis 3 (1): 131–44. https://doi.org/10.12150/jnma.2021.131.

Publication Title

Journal of Nonlinear Modeling and Analysis

DOI

10.12150/jnma.2021.131