The relation between the von Kármán equation for the elastic large deflection problem and the Schrödinger equation for the quantum eigenvalues problem
type: Item
instance of: scholarly article
title: The relation between the von Kármán equation for the elastic large deflection problem and the Schrödinger equation for the quantum eigenvalues problem
zbMATH Open document ID: 0586.73081
DOI: 10.1007/BF03250496
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1985-01-01T00:00:00Z
review text: The solutions of von Kármán for the elastic large deflection problem are classified as the several solutions of the Schrödinger equation for the quantum eigenvalues problem, and we present the transform from the nonlinear equation into a linear equation. Thus, we create favourable conditions of the adoption of the converse scattering method and Bäcklund transformation. We also discuss the large deflection problem of a long and narrow plate.
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 35J10
Mathematics Subject Classification ID: 81V10
zbMATH DE Number: 3940871
zbMATH Keywords: solutions of von Kármán
zbMATH Keywords: elastic large deflection
zbMATH Keywords: solutions of the Schrödinger equation
zbMATH Keywords: quantum eigenvalues problem
zbMATH Keywords: transform
zbMATH Keywords: nonlinear equation
zbMATH Keywords: converse scattering method
zbMATH Keywords: Bäcklund transformation
author: Hui-chuan Shen
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf03250496
OpenAlex ID: W2316362681
description: scientific article; zbMATH DE number 3940871