The relation between the von Kármán equation for the elastic large deflection problem and the Schrödinger equation for the quantum eigenvalues problem

DOI10.1007/BF03250496zbMath0586.73081OpenAlexW2316362681MaRDI QIDQ1071571

Hui-chuan Shen

Publication date: 1985

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03250496

zbMATH Keywords

nonlinear equationBäcklund transformationtransformconverse scattering methodelastic large deflectionquantum eigenvalues problemsolutions of the Schrödinger equationsolutions of von Kármán

Mathematics Subject Classification ID

Plates (74K20) Electromagnetic interaction; quantum electrodynamics (81V10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (7)

General equations, double hormonic equations and eigen-equations in problems of ideal plasticity ⋮ The theory of functions of a complex variable under Dirac-Pauli representation and its application in fluid dynamics. I ⋮ Solutions of magnetohydrodynamics equations - The theory of functions of a complex variable under Dirac-Pauli representation and its application in fluid dynamics. IV ⋮ Exact solution of the Boltzmann equation ⋮ The Schrödinger equation in theory of plates and shells with orthorhombic anisotropy ⋮ Further study of the relation of von Kármán equation for elastic large deflection problem and Schrödinger equation for quantum eigenvalue problem ⋮ Dissipation mechanics and exact solutions for nonlinear equations of dissipative type. Principle and application of dissipation mechanics. I

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