Further study of the relation of von Kármán equation for elastic large deflection problem and Schrödinger equation for quantum eigenvalue problem

DOI10.1007/BF02017405zbMath0657.73030OpenAlexW2033689037MaRDI QIDQ1111065

Hui-chuan Shen

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf02017405

zbMATH Keywords

exact solutionnonlinear Schrödinger equationDirac equationinverse scattering methodAKNS equationorthorhombic anisotropy

Mathematics Subject Classification ID

Cites Work

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• The Schrödinger equation of thin shell theories
• Dynamical stress function tensor
• The solution of the problem of deflection of an elastic thin plate by the joint action of dynamical lateral pressure, force in central surface and external field on the elastic base
• The relation between the von Kármán equation for the elastic large deflection problem and the Schrödinger equation for the quantum eigenvalues problem
• General solution of elastodynamics
• General equations, double hormonic equations and eigen-equations in problems of ideal plasticity
• The Schrödinger equation in theory of plates and shells with orthorhombic anisotropy
• Nonlinear-Evolution Equations of Physical Significance

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