The Schrödinger equation in theory of plates and shells with orthorhombic anisotropy

DOI10.1007/BF02015257zbMath0654.73016MaRDI QIDQ1108836

Hui-chuan Shen

Publication date: 1987

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

zbMATH Keywords

Schrödinger equationDirac equationshallow shellsWinkler's foundationAKNS equationlarge deflection problemsKármán-Vlasov equationsLove-Kirchhoff equationsorthorhombic anisotropic thin platesorthorhombic anisotropic thin shellsorthorhombic anisotropyvibration problems with small deflection

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Plates (74K20) Schrödinger operator, Schrödinger equation (35J10) Membranes (74K15)

Related Items (2)

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

Cites Work

• The Schrödinger equation of thin shell theories
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• 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
• Elastic behavior of uniformly loaded circular corrugated plate with sine- shaped shallow waves in large deflection
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• Korteweg-de Vries Equation and Generalizations. III. Derivation of the Korteweg-de Vries Equation and Burgers Equation
• Korteweg-deVries Equation and Generalizations. V. Uniqueness and Nonexistence of Polynomial Conservation Laws
• On a Factor Automorphism of a Normal Dynamical System
• The decay of the continuous spectrum for solutions of the Korteweg-deVries equation
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