The relation between the von Kármán equation for the elastic large deflection problem and the Schrödinger equation for the quantum eigenvalues problem
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.
scientific article; zbMATH DE number 3940871
scientific article