The nonlinear Schrödinger equation created by the vibrations of an elastic plate and its dimensional expansion

zbMath1308.35273MaRDI QIDQ489852

Ben T. Nohara, Shuya Kanagawa

Publication date: 21 January 2015

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://aimsciences.org/journals/displayPaperPro.jsp?paperID=9226

zbMATH Keywords

Schrödinger equationGinzburg-Landau equationenvelopeelastic plategoverning equationbichromatic wavemonochromatic wave

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Bulk waves in solid mechanics (74J10) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Wave equation (35L05) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with mechanics of deformable solids (35Q74) Ginzburg-Landau equations (35Q56)

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