Solitons in diatomic elastic continua

DOI10.1016/0020-7225(86)90022-4zbMath0582.73028OpenAlexW2005717544MaRDI QIDQ1068578

Mevlüt Teymür

Publication date: 1986

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(86)90022-4

zbMATH Keywords

nonlinear Schrödinger equationsolitonslinear approximationunbounded mediatime harmonic wavesasymptotically governed by the Korteweg-de Vries equationdiatomic elastic continuumdispersive acoustical branchdispersive optical branchquadratic theory for isotropic homogeneous solidsmall finite amplitude plane longitudinal wavesstrongly dispersive regionweakly dispersive region

Mathematics Subject Classification ID

Wave scattering in solid mechanics (74J20) Theoretical approximation in context of PDEs (35A35) Waves in solid mechanics (74J99)

Cites Work

• Solitons and condensed matter physics. Proceedings of the symposium on nonlinear (soliton) structure and dynamics in condensed matter. Oxford, England, June 27-29, 1978
• A continuum theory of elastic solids with diatomic structure
• On isotropic functions of symmetric tensors, skew-symmetric tensors and vectors
• Water waves, nonlinear Schrödinger equations and their solutions
• The inverse scattering transform: Semi-infinite interval
• Wave Propagation in Dissipative or Dispersive Non-linear Media
• Weak Nonlinear Dispersive Waves: A Discussion Centered Around the Korteweg–De Vries Equation
• Structural Schemes for Elliptic Integrals

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