An inverse solitary wave problem related to microstructured materials

DOI10.1088/0266-5611/21/6/014zbMath1112.35145OpenAlexW1988578151MaRDI QIDQ3373131

Jaan Janno, Yu. K. Ehngel'brekht

Publication date: 13 March 2006

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/21/6/014

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Second-order nonlinear hyperbolic equations (35L70) Series solutions to PDEs (35C10) Soliton equations (35Q51) Solitary waves in solid mechanics (74J35)

Related Items (10)

Waves in microstructured solids and the Boussinesq paradigm ⋮ On solitons in media modelled by the hierarchical KdV equation ⋮ On the propagation of 1D solitary waves in Mindlin-type microstructured solids ⋮ Emergence of Solitonic Structures in Hierarchical Korteweg–de Vries Systems ⋮ Nonlinear deformation waves in solids and dispersion ⋮ Analytic solutions of a microstructure PDE and the KdV and Kadomtsev-Petviashvili equations by invariant Painlevé analysis and generalized Hirota techniques ⋮ On the influence of material properties on the wave propagation in Mindlin-type microstructured solids ⋮ Solitary wave families of a generalized microstructure PDE ⋮ Stability/instability of solitary waves with nonzero asymptotic value for a PDE in microstructural solid materials ⋮ Internal Variables and Scale Separation in Dynamics of Microstructured Solids

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