Introduction to soliton theory: applications to mechanics

zbMath1087.76001MaRDI QIDQ1886072

Ligia Munteanu, Stefania Donescu

Publication date: 15 November 2004

Published in: Fundamental Theories of Physics (Search for Journal in Brave)

zbMATH Keywords

elastic rodsblood flowTzitzeica surfaces

Mathematics Subject Classification ID

Solitary waves for incompressible inviscid fluids (76B25) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to fluid mechanics (76-01) Physiological flows (76Z05) Solitary waves in solid mechanics (74J35) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mechanics of deformable solids (74-01)

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Nonlinear wave interactions in a macroscopic production model ⋮ An exact description of nonlinear wave interaction processes ruled by \(2\times 2\) hyperbolic systems ⋮ Compacton, peakon, cuspons, loop solutions and smooth solitons for the generalized KP-MEW equation ⋮ Solitons and modulation instability of the perturbed Gerdjikov-Ivanov equation with spatio-temporal dispersion ⋮ Wave propagation in periodic buckled beams. I: Analytical models and numerical simulations ⋮ Wave propagation in periodic buckled beams. Part II: Experiments ⋮ Phase transition from soliton to breather, soliton-breather molecules, breather molecules of the Caudrey-Dodd-Gibbon equation ⋮ A geometric perspective on the generalized Cobb-Douglas production functions ⋮ Interaction of Dirac \(\delta\)-waves in the nonlinear Klein-Gordon equation ⋮ Bifurcation of travelling wave solutions for the generalized KP-MEW equations ⋮ On the dynamics of locally resonant sonic composites

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