On essential nonlinearities emerging from linear systems

DOI10.1016/j.wavemoti.2022.102881OpenAlexW4210363287MaRDI QIDQ2124131

Philip S. Rosenau

Publication date: 14 April 2022

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2022.102881

zbMATH Keywords

nonlinear wave equationscompact breathersessentially nonlinear model

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Biology and other natural sciences (92-XX)

Cites Work

• Unnamed Item
• Development of singularities in the nonlinear waves for quasi-linear hyperbolic partial differential equations
• The nonlinear interaction of smooth travelling waves in an elastic string
• Compact breathers in a quasi-linear Klein-Gordon equation
• On the mathematical and geometrical structure of the determining equations for shear waves in nonlinear isotropic incompressible elastodynamics
• Formation of singularities for wave equations including the nonlinear vibrating string
• Compactons: Solitons with finite wavelength
• Travelling breathers and solitary waves in strongly nonlinear lattices
• Compactons
• Nonlinear Oscillatory Acoustic Vacuum

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