On solitary waves in case of amplitude-dependent nonlinearity

DOI10.1016/j.chaos.2015.01.013zbMath1352.35209OpenAlexW2028022183MaRDI QIDQ728372

Tanel Peets, Kert Tamm

Publication date: 20 December 2016

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2015.01.013

zbMATH Keywords

pseudospectral methodBoussinesq-type equation with nonstandard nonlinear termsmechanical waves in cylindrical biomembranes

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (5)

On the role of nonlinearities in the Boussinesq-type wave equations ⋮ On solutions of a Boussinesq-type equation with displacement-dependent nonlinearity: a soliton doublet ⋮ On the propagation of 1D solitary waves in Mindlin-type microstructured solids ⋮ Mathematics of Nerve Signals ⋮ Conservation laws in biology: Two new applications

Uses Software

• Matlab

Cites Work

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• Solitons in elastic solids (1938--2010)
• Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation
• Waves in microstructured solids and the Boussinesq paradigm
• On Boussinesq's paradigm in nonlinear wave propagation
• On the propagation of solitary pulses in microstructured materials
• Instability and stability properties of traveling waves for the double dispersion equation
• The Pseudospectral Method and Discrete Spectral Analysis
• Spectral Methods in MATLAB
• Solitonic structures in KdV-based higher-order systems.

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