Compacton-like solutions of the hydrodynamic system describing relaxing media

DOI10.1016/S0034-4877(08)80020-1zbMath1173.35034arXiv0710.1191OpenAlexW3215828263MaRDI QIDQ1005517

J. Martínez

Publication date: 9 March 2009

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.1191

zbMATH Keywords

solitonscompactonshydrodynamic-type models

Mathematics Subject Classification ID

Qualitative investigation and simulation of ordinary differential equation models (34C60) Solutions to PDEs in closed form (35C05) Solitary waves in solid mechanics (74J35) Representations of solutions to partial differential equations (35C99)

Related Items (4)

On the stability of some exact solutions to the generalized convection-reaction-diffusion equation ⋮ On the localized wave patterns supported by convection-reaction-diffusion equation ⋮ Stability of smooth solitary waves for the generalized Korteweg-de-Vries equation with combined dispersion ⋮ Stability and dynamical features of solitary wave solutions for a hydrodynamic-type system taking into account nonlocal effects

Cites Work

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• Hierarchy of bifurcations of space-periodic structures in a nonlinear model of active dissipative media
• On solitons, compactons, and Lagrange maps.
• Compactons: Solitons with finite wavelength
• On the governing equations in relaxing media models and self-similar quasiperiodic solutions

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