Traveling waves and conservation laws for highly nonlinear wave equations modeling Hertz chains

DOI10.1063/1.4996889zbMath1376.82061arXiv1507.04759OpenAlexW3100002429MaRDI QIDQ5366991

Stephen C. Anco, Michelle Przedborski

Publication date: 10 October 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.04759

zbMATH Keywords

solitary wavetraveling wavefourth-order wave equationhighly nonlinear equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Interacting particle systems in time-dependent statistical mechanics (82C22) Periodic solutions to PDEs (35B10) Hyperbolic conservation laws (35L65) Initial value problems for nonlinear higher-order PDEs (35G25) Traveling wave solutions (35C07) Soliton solutions (35C08)

Related Items (6)

Exact closed-form solutions of a fully nonlinear asymptotic two-fluid model ⋮ Solitary waves, periodic peakons and compactons on foliations in a Hertz chain model ⋮ Conserved norms and related conservation laws for multi-peakon equations ⋮ Symmetry multi-reduction method for partial differential equations with conservation laws ⋮ Symmetries, solutions and conservation laws for the \((2+1)\) filtration-absorption model ⋮ Travelling wave solutions on a non-zero background for the generalized Korteweg–de Vries equation

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