Solitary waves in a quartic nonlinear elastic rod

DOI10.1016/S0960-0779(99)00014-4zbMath0961.74036WikidataQ126654170 ScholiaQ126654170MaRDI QIDQ1579840

Jingbao Zhao, Wen-shan Duan

Publication date: 14 September 2000

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

zbMATH Keywords

nonlinear Schrödinger equationdark solitonsbright solitonsKdV solitonquartic nonlinear elastic rod

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Solitary waves in solid mechanics (74J35)

Related Items (8)

Group classifications, symmetry reductions and exact solutions to the nonlinear elastic rod equations ⋮ Perturbation analysis for wave equation of nonlinear elastic rod ⋮ Solution of nonlinear wave equation of elastic rod ⋮ Nonlinear waves in rods and beams of power-law materials ⋮ Exact travelling wave solutions in a nonlinear elastic rod equation ⋮ Exact traveling wave solutions and bifurcations in a nonlinear elastic rod equation ⋮ Lie symmetries, conservation laws and exact solutions for two rod equations ⋮ Dynamical survey of a generalized-Zakharov equation and its exact travelling wave solutions

Cites Work

• Unnamed Item
• The cubic nonlinear Schrödinger equation in a fluid-filled elastic tube
• The Decay of Soliton in Small Blood Artery

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