Exact travelling wave solutions in a nonlinear elastic rod equation

DOI10.1016/j.amc.2008.02.027zbMath1143.74033OpenAlexW2170175751MaRDI QIDQ942369

Yi Zhang, Ji-Bin Li

Publication date: 5 September 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.02.027

zbMATH Keywords

bifurcationperiodic wave solutionkink wave solution

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear waves in solid mechanics (74J30)

Related Items (6)

A model of solitary waves in a nonlinear elastic circular rod: abundant different type exact solutions and conservation laws ⋮ Application of bifurcation method to the generalized Zakharov equations ⋮ Group classifications, symmetry reductions and exact solutions to the nonlinear elastic rod equations ⋮ Exact traveling wave solutions and bifurcations in a nonlinear elastic rod equation ⋮ Dynamical survey of a generalized-Zakharov equation and its exact travelling wave solutions ⋮ A series of new exact solutions of nonlinear evolution equations

Cites Work

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• Perturbation analysis for wave equation of nonlinear elastic rod
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• The propagation of solitary waves in a nonlinear elastic rod
• Solitary waves in a quartic nonlinear elastic rod
• Solitary waves in an inhomogeneous rod composed of a general hyperelastic material
• Strain kinks in an elastic rod embedded in a viscoelastic medium
• TRAVELING WAVES FOR AN INTEGRABLE HIGHER ORDER KDV TYPE WAVE EQUATIONS
• Some general periodic solutions to coupled nonlinear Schrödinger equations.

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