On solitons and invariant solutions of the Magneto-electro-elastic circular rod

DOI10.1080/17455030.2015.1124153zbMath1366.74016OpenAlexW2295970453WikidataQ57834723 ScholiaQ57834723MaRDI QIDQ5283119

Bulent Kilic, Mustafa Inc, Mir Sajjad Hashemi, Ali Akgül

Publication date: 19 July 2017

Published in: Waves in Random and Complex Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17455030.2015.1124153

zbMATH Keywords

first integral methodsymmetry reductionsNucci's methodLie group symmetry method

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Electromagnetic effects in solid mechanics (74F15) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Related Items (10)

Hermite multiwavelets representation for the sparse solution of nonlinear Abel's integral equation ⋮ Analytical treatment of regularized Prabhakar fractional differential equations by invariant subspaces ⋮ New interaction solutions for a (2 + 1)-dimensional Vakhnenko equation ⋮ Constructing two powerful methods to solve the Thomas-Fermi equation ⋮ A modification to the first integral method and its applications ⋮ Construction of exact solutions in a magneto-electro-elastic circular rod ⋮ The \((3+1)\)-dimensional Wazwaz-KdV equations: the conservation laws and exact solutions ⋮ On new exact solutions of the generalized <scp>Fitzhugh–Nagumo</scp> equation with variable coefficients ⋮ Nonlocal symmetries of Frobenius sinh-Gordon systems ⋮ Lie symmetry analysis of two dimensional weakly singular integral equations

Cites Work

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• Magneto-thermo-electro-elastic transient response in a piezoelectric hollow cylinder subjected to complex loadings
• The first-integral method to study the Burgers–Korteweg–de Vries equation
• Lie point symmetries and first integrals: The Kowalevski top
• The complete Kepler group can be derived by Lie group analysis

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