Exact traveling wave solutions for nonlinear elastic rod equation
Sign Up to like & getrecommendations! Published in 2019 at "Journal of King Saud University - Science"
DOI: 10.1016/j.jksus.2017.08.010
Abstract: Abstract An analytical study on a nonlinear elastic rod equation is conducted in this paper. The modified Kudryashov method, the (G′/G)-expansion method, and the Exp-function method are employed to extract exact solutions for the equation.… read more here.
Keywords: rod equation; exact traveling; traveling wave; wave solutions ... See more keywords
On solitonic solutions for the hyperelastic rod equation
Sign Up to like & getrecommendations! Published in 2019 at "Wave Motion"
DOI: 10.1016/j.wavemoti.2019.102404
Abstract: Abstract Formation of solitary wave trains is studied within the scope of the hyperelastic rod equation. The model equation is integrated numerically for the harmonic initial conditions using the discrete Fourier transform-based pseudospectral method. Numerical… read more here.
Keywords: rod equation; solitonic solutions; hyperelastic rod; solutions hyperelastic ... See more keywords
Blow-up criteria for modified two-component generalization of hyper-elastic rod equation
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DOI: 10.1080/00036811.2021.1889522
Abstract: We investigate the blow-up phenomena for the two-component generalization of hyper-elastic rod equation on the real line. We establish some blow-up criteria for system of coupled equations with den... read more here.
Keywords: generalization hyper; rod equation; elastic rod; hyper elastic ... See more keywords