Dielectric constant of graphene-on-polarized substrate: A tight-binding model study |
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Authors: | Sivabrata Sahu S K S Parashar G C Rout |
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Institution: | 1.School of Mathematics and Computing Science,Guilin University of Electronic Technology,Guilin,People’s Republic of China;2.School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guiyang,People’s Republic of China |
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Abstract: | By using the bifurcation theory of planar dynamical systems and the qualitative theory of differential equations, we studied the dynamical behaviours and exact travelling wave solutions of the modified generalized Vakhnenko equation (mGVE). As a result, we obtained all possible bifurcation parametric sets and many explicit formulas of smooth and non-smooth travelling waves such as cusped solitons, loop solitons, periodic cusp waves, pseudopeakon solitons, smooth periodic waves and smooth solitons. Moreover, we provided some numerical simulations of these solutions. |
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