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Solitons, Shock Waves, Conservation Laws and Bifurcation Analysis of Boussinesq Equation with Power Law Nonlinearity and Dual Dispersion |
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PP: 949-957 |
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Author(s) |
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Anjan Biswas,
Ming Song,
Houria Triki,
Abdul H. Kara,
Bouthina S. Ahmed,
Andre Strong,
Amadou Hama,
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Abstract |
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This paper obtains the soliton solutions to the Boussinesq equation with the effect of surface tension being taken into
account. The power law nonlinearity is considered. Three integration tools are adopted in order to extract the soliton solutions. They are
the traveling wave hypothesis, ansatz method and the semi-inverse variational principle. Finally, the Lie symmetry approach is adopted
to extract the conservation laws of this equation. |
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