Exact solutions of nonlinear conformable time-fractional Boussinesq equations using the $$\exp \left( { - \phi \left( \varepsilon \right)} \right)$$exp-ϕε-expansion method
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DOI: 10.1007/s11082-017-0968-9
Abstract: Nonlinear fractional Boussinesq equations are considered as an important class of fractional differential equations in mathematical physics. In this article, a newly developed method called the $$\exp \left( { - \phi \left( \varepsilon \right)} \right)$$exp-ϕε-expansion… read more here.
Keywords: boussinesq equations; fractional boussinesq; exp left; method ... See more keywords
Exact solutions of fractional mBBM equation and coupled system of fractional Boussinesq-Burgers
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DOI: 10.1016/j.rinp.2018.04.026
Abstract: Abstract The new exact solutions of nonlinear fractional partial differential equations (FPDEs) are established by adopting first integral method (FIM). The Riemann-Liouville (R-L) derivative and the local conformable derivative definitions are used to deal with… read more here.
Keywords: equation coupled; fractional boussinesq; boussinesq burgers; mbbm equation ... See more keywords
Symmetry properties, similarity reduction and exact solutions of fractional Boussinesq equation
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DOI: 10.1142/s0219887817500839
Abstract: In this paper, some properties of the time fractional Boussinesq equation are presented. Group analysis of the time fractional Boussinesq equation with Riemann–Liouville derivative is performed and... read more here.
Keywords: fractional boussinesq; properties similarity; similarity reduction; boussinesq equation ... See more keywords
Some Exact Solutions and Conservation Laws of the Coupled Time-Fractional Boussinesq-Burgers System
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DOI: 10.3390/sym11010077
Abstract: In this paper, we investigate the invariant properties of the coupled time-fractional Boussinesq-Burgers system. The coupled time-fractional Boussinesq-Burgers system is established to study the fluid flow in the power system and describe the propagation of… read more here.
Keywords: burgers system; fractional boussinesq; system; time fractional ... See more keywords