Rational solutions of the classical Boussinesq–Burgers system
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DOI: 10.1007/s11071-018-4424-6
Abstract: We study rational solutions of the classical Boussinesq–Burgers (CBB) system which describes the propagation of shallow water waves. The main tools applied in this work to derive these solutions are the bilinear method and the… read more here.
Keywords: system; solutions classical; rational solutions; boussinesq burgers ... See more keywords
On the Boussinesq–Burgers equations driven by dynamic boundary conditions
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DOI: 10.1016/j.jde.2017.10.023
Abstract: Abstract We study the qualitative behavior of the Boussinesq–Burgers equations on a finite interval subject to the Dirichlet type dynamic boundary conditions. Assuming H 1 × H 2 initial data which are compatible with boundary… read more here.
Keywords: burgers equations; boundary conditions; boussinesq burgers; driven dynamic ... See more keywords
Non blowup of a generalized Boussinesq–Burgers system with nonlinear dispersion relation and large data
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DOI: 10.1016/j.physd.2018.12.006
Abstract: Abstract We study the qualitative behavior of classical solutions to the Cauchy problem of a generalized Boussinesq–Burgers system in one space dimension. Assuming initial data belong to H 2 ( R ) and utilizing energy… read more here.
Keywords: non blowup; burgers system; generalized boussinesq; boussinesq burgers ... 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
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