227 citations · 7.4k across the 275 of their papers we have counts for
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Galileo invariant system and the motion of relativistic d-branes
D. Bazeia
We follow recent work and study the relativistic d-brane system in (d+1,1) dimensions and its connection with a Galileo invariant system in (d,1) dimensions. In particular, we solv…
Topological Twistons in Crystalline Polyethylene
D. Bazeia, E. Ventura
We introduce an alternate model to describe twistons in crystalline polyethylene. The model couples torsional and longitudinal degrees of freedom and appears as an extension of a m…
Exact Kink Solitons in the Presence of Diffusion, Dispersion, and Polynomial Nonlinearity
E. P. Raposo, D. Bazeia
We describe exact kink soliton solutions to nonlinear partial differential equations in the generic form u_{t} + P(u) u_{x} + νu_{xx} + δu_{xxx} = A(u), with polynomial functions P…
Travelling Wave Solutions in Nonlinear Diffusive and Dispersive Media
D. Bazeia, E. P. Raposo
We investigate the presence of soliton solutions in some classes of nonlinear partial differential equations, namely generalized Korteweg-de Vries-Burgers, Korteveg-de Vries-Huxley…
Nonlinear Realization of a Dynamical Poincare Symmetry by a Field-dependent Diffeomorphism
D. Bazeia, R. Jackiw
We consider a description of membranes by (2,1)-dimensional field theory, or alternatively a description of irrotational, isentropic fluid motion by a field theory in any dimension…
Chiral Solutions to Generalized Burgers and Burgers-Huxley Equations
D. Bazeia
We investigate generalizations of the Burgers and Burgers-Huxley equations. The investigations we offer focus attention mainly on presenting explict analytical solutions by means o…
Chiral Solitons in Generalized Korteweg-de Vries Equations
D. Bazeia, F. Moraes
Generalizations of the Korteweg-de Vries equation are considered, and some explicit solutions are presented. There are situations where solutions engender the interesting property…