70 citations · 378 across the 33 of their papers we have counts for
34 papers
Persistence and asymptotic analysis of solutions of nonlinear wave equations
Igor Leite Freire
We consider persistence properties of solutions for a generalised wave equation including vibration in elastic rods and shallow water models, such as the BBM, the Dai's, the Camass…
Unique continuation results for abstract quasi-linear evolution equations in Banach spaces
Igor Leite Freire
Unique continuation properties for a class of evolution equations defined on Banach spaces are considered from two different point of views: the first one is based on the existence…
The Cauchy problem and continuation of periodic solutions for a generalized Camassa-Holm equation
Nilay Duruk Mutlubas, Igor Leite Freire
We consider a three-parameter family of non-linear equations with order non-linearities. Such family includes as a particular member the well-known equation, which encl…
Structural and qualitative properties of a geometrically integrable equation
Nazime Sales Filho, Igor Leite Freire
Lie symmetries of a Novikov geometrically integrable equation are found and group-invariant solutions are obtained. Local conservation laws up to second order are established as we…
Geometrical demonstration for persistence properties for a bi-Hamiltonian shallow water system
Igor Leite Freire
We present a geometrical demonstration for persistence properties for a bi-Hamiltonian system modelling waves in a shallow water regime. Both periodic and non-periodic cases are co…
Persistence properties of a Camassa-Holm type equation with order non-linearities
Igor Leite Freire
Lower order conservation laws and symmetries of a family of hyperbolic equations having the Camassa-Holm equation as a particular member are obtained. We show that the equation has…