27 citations · 129 across the 16 of their papers we have counts for
16 papers
Spectral problem for a two-component nonlinear Schrödinger equation in dimensions: Singular manifold method and Lie point symmetries
Paz Albares, Juan Manuel Conde, Pilar García Estévez
An integrable two-component nonlinear Schrödinger equation in dimensions is presented. The singular manifold method is applied in order to obtain a three-component Lax pair.…
Chiral solitons in a non-linear model of helical molecules
P. Albares, E. Diaz, J. M. Cervero +3
In this paper an effective integrable non-linear model describing the electron spin dynamics in a deformable helical molecule with weak spin-orbit coupling is presented. Non-linear…
Spin dynamics in helical molecules with non-linear interactions
E. Diaz, P. Albares, P. G. Estevez +4
It is widely admitted that the helical conformation of certain chiral molecules may induce a sizable spin selectivity observed in experiments. Spin selectivity arises as a result o…
Lumps and Rogue waves of Generalized Nizhnik Novikov Veselov Equation
P. Albares, P. G. Estevez, R. Radha +1
We investigate the generalized (2 + 1) Nizhnik-Novikov-Veselov equation and construct its linear eigenvalue problem in the coordinate space from the results of singularity structur…
Lie symmetries for Lie systems: applications to systems of ODEs and PDEs
P. G. Estévez, F. J. Herranz, J. de Lucas +1
A {\it Lie system} is a nonautonomous system of first-order differential equations admitting a {\it superposition rule}, i.e., a map expressing its general solution in terms of a g…
Construction of Lumps with nontrivial interaction
P. G. Estevez
We develop a method based upon the Singular Manifold Method that yields an iterative and analytic procedure to construct solutions for a Bogoyavlenskii-Kadomtsev-Petviashvili equat…