38 citations · 90 across the 15 of their papers we have counts for
17 papers
On (in)stability of discontinuous standing waves for the NLS with a delta-prime on star graphs
Jaime Angulo Pava, Alexander Muñoz
We investigate the existence and (in)stability of standing waves that are discontinuous at the vertex for the one-dimensional nonlinear Schrödinger equation (NLS) with a power nonl…
Existence and (in)stability of standing waves for the nonlinear Schrödinger Equations on looping-edge graphs with -type interactions
Jaime Angulo Pava, Alexander Muñoz
In this work, we investigate the existence and orbital (in)stability of several branches of standing--wave solutions for the cubic nonlinear Schrödinger equation (NLS) posed on a l…
Nonlinear Schrödinger Equations on looping-edge graphs with -type interactions
Jaime Angulo Pava, Alexander Munoz
In this work, we study the existence and orbital (in)stability of certain standing-wave solutions for the cubic nonlinear Schrödinger equation (NLS) posed on a looping-edge graph $…
Existence and orbital stability of standing-wave solutions of the NLS-log equation on a tadpole graph
Jaime Angulo Pava, Andrés Gerardo Pérez Yépez
This work aims to study some dynamical aspects of the nonlinear logarithmic Schrödinger equation (NLS-log) on a tadpole graph, namely, a graph consisting of a circle with a half-li…
Dynamics of the sine-Gordon equation on tadpole graphs
Jaime Angulo Pava, Ramón G. Plaza
This work studies the dynamics of solutions to the sine-Gordon equation posed on a tadpole graph and endowed with boundary conditions at the vertex of -type. The latter gene…
Airy and Schrödinger-type equations on looping-edge graphs and applications
Jaime Angulo Pava, Alexander Muñoz
The aim of this work is to study the Airy and Schrödinger operators on looping-edge graphs, a class of metric graphs consisting of a circle and a finite number of infinite half…
Instability theory of kink and anti-kink profiles for the sine-Gordon equation on Josephson tricrystal boundaries
Jaime Angulo Pava, Ramón G. Plaza
The aim of this work is to establish a instability study for stationary kink and antikink/kink profiles solutions for the sine-Gordon equation on a metric graph with a structure re…
Unstable kink-soliton profiles for the sine-Gordon equation on a -junction graph with -interaction
Jaime Angulo Pava, Ramón G. Plaza
The aim of this work is to establish a linear instability result of stationary, kink and kink/anti-kink soliton profile solutions for the sine-Gordon equation on a metric graph wit…
Orbital stability of standing waves for the nonlinear Schrödinger equation with attractive delta potential and double power repulsive nonlinearity
Jaime Angulo Pava, César A. Hernández Melo, Ramón G. Plaza
In this paper, a nonlinear Schrödinger equation with an attractive (focusing) delta potential and a repulsive (defocusing) double power nonlinearity in one spatial dimension is con…
On stability properties of the Cubic-Quintic Schrodinger equation with delta-point interaction
Jaime Angulo Pava, Cesar Adolfo Hernandez Melo
We study analytically and numerically the existence and orbital stability of the peak-standing-wave solutions for the cubic-quintic nonlinear Schrodinger equation with a point inte…
On the orbital instability of excited states for the NLS equation with the -interaction on a star graph
Jaime Angulo Pava, Nataliia Goloshchapova
We study the nonlinear Schrödinger equation (NLS) on a star graph . At the vertex an interaction occurs described by a boundary condition of delta type with strength $…
Stability properties of solitary waves for fractional KdV and BBM equations
Jaime Angulo Pava
This paper sheds new light on the stability properties of solitary wave solutions associated with models of Korteweg-de Vries and Benjamin\&Bona\&Mahoney type, when the dispersion…
Stability of standing waves for logarithmic Schrödinger equation with attractive delta potential
Jaime Angulo Pava, Alex Hernandez Ardila
We consider the one-dimensional logarithmic Schrödinger equation with a delta potential. Global well-posedness is verified for the Cauchy problem in H1(R) and in an appropriate Orl…
Extension theory approach in the stability of the standing waves for the NLS equation with point interactions on a star graph
Jaime Angulo Pava, Nataliia Goloshchapova
The aim of this work is to demonstrate the effectiveness of the extension theory of symmetric operators in the investigation of the stability of standing waves for the nonlinear Sc…
Stability of standing waves for NLS-log equation with -interaction
Jaime Angulo Pava, Nataliia Goloshchapova
We study analytically the orbital stability of the standing waves with a peak-Gausson profile for a nonlinear logarithmic Schrödinger equation with -interaction (attractive and…
On the Schrödinger equation with singular potentials
Jaime Angulo Pava, Lucas C. F. Ferreira
We study the Cauchy problem for the non-linear Schrödinger equation with singular potentials. For point-mass potential and nonperiodic case, we prove existence and asymptotic stabi…
The Non-Linear Schrödinger Equation with a periodic {\bf{}}--interaction
Jaime Angulo, Gustavo Ponce
We study the existence and stability of the standing waves for the periodic cubic nonlinear Schrödinger equation with a point defect determined by a periodic Dirac distribution at…