6 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 non…
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…
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 hal…
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…
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 gen…
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-l…