# Bifurcation analysis of stationary solutions of two-dimensional coupled Gross-Pitaevskii equations using deflated continuation

@article{Charalampidis2019BifurcationAO, title={Bifurcation analysis of stationary solutions of two-dimensional coupled Gross-Pitaevskii equations using deflated continuation}, author={Efstathios G. Charalampidis and Nicolas Boull{\'e} and Pe E. Farrell and Panayotis G. Kevrekidis}, journal={ArXiv}, year={2019}, volume={abs/1912.00023} }

Recently, a novel bifurcation technique known as the deflated continuation method (DCM) was applied to the single-component nonlinear Schrodinger (NLS) equation with a parabolic trap in two spatial dimensions. The bifurcation analysis carried out by a subset of the present authors shed light on the configuration space of solutions of this fundamental problem in the physics of ultracold atoms. In the present work, we take this a step further by applying the DCM to two coupled NLS equations in… CONTINUE READING

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## C

VIEW 16 EXCERPTS

HIGHLY INFLUENTIAL

## Commun

VIEW 17 EXCERPTS

HIGHLY INFLUENTIAL

## Comp

VIEW 16 EXCERPTS

HIGHLY INFLUENTIAL

## B 44

VIEW 6 EXCERPTS

HIGHLY INFLUENTIAL

## Phys

VIEW 10 EXCERPTS

HIGHLY INFLUENTIAL

## Comput

VIEW 3 EXCERPTS

HIGHLY INFLUENTIAL

## and R

VIEW 4 EXCERPTS

HIGHLY INFLUENTIAL

## AUTO: Software for continuation problems in ordinary differential equations with applications

VIEW 3 EXCERPTS

HIGHLY INFLUENTIAL