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19932026
most citedDeep learning for cardiac image segmentation: A review

870 citations

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6 papers · 1 filter

nlin.SI2018★ 4 cited

Multicomplex solitons

Julia Cen, Andreas Fring

We discuss integrable extensions of real nonlinear wave equations with multi-soliton solutions, to their bicomplex, quaternionic, coquaternionic and octonionic versions. In particu…

nlin.SI2018★ 33 cited

Asymptotic and scattering behaviour for degenerate multi-solitons in the Hirota equation

Julia Cen, Andreas Fring

We construct all higher order conserved charges from a general two-dimensional zero curvature condition using a Gardner transformation. Employing two of those charges in the defini…

nlin.SI2017★ 60 cited

Integrable nonlocal Hirota equations

Julia Cen, Francisco Correa, Andreas Fring

We construct several new integrable systems corresponding to nonlocal versions of the Hirota equation, which is a particular example of higher order nonlinear Schrödinger equations…

nlin.SI2016★ 19 cited

Time-delay and reality conditions for complex solitons

Julia Cen, Francisco Correa, Andreas Fring

We compute lateral displacements and time-delays for a scattering processes of complex multi-soliton solutions of the Korteweg de-Vries equation.The resulting expressions are emplo…

nlin.SI2016★ 31 cited

Regularized degenerate multi-solitons

Francisco Correa, Andreas Fring

We report complex PT-symmetric multi-soliton solutions to the Korteweg de-Vries equation that asymptotically contain one-soliton solutions, with each of them possessing the same am…

nlin.SI2016★ 21 cited

Complex solitons with real energies

Julia Cen, Andreas Fring

Using Hirota's direct method and Baecklund transformations we construct explicit complex one and two-solutions to the complex Korteweg-de Vries equation, the complex modified Korte…