3 problems

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The collective-bound-mode conjecture for antikink-kink scattering in the phi-six model
The $\barphi^6$ model has antikink-kink ( $\bar{\rm K}{}\rm K$ ) configurations whose collisions can exhibit resonant scattering, even though the individual kinks support no bound st…
Conjectureopenfield-theory phi-six-model soliton-scatteringarXiv posted 2 days ago
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Robustness of spectral and vacuum-wall phenomena in soliton-antisoliton scattering
Robustness conjecture. The results obtained in the weakly interacting model are robust and relevant for rather generic soliton-antisoliton scattering processes in $(1+1)$ dimension…
Conjectureopenphi4-model scalar-field-theory soliton-scatteringarXiv posted 2 days ago
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Outgoing-soliton conjecture for nonlinearities close to integrable
Outgoing-soliton conjecture. For nonlinearities close to integrable, the outgoing waves are close to solitons over a timescale similar to the previously established timescales.
Conjecturesolvedintegrable-systems nonlinear-schrodinger-equations soliton-scatteringarXiv posted 2 days ago

The collective-bound-mode conjecture for antikink-kink scattering in the phi-six model