Orbital stability of KdV multisolitons in H-1

article Orbital stability of KdV multisolitons in H-1 published yes Rowan Killip author Monica Visan author 056daca0-b8d1-11f0-964f-f91054abf8ca We prove that multisoliton solutions of the Korteweg–de Vries equation are orbitally stable in H^-1(R). We introduce a variational characterization of multisolitons that remains meaningful at such low regularity and show that all optimizing sequences converge to the manifold of multisolitons. The proximity required at the initial time is uniform across the entire manifold of multisolitons; this had not been demonstrated previously, even in H^-1. Springer Nature2022 eng Communications in Mathematical Physics 0010-3616 1432-0916 2009.0674610.1007/s00220-021-04280-y 38931445-1473 yes Killip, Rowan, and Monica Vişan. “Orbital Stability of KdV Multisolitons in H-1.” Communications in Mathematical Physics, vol. 389, no. 3, Springer Nature, 2022, pp. 1445–73, doi:<a href="https://doi.org/10.1007/s00220-021-04280-y">10.1007/s00220-021-04280-y</a>. R. Killip and M. Vişan, “Orbital stability of KdV multisolitons in H-1,” Communications in Mathematical Physics, vol. 389, no. 3. Springer Nature, pp. 1445–1473, 2022. Killip, R., & Vişan, M. (2022). Orbital stability of KdV multisolitons in H-1. Communications in Mathematical Physics. Springer Nature. <a href="https://doi.org/10.1007/s00220-021-04280-y">https://doi.org/10.1007/s00220-021-04280-y</a> Killip R, Vişan M. Orbital stability of KdV multisolitons in H-1. Communications in Mathematical Physics. 2022;389(3):1445-1473. doi:<a href="https://doi.org/10.1007/s00220-021-04280-y">10.1007/s00220-021-04280-y</a> Killip R, Vişan M. 2022. Orbital stability of KdV multisolitons in H-1. Communications in Mathematical Physics. 389(3), 1445–1473. Killip, Rowan, and Monica Vişan. “Orbital Stability of KdV Multisolitons in H-1.” Communications in Mathematical Physics. Springer Nature, 2022. <a href="https://doi.org/10.1007/s00220-021-04280-y">https://doi.org/10.1007/s00220-021-04280-y</a>. R. Killip, M. Vişan, Communications in Mathematical Physics 389 (2022) 1445–1473. 220432026-06-19T07:46:39Z2026-06-25T07:41:51Z