Asymptotic stability of solitary waves for the 1D cubic-quintic Schr\"odinger equation with no internal mode

DOI10.2140/PMP.2022.3.839zbMath1510.35310arXiv2110.01492MaRDI QIDQ6379330

Yvan Martel

Publication date: 4 October 2021

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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