Traveling waves for a nonlinear Schrödinger system with quadratic interaction
DOI10.1007/s00208-022-02555-warXiv2209.05305OpenAlexW4313197665MaRDI QIDQ6191271
Noriyoshi Fukaya, Masayuki Hayashi, Takahisa Inui
Publication date: 9 February 2024
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2209.05305
Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) Traveling wave solutions (35C07) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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