Non-homogeneous initial boundary value problems and small data scattering of the Hirota equations posed on the half line

DOI10.1088/1361-6544/ad7b98MaRDI QIDQ6623085

Shenghao Li, Deqin Zhou, Chun-Lai Mu

Publication date: 23 October 2024

Published in: Nonlinearity (Search for Journal in Brave)

zbMATH Keywords

scatteringwell-posednessinitial boundary value problemHirota equationscomplex-valued KdV

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Soliton solutions (35C08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

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