Abstract
We consider the Cauchy problem for the third-order nonlinear Schrödinger equation where H = F-1 iξ ǀξǀ-1 F and F is the Fourier transform. Our purpose in this paper is to prove the large time asymptoitic behavior of solutions for the defocusing case λ > 0 with a logarithmic correction under the non zero mass condition ∫u0 (x) dx ≠ 0
Original language | English |
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Pages (from-to) | 1573-1597 |
Number of pages | 25 |
Journal | Mathematical Methods in the Applied Sciences |
Volume | 40 |
Issue number | 5 |
DOIs | |
Publication status | Published - 2017 Mar 30 |
Externally published | Yes |
Keywords
- Third-order nonlinear Schrödinger equation
- large time asymptotics
ASJC Scopus subject areas
- Mathematics(all)
- Engineering(all)