Abstract
We consider the Cauchy problem for the fourth-order nonlinear Schrödinger equation i{iσtu + 1/4σ4xu=|u|p-1u,t>0,xεR,u(0,x)=u0(x),xεR, where ε C, > 4. We introduce the factorization for the free evolution group to prove the large time asymptotics of solutions.
Original language | English |
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Article number | 1550035 |
Journal | Communications in Contemporary Mathematics |
Volume | 18 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2016 Jun 1 |
Externally published | Yes |
Keywords
- Fourth-order nonlinear Schrödinger equation
- Large time asymptotics
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics