TY - JOUR
T1 - Scattering of solutions to the fourth-order nonlinear Schrödinger equation
AU - Hayashi, Nakao
AU - Mendez-Navarro, Jesus A.
AU - Naumkin, Pavel I.
PY - 2016/6/1
Y1 - 2016/6/1
N2 - 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.
AB - 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.
KW - Fourth-order nonlinear Schrödinger equation
KW - Large time asymptotics
UR - http://www.scopus.com/inward/record.url?scp=84928615781&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84928615781&partnerID=8YFLogxK
U2 - 10.1142/S0219199715500352
DO - 10.1142/S0219199715500352
M3 - Article
AN - SCOPUS:84928615781
SN - 0219-1997
VL - 18
JO - Communications in Contemporary Mathematics
JF - Communications in Contemporary Mathematics
IS - 3
M1 - 1550035
ER -