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- W3183142496 abstract "We consider the Cauchy problem for the higher-order nonlinear Schrodinger equation begin{gather} label{A} ipartial_{t}u+frac{1}{2}partial_{x}^{2}u-frac{1}{4}partial_{x}^{4} u=u^{3},text{ }t>0,text{ }xinmathbb{R}, uleft( 0,xright) =u_{0}left( xright) ,text{ }xinmathbb{R.} notag end{gather} The aim of the present paper is prove the global existence of solutions to (0.1) if the initial data $u_{0}inmathbf{H}^{1}capmathbf{H}^{0,1}$. Also we find the large time asymptotics of solutions." @default.
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- W3183142496 date "2021-07-01" @default.
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- W3183142496 title "Large time asymptotic behavior of solutions to higher order nonlinear Schrödinger equation" @default.
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