KDV TYPE ASYMPTOTICS FOR SOLUTIONS TO HIGHER-ORDER NONLINEAR SCHRODINGER EQUATIONS

被引：0
|
作者：
Naumkin, Pavel, I [1 ]
Sanchez-Suarez, Isahi [2 ]
机构：
[1] UNAM, Ctr Ciencias Matemat, Campus Morelia,AP 61-3 Xangari, Morelia 58089, Michoacan, Mexico
[2] Univ Politecn Uruapan, Uruapan 60210, Michoacan, Mexico
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年
关键词：
Nonlinear Schrodinger equation; large time asymptotic behavior; critical nonlinearity; self-similar solutions; LONG-TIME BEHAVIOR; CAUCHY-PROBLEM; DISPERSION; EXISTENCE; SOLITONS; GAIN;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the Cauchy problem for the higher-order nonlinear Schrodinger equation i partial derivative(t)u - a/3 vertical bar partial derivative(x)vertical bar(3)u - b/4 partial derivative(4)(x)u = lambda i partial derivative(x) (vertical bar u vertical bar(2)u), (t, x) is an element of R+ x R, u(0, x) = u(0)(x), x is an element of R, where a, b > 0, vertical bar partial derivative(x)vertical bar(alpha) = F-1 vertical bar xi vertical bar F-alpha and F is the Fourier transformation. Our purpose is to study the large time behavior of the solutions under the non-zero mass condition integral u(0)(x)dx not equal 0.
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页数：34
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