ON LONG TIME BEHAVIOR OF SOLUTIONS OF THE SCHRODINGER-KORTEWEG-DE VRIES SYSTEM

被引：3

作者：

Linares, Felipe ^{[1
]}

Mendez, Argenis J. ^{[2
]}

机构：

[1] IMPA, Estr Dona Castorina 110, BR-22460320 Rio De Janeiro, Brazil

[2] Univ Chile, Ctr Modelamiento Matemat, Santiago, Chile

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2021年 / 53卷 / 04期

关键词：

asymptotic behavior; decay of solutions; Schrodinger-Korteweg-de Vries; INTERNAL GRAVITY-WAVE; WELL-POSEDNESS; SOLITARY WAVES; CAUCHY-PROBLEM; BOUND-STATES; KDV; STABILITY; EXISTENCE; EQUATION; BREATHERS;

D O I：

10.1137/20M137553X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are concerned with the decay of long time solutions of the IVP associated to the Schrodinger-Korteweg-de Vries system. We use recent techniques in order to show that solutions of this system decay to zero in the energy space. The result is independent of the integrability of the equations involved, and it does not require any size assumptions.

引用

页码：3838 / 3855

页数：18

共 50 条

[1] Rough solutions for the periodic Schrodinger-Korteweg-de Vries system
Arbieto, A.
Corcho, A. J.
Matheus, C.
JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 230 (01) : 295 - 336
[2] THE CAUCHY PROBLEM OF THE SCHRODINGER-KORTEWEG-DE VRIES SYSTEM
Wu, Yifei
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2010, 23 (5-6) : 569 - 600
[3] The Schrodinger-Korteweg-de Vries system on the half-line
Himonas, A. Alexandrou
Yan, Fangchi
APPLIED NUMERICAL MATHEMATICS, 2024, 199 : 32 - 58
[4] On the well-posedness of the Schrodinger-Korteweg-de Vries system
Guo, Zihua
Wang, Yuzhao
JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 249 (10) : 2500 - 2520
[5] Well-posedness for the Schrodinger-Korteweg-De Vries system
Corcho, A. J.
Linares, F.
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 359 (09) : 4089 - 4106
[6] Existence and bifurcation of nontrivial solutions for the coupled nonlinear Schrodinger-Korteweg-de Vries system
Geng, Qiuping
Liao, Mian
Wang, Jun
Xiao, Lu
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2020, 71 (01):
[7] Existence of multiple nontrivial solutions of the nonlinear Schrodinger-Korteweg-de Vries type system
Geng, Qiuping
Wang, Jun
Yang, Jing
ADVANCES IN NONLINEAR ANALYSIS, 2022, 11 (01) : 636 - 654
[8] Adiabatic Evolution of Coupled Waves for a Schrodinger-Korteweg-de Vries System
Abou Salem, W.
MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2012, 7 (02) : 1 - 12
[9] THE CAUCHY PROBLEM FOR A SCHRODINGER-KORTEWEG-DE VRIES SYSTEM WITH ROUGH DATA
Pecher, Hartmut
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2005, 18 (10) : 1147 - 1174
[10] HOMOTOPY PERTURBATION METHOD FOR SOLVING A SYSTEM OF SCHRODINGER-KORTEWEG-DE VRIES EQUATIONS
Golmankhaneh, Alireza K.
Golmankhaneh, Ali K.
Baleanu, Dumitru
ROMANIAN REPORTS IN PHYSICS, 2011, 63 (03) : 609 - 623

← 1 2 3 4 5 →