FINITE DIMENSIONAL GLOBAL ATTRACTOR FOR A CLASS OF TWO-COUPLED NONLINEAR FRACTIONAL SCHRO spacing diaeresis DINGER EQUATIONS

被引：0

作者：

Alouini, Brahim ^{[1
,2
]}

机构：

[1] Univ Monastir, Fac Sci, Res Lab Anal Probabil & Fractals, Monastir, Tunisia

[2] IPEI Monastir, Ibn El Jazzar St, Monastir 5019, Tunisia

来源：

EVOLUTION EQUATIONS AND CONTROL THEORY | 2022年 / 11卷 / 02期

关键词：

Schrodinger equation; asymptotic behavior; global attractor; fractal dimension; SCHRODINGER-EQUATIONS; EVOLUTION-EQUATIONS; BEHAVIOR; SOLITONS; SYSTEM;

D O I：

10.3934/eect.2021013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the current issue, we consider a general class of two coupled weakly dissipative fractional Schro center dot dinger-type equations. We will prove that the asymptotic dynamics of the solutions for such NLS system will be described by the existence of a regular compact global attractor in the phase space that has finite fractal dimension.

引用

页码：559 / 581

页数：23

共 37 条

[1] A note on the finite fractal dimension of the global attractors for dissipative nonlinear Schrodinger-type equations [J].

Alouini, Brahim .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (01) :91-103

[2] FINITE DIMENSIONAL GLOBAL ATTRACTOR FOR A BOSE-EINSTEIN EQUATION IN A TWO DIMENSIONAL UNBOUNDED DOMAIN [J].

Alouini, Brahim .

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2015, 14 (05) :1781-1801

[3] ATTRACTORS OF PARTIAL-DIFFERENTIAL EVOLUTION-EQUATIONS IN AN UNBOUNDED DOMAIN [J].

BABIN, AV ;

VISHIK, MI .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1990, 116 :221-243

[4]

Ball JM, 2004, DISCRETE CONT DYN-A, V10, P31

[5] PROPAGATION OF NONLINEAR WAVE ENVELOPES [J].

BENNEY, DJ ;

NEWELL, AC .

JOURNAL OF MATHEMATICS AND PHYSICS, 1967, 46 (02) :133-&

[6] The attractor of the dissipative coupled fractional Schrodinger equations [J].

Cheng, Ming .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2014, 37 (05) :645-656

[7] Periodic waves for a system of coupled, higher order nonlinear Schrodinger equations with third order dispersion [J].

Chow, KW .

PHYSICS LETTERS A, 2003, 308 (5-6) :426-431

[8]

Chueshov I. D., 2002, U LECT CONT MATH, V19

[9]

Chueshov I, 2008, MEM AM MATH SOC, V195, pVIII

[10] Hitchhiker's guide to the fractional Sobolev spaces [J].

Di Nezza, Eleonora ;

Palatucci, Giampiero ;

Valdinoci, Enrico .

BULLETIN DES SCIENCES MATHEMATIQUES, 2012, 136 (05) :521-573

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