EXISTENCE OF SOLITONS FOR DISCRETE NONLINEAR SCHRODINGER EQUATIONS

被引：0

作者：

Shi, Haiping ^{[1
]}

Zhang, Yuanbiao ^{[2
]}

机构：

[1] Guangdong Construct Polytech, Modern Business & Management Dept, Guangzhou 510440, Guangdong, Peoples R China

[2] Jinan Univ, Packaging Engn Inst, Zhuhai 519070, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年

关键词：

Existence; soliton; discrete nonlinear Schrodinger equation; critical point theory; 2ND-ORDER DIFFERENCE-EQUATIONS; HOMOCLINIC ORBITS; GAP SOLITONS; SUBHARMONIC SOLUTIONS; HAMILTONIAN-SYSTEMS; BEHAVIOR; LATTICES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the Mountain Pass Lemma, we establish sufficient conditions for the existence of solitons for the discrete nonlinear Schrodinger equations.

引用

页数：11

共 34 条

[1]

[Anonymous], 2003, Optical Solitons

[2]

Cai X.C., 2008, ADV DIFFER EQU-NY, V2008, P1, DOI DOI 10.1155/2008/247071

[3] Infinitely many solutions for Schrodinger-Maxwell equations with indefinite sign subquadratic potentials [J].

Chen, Peng ;

Tian, Cai .

APPLIED MATHEMATICS AND COMPUTATION, 2014, 226 :492-502

[4] Existence of homoclinic solutions for some second-order discrete Hamiltonian systems [J].

Chen, Peng ;

Tang, X. H. .

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2013, 19 (04) :633-648

[5]

Chen P, 2012, ELECTRON J QUAL THEO, P1

[6] Existence of homoclinic orbits for 2nth-order nonlinear difference equations containing both many advances and retardations [J].

Chen, Peng ;

Tang, Xianhua .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 381 (02) :485-505

[7] Existence of infinitely many homoclinic orbits for fourth-order difference systems containing both advance and retardation [J].

Chen, Peng ;

Tang, X. H. .

APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (09) :4408-4415

[8] Discretizing light behaviour in linear and nonlinear waveguide lattices [J].

Christodoulides, DN ;

Lederer, F ;

Silberberg, Y .

NATURE, 2003, 424 (6950) :817-823

[9] Discrete breathers - Advances in theory and applications [J].

Flach, Sergej ;

Gorbach, Andrey V. .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2008, 467 (1-3) :1-116

[10] Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices [J].

Fleischer, JW ;

Segev, M ;

Efremidis, NK ;

Christodoulides, DN .

NATURE, 2003, 422 (6928) :147-150

← 1 2 3 4 →