Collapse in coupled nonlinear Schrodinger equations: Sufficient conditions and applications

被引：13

作者：

Prytula, Vladyslav ^{[1
,2
]}

Vekslerchik, Vadym ^{[1
,2
,3
]}

Perez-Garcia, Victor M. ^{[1
,2
]}

机构：

[1] Univ Castilla La Mancha, Dept Matemat, E-13071 Ciudad Real, Spain

[2] Univ Castilla La Mancha, Inst Matemat Aplicada Ciencia & Ingn, ETS Ingn Ind, E-13071 Ciudad Real, Spain

[3] Natl Acad Sci Ukraine, A Ya Usikov Inst Radiophys & Elect, UA-61085 Kharkov, Ukraine

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2009年 / 238卷 / 15期

关键词：

Nonlinear Schrodinger equations; Boson-Fermion mixtures; Moment methods; Solitons; Nonlinear matter waves; BOSE-EINSTEIN CONDENSATION; INSTABILITY; VECTORIAL; DYNAMICS; WAVES;

D O I：

10.1016/j.physd.2008.07.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study blow-up phenomena in general coupled nonlinear Schrodinger equations with different dispersion coefficients. We find sufficient conditions for blow-up and for the existence of global solutions. We discuss several applications of our results to heteronuclear multispecies Bose-Einstein condensates and to degenerate boson-fermion mixtures. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：1462 / 1467

页数：6

共 37 条

[1]

[Anonymous], 2000, NONLINEAR SCHRODINGE

[2] Modulational instability, solitons and periodic waves in a model of quantum degenerate boson-fermion mixtures [J].

Belmonte-Beitia, Juan ;

Perez-Garcia, Victor M. ;

Vekslerchik, Vadym .

CHAOS SOLITONS & FRACTALS, 2007, 32 (04) :1268-1277

[3] Soliton stability versus collapse [J].

Bergé, L .

PHYSICAL REVIEW E, 2000, 62 (03) :R3071-R3074

[4] Self-focusing dynamics of nonlinear waves in media with parabolic-type inhomogeneities [J].

Berge, L .

PHYSICS OF PLASMAS, 1997, 4 (05) :1227-1237

[5] Wave collapse in physics: principles and applications to light and plasma waves [J].

Berge, L .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1998, 303 (5-6) :259-370

[6] Coalescence and instability of copropagating nonlinear waves [J].

Berge, L .

PHYSICAL REVIEW E, 1998, 58 (05) :6606-6625

[7]

BESPALOV VI, 1966, PISMA ESKP TEOR FIZ, V11, P307

[8] Numerical study of self-focusing solutions to the Schrodinger-Debye system [J].

Besse, C ;

Bidégaray, B .

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2001, 35 (01) :35-55

[9] Numerical study of elliptic-hyperbolic Davey-Stewartson system: Dromions simulation and blow-up [J].

Besse, C ;

Bruneau, CH .

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 1998, 8 (08) :1363-1386

[10] Bose-Einstein condensation of lithium: Observation of limited condensate number [J].

Bradley, CC ;

Sackett, CA ;

Hulet, RG .

PHYSICAL REVIEW LETTERS, 1997, 78 (06) :985-989

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