GAUSS PROCEDURE FOR THE CONSTRUCTION OF SELF-LOCALIZED SOLITONS IN DISCRETE-SYSTEMS

被引：16

作者：

DUSI, R

WAGNER, M

机构：

[1] Institut für Theoretische Physik III, Universität Stuttgart, 70550 Stuttgart

来源：

PHYSICAL REVIEW B | 1995年 / 51卷 / 22期

关键词：

D O I：

10.1103/PhysRevB.51.15847

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Recently, stable self-localized solitons (SLS) have been found in the Fermi-Pasta-Ulam (FPU) chain. In the present investigation a construction procedure for SLS solutions is presented. It is based on two ingredients: (a) the exploitation of the harmonic wing property, and (b) a Gaussian step-by-step optimization starting from the wing. The procedure allows for highly accurate approximate solutions, which already surpass in the one-frequency version the accuracy of previous solutions. The method is illustrated for the quartic FPU chain, but it is not restricted to this type of anharmonicity. © 1995 The American Physical Society.

引用

页码：15847 / 15855

页数：9

共 18 条

[1] INTRINSIC LOCALIZED MODES IN A MONATOMIC LATTICE WITH WEAKLY ANHARMONIC NEAREST-NEIGHBOR FORCE-CONSTANTS [J].

BICKHAM, SR ;

SIEVERS, AJ .

PHYSICAL REVIEW B, 1991, 43 (03) :2339-2346

[2] ENERGY-TRANSPORT IN ONE-DIMENSIONAL AND 2-DIMENSIONAL ANHARMONIC LATTICES WITH ISOTOPIC DISORDER [J].

BOURBONNAIS, R ;

MAYNARD, R .

PHYSICAL REVIEW LETTERS, 1990, 64 (12) :1397-1400

[3]

BURLAKOV VM, 1990, SOLID STATE COMMUN, V74, P327, DOI 10.1016/0038-1098(90)90496-X

[4] ABSENCE OF LOCALIZATION IN CERTAIN STATICALLY DISORDERED LATTICES IN ANY SPATIAL DIMENSION [J].

DUNLAP, DH ;

KUNDU, K ;

PHILLIPS, P .

PHYSICAL REVIEW B, 1989, 40 (16) :10999-11006

[5]

DUSI R, IN PRESS PHILOS MA B

[6]

Fermi E., 1965, COLLECTED WORKS ENRI, V2, P978

[7]

Gauss K. F., 1829, J REINE ANGEW MATH, V4, P232

[8] ANHARMONIC GAP MODES IN A PERFECT ONE-DIMENSIONAL DIATOMIC LATTICE FOR STANDARD 2-BODY NEAREST-NEIGHBOR POTENTIALS [J].

KISELEV, SA ;

BICKHAM, SR ;

SIEVERS, AJ .

PHYSICAL REVIEW B, 1993, 48 (18) :13508-13511

[9]

Kovalev A. S., 1993, Physics of the Solid State, V35, P356

[10] ASYMPTOTIC SOLUTIONS FOR LOCALIZED VIBRATIONAL-MODES IN STRONGLY ANHARMONIC PERIODIC-SYSTEMS [J].

PAGE, JB .

PHYSICAL REVIEW B, 1990, 41 (11) :7835-7838

← 1 2 →