Resonance in the collision of two discrete intrinsic localized excitations

被引：25

作者：

Cai, D ^{[1
]}

Bishop, AR

Gronbech-Jensen, N

机构：

[1] Univ Calif Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA

[2] Univ Calif Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM 87545 USA

来源：

PHYSICAL REVIEW E | 1997年 / 56卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.56.7246

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

The collision dynamics of two solitonlike localized excitations in a nonintegrable discrete (1 x 1)-dimensional nonlinear Schrodinger system is studied numerically. It is demonstrated that the collision dynamics exhibits a complicated resonance structure of interlacing bound-state regions and escape regions of localized excitations with a sensitive dependence on the incoming energies of the localized excitations. We emphasize that this resonance is a combined effect of discreteness and nonintegrability of the system and contrast it with topological kink-antikink collisions in phi(4) and related systems.

引用

页码：7246 / 7252

页数：7

共 38 条

[1]

Ablowitz M.J., 1991, SOLITONS NONLINEAR E

[2] Exponential stability of breathers in Hamiltonian networks of weakly coupled oscillators [J].

Bambusi, D .

NONLINEARITY, 1996, 9 (02) :433-457

[3] 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

[4] NUMERICAL MEASUREMENTS OF THE SHAPE AND DISPERSION-RELATION FOR MOVING ONE-DIMENSIONAL ANHARMONIC LOCALIZED MODES [J].

BICKHAM, SR ;

SIEVERS, AJ ;

TAKENO, S .

PHYSICAL REVIEW B, 1992, 45 (18) :10344-10347

[5]

BISHOP AR, 1993, PHYSICA D, V66

[6] 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

[7] NEURAL NETWORKS, LATTICE INSTANTONS, AND THE ANTI-INTEGRABLE LIMIT [J].

BRESSLOFF, PC .

PHYSICAL REVIEW LETTERS, 1995, 75 (05) :962-965

[8]

Burlakov V. M., 1991, Soviet Physics - JETP, V72, P854

[9]

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

[10] LOCALIZED VIBRATIONS OF HOMOGENEOUS ANHARMONIC CHAINS [J].

BURLAKOV, VM ;

KISELEV, SA ;

RUPASOV, VI .

PHYSICS LETTERS A, 1990, 147 (2-3) :130-134

← 1 2 3 4 →