Origin of multikinks in dispersive nonlinear systems

被引：23

作者：

Champneys, A ^{[1
]}

Kivshar, YS

机构：

[1] Univ Bristol, Dept Engn Math, Bristol BS8 1TR, Avon, England

[2] Australian Natl Univ, Ctr Opt Sci, Canberra, ACT 0200, Australia

来源：

PHYSICAL REVIEW E | 2000年 / 61卷 / 03期

关键词：

D O I：

10.1103/PhysRevE.61.2551

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：

We develop the analytical theory of multikinks for strongly dispersive nonlinear systems, considering the examples of the weakly discrete sine-Gordon model and the generalized Frenkel-Kontorova model with a piecewise parabolic potential. We reveal that there are no 2 pi kinks for this model, but there exist discrete sets of 2 pi N kinks for all N>1. We also show their bifurcation structure in driven damped systems.

引用

页码：2551 / 2554

页数：4

共 17 条

[1] On multikink states described by the nonlocal sine-Gordon equation [J].

Alfimov, GL ;

Korolev, VG .

PHYSICS LETTERS A, 1998, 246 (05) :429-435

[2]

BOGDAN MM, 1994, NATO ADV SCI INST SE, V329, P373

[3] Hysteresis in the underdamed driven Frenkel-Kontorova model [J].

Braun, OM ;

Bishop, AR ;

Roder, J .

PHYSICAL REVIEW LETTERS, 1997, 79 (19) :3692-3695

[4]

Braun OM, 1997, PHYS REV LETT, V78, P1295, DOI 10.1103/PhysRevLett.78.1295

[5] Nonlinear dynamics of the Frenkel-Kontorova model [J].

Braun, OM ;

Kivshar, YS .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1998, 306 (1-2) :1-108

[6]

Champneys A. R., 1993, ADV COMPUT MATH, V1, P81, DOI [10.1007/BF02070822, DOI 10.1007/BF02070822]

[7] Homoclinic orbits in reversible systems and their applications in mechanics, fluids and optics [J].

Champneys, AR .

PHYSICA D-NONLINEAR PHENOMENA, 1998, 112 (1-2) :158-186

[8]

DOEDEL EJ, AUTO97

[9] SIMPLE-MODELS OF NONLINEAR DNA DYNAMICS [J].

GAETA, G ;

REISS, C ;

PEYRARD, M ;

DAUXOIS, T .

RIVISTA DEL NUOVO CIMENTO, 1994, 17 (04) :1-48

[10] Homotopy classes for stable connections between Hamiltonian saddle-focus equilibria [J].

Kalies, WD ;

Kwapisz, J ;

VanderVorst, RCAM .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1998, 193 (02) :337-371

← 1 2 →