INTERACTION OF 2-DIMENSIONAL LOCALIZED SOLUTIONS NEAR A WEAKLY INVERTED BIFURCATION

被引：66

作者：

DEISSLER, RJ

BRAND, HR

机构：

[1] UNIV CALIF LOS ALAMOS SCI LAB, CTR NONLINEAR STUDIES, LOS ALAMOS, NM 87545 USA

[2] UNIV ESSEN GESAMTHSCH, FACHBEREICH PHYS, W-4300 ESSEN 1, GERMANY

来源：

PHYSICAL REVIEW A | 1991年 / 44卷 / 06期

关键词：

D O I：

10.1103/PhysRevA.44.R3411

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We study the interaction of two-dimensional (2D) solutions as they arise for the envelope equations for a subcritical bifurcation to traveling waves. We show that these 2D localized solutions can collide and reemerge unchanged in size and shape after the collision in contrast to what is found in 2D soliton systems. Various other types of behavior arise as the impact parameter and the cross coupling between the waves are varied. We point out that these phenomena should be observable experimentally for hydrodynamic instabilities in anisotropic liquids such as nematic liquid crystals.

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页码：R3411 / R3414

页数：4

相关论文

共 16 条

[1] NONLINEAR-EVOLUTION EQUATIONS OF PHYSICAL SIGNIFICANCE [J].

ABLOWITZ, MJ ;

KAUP, DJ ;

NEWELL, AC ;

SEGUR, H .

PHYSICAL REVIEW LETTERS, 1973, 31 (02) :125-127

[2] ON ELECTRICALLY DRIVEN PATTERN-FORMING INSTABILITIES IN PLANAR NEMATICS [J].

BODENSCHATZ, E ;

ZIMMERMANN, W ;

KRAMER, L .

JOURNAL DE PHYSIQUE, 1988, 49 (11) :1875-1899

[3] INTERACTION OF LOCALIZED SOLUTIONS FOR SUBCRITICAL BIFURCATIONS [J].

BRAND, HR ;

DEISSLER, RJ .

PHYSICAL REVIEW LETTERS, 1989, 63 (26) :2801-2804

[4] BENJAMIN-FEIR TURBULENCE IN CONVECTIVE BINARY FLUID MIXTURES [J].

BRAND, HR ;

LOMDAHL, PS ;

NEWELL, AC .

PHYSICA D, 1986, 23 (1-3) :345-361

[5] EVOLUTION OF THE ORDER PARAMETER IN SITUATIONS WITH BROKEN ROTATIONAL SYMMETRY [J].

BRAND, HR ;

LOMDAHL, PS ;

NEWELL, AC .

PHYSICS LETTERS A, 1986, 118 (02) :67-73

[6] THE EFFECT OF NONLINEAR GRADIENT TERMS ON LOCALIZED STATES NEAR A WEAKLY INVERTED BIFURCATION [J].

DEISSLER, RJ ;

BRAND, HR .

PHYSICS LETTERS A, 1990, 146 (05) :252-255

[7] GENERATION OF COUNTERPROPAGATING NONLINEAR INTERACTING TRAVELING WAVES BY LOCALIZED NOISE [J].

DEISSLER, RJ ;

BRAND, HR .

PHYSICS LETTERS A, 1988, 130 (4-5) :293-298

[8] THE THERMAL OSCILLATORY INSTABILITY IN A HOMEOTROPIC NEMATIC - AN INVERSE BIFURCATION [J].

DUBOISVIOLETTE, E ;

GABAY, M .

JOURNAL DE PHYSIQUE, 1982, 43 (09) :1305-1317

[9] DROMIONS AND A BOUNDARY-VALUE PROBLEM FOR THE DAVEY-STEWARTSON-1 EQUATION [J].

FOKAS, AS ;

SANTINI, PM .

PHYSICA D-NONLINEAR PHENOMENA, 1990, 44 (1-2) :99-130

[10] COHERENT STRUCTURES IN MULTIDIMENSIONS [J].

FOKAS, AS ;

SANTINI, PM .

PHYSICAL REVIEW LETTERS, 1989, 63 (13) :1329-1333