KINKS AND SOLITONS IN THE GENERALIZED GINZBURG-LANDAU EQUATION

被引：175

作者：

MALOMED, BA ^{[1
]}

NEPOMNYASHCHY, AA ^{[1
]}

机构：

[1] ACAD SCI USSR, INST CONTINUOUS MEDIA MECH, URAL BRANCH, PERM 614061, USSR

来源：

PHYSICAL REVIEW A | 1990年 / 42卷 / 10期

关键词：

D O I：

10.1103/PhysRevA.42.6009

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We consider the simplest dynamical model of the Ginzburg-Landau (GL) type with a trivial state that is stable with respect to infinitesimal disturbances but may be triggered into a traveling-wave (TW) state by a finite disturbance. Treating the dispersion coefficients in the GL model as small parameters, we construct a kink solution interpolating between a TW and a trivial state. We find the equilibrium velocity of the kink and demonstrate that it uniquely selects a wave number of the TW. Next we find analytically a stable kink-antikink bound state (a soliton). In particular, the size of the soliton is found in an explicit form. We also discuss possible implementations of the soliton in particular physical systems. © 1990 The American Physical Society.

引用

页码：6009 / 6014

页数：6

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