SOLITONS IN DISCRETE LATTICES

被引：13

作者：

DRUZHININ, OA ^{[1
]}

OSTROVSKII, LA ^{[1
]}

机构：

[1] ACAD SCI USSR,INST APPL PHYS,GORKI 603600,USSR

来源：

PHYSICS LETTERS A | 1991年 / 160卷 / 04期

关键词：

D O I：

10.1016/0375-9601(91)90665-U

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Solitary waves in one- and two-dimensional lattices with quadratic nonlinearity are considered both analytically and numerically. Solutions in the form of a soliton with large amplitude and velocity proportional to its square root are derived. It is found that the property of self-similarity of solitons is changed due to discreteness in comparison with the continuous case. Cylindrical soliton fronts propagating through quadratic and hexagonal lattices are also calculated, the former causing anisotropical distortion of the fronts even in the continuum limit, the latter remaining isotropic in this limit.

引用

页码：357 / 362

页数：6

共 7 条

[1]

BATTEH JH, 1978, SOLITONS ACTION, P269

[2]

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

[3] LATTICE-GAS AUTOMATA FOR THE NAVIER-STOKES EQUATION [J].