A Numerical Study of Weak Lateral Dispersion in Discrete and Continuum Models

被引：1

作者：

Cisneros-Ake, Luis A. ^{[1
]}

Minzoni, Antonmaria A. ^{[2
]}

机构：

[1] Inst Politecn Nacl, Dept Math, ESFM, Unidad Profes Adolfo Lopez Mateos, Edificio 9, Mexico City 07738, DF, Mexico

[2] Univ Nacl Autonoma Mexico, FENOMEC, Dept Math & Mech, IIMAS, Mexico City 01000, DF, Mexico

来源：

QUODONS IN MICA: NONLINEAR LOCALIZED TRAVELLING EXCITATIONS IN CRYSTALS | 2015年 / 221卷

关键词：

SOLITONS;

D O I：

10.1007/978-3-319-21045-2_5

中图分类号：

O7 [晶体学];

学科分类号：

0702 ; 070205 ; 0703 ; 080501 ;

摘要：

We consider two dimensional discrete lattices with anharmonic interactions and weak transversal dispersion. We study the propagation of a continuum Kadomtsev-Petviashvili I lump and its semi discrete analogue and show the formation of caustics, due to the emission of linear waves, in both cases. We perform numerical experiments in different settings. We show how impurities and prestress can produce new lumps in analogy with one dimensional soliton formation in near critical flows.

引用

页码：129 / 145

页数：17

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