A numerical study of weak lateral dispersion in discrete and continuum models

Luis A. Cisneros-Ake; Antonmaria A. Minzoni

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

A numerical study of weak lateral dispersion in discrete and continuum models

Luis A. Cisneros-Ake, Antonmaria A. Minzoni

Escuela Superior de Física y Matemáticas (ESFM)

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Abstract

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.

Translated title of the contribution	Un estudio numérico de dispersión lateral débil en modelos discretos y continuos
Original language	English
Pages (from-to)	129-145
Number of pages	17
Journal	Springer Series in Materials Science
Volume	221
DOIs	https://doi.org/10.1007/978-3-319-21045-2_5
State	Published - 2015

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Y1 - 2015

N2 - 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.

AB - 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.

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U2 - 10.1007/978-3-319-21045-2_5

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

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JO - Springer Series in Materials Science

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ER -

A numerical study of weak lateral dispersion in discrete and continuum models

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