New localized excitations in (2+1)-dimensional integrable systems

S. Y. Lou; X. Y. Tang; X. M. Qian; C. L. Chen; J. Lin; S. L. Zhang

doi:10.1142/s0217984902004767

New localized excitations in (2+1)-dimensional integrable systems

S. Y. Lou, X. Y. Tang, X. M. Qian, C. L. Chen, J. Lin, S. L. Zhang

Shanghai Jiao Tong University

Research output: Contribution to journal › Short survey › peer-review

30 Scopus citations

Abstract

The new localized excitations of some (2+1)-dimensional integrable models obtained by the multi-linear variable separation approach (MLVSA) are reviewed. A universal formula with some arbitrary functions is obtained for some suitable physical quantities for various integrable models. By selecting the arbitrary functions appropriately, one may obtain abundant interesting localized excitations like the multi-dromions, lumps, ring solitons, breathers, instantons, peakons, compactons, foldons, chaotic and fractal patterns and so on. The localized excitations possess quite rich interaction behaviors.

Original language	English
Pages (from-to)	1075-1082
Number of pages	8
Journal	Modern Physics Letters B
Volume	16
Issue number	28-29
DOIs	https://doi.org/10.1142/s0217984902004767
State	Published - 20 Dec 2002
Externally published	Yes

Keywords

Integrable models
Integrable systems
Localized excitations
MLVSA

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10.1142/s0217984902004767

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abstract = "The new localized excitations of some (2+1)-dimensional integrable models obtained by the multi-linear variable separation approach (MLVSA) are reviewed. A universal formula with some arbitrary functions is obtained for some suitable physical quantities for various integrable models. By selecting the arbitrary functions appropriately, one may obtain abundant interesting localized excitations like the multi-dromions, lumps, ring solitons, breathers, instantons, peakons, compactons, foldons, chaotic and fractal patterns and so on. The localized excitations possess quite rich interaction behaviors.",

keywords = "Integrable models, Integrable systems, Localized excitations, MLVSA",

author = "Lou, \{S. Y.\} and Tang, \{X. Y.\} and Qian, \{X. M.\} and Chen, \{C. L.\} and J. Lin and Zhang, \{S. L.\}",

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T1 - New localized excitations in (2+1)-dimensional integrable systems

AU - Lou, S. Y.

AU - Tang, X. Y.

AU - Qian, X. M.

AU - Chen, C. L.

AU - Lin, J.

AU - Zhang, S. L.

PY - 2002/12/20

Y1 - 2002/12/20

N2 - The new localized excitations of some (2+1)-dimensional integrable models obtained by the multi-linear variable separation approach (MLVSA) are reviewed. A universal formula with some arbitrary functions is obtained for some suitable physical quantities for various integrable models. By selecting the arbitrary functions appropriately, one may obtain abundant interesting localized excitations like the multi-dromions, lumps, ring solitons, breathers, instantons, peakons, compactons, foldons, chaotic and fractal patterns and so on. The localized excitations possess quite rich interaction behaviors.

AB - The new localized excitations of some (2+1)-dimensional integrable models obtained by the multi-linear variable separation approach (MLVSA) are reviewed. A universal formula with some arbitrary functions is obtained for some suitable physical quantities for various integrable models. By selecting the arbitrary functions appropriately, one may obtain abundant interesting localized excitations like the multi-dromions, lumps, ring solitons, breathers, instantons, peakons, compactons, foldons, chaotic and fractal patterns and so on. The localized excitations possess quite rich interaction behaviors.

KW - Integrable models

KW - Integrable systems

KW - Localized excitations

KW - MLVSA

UR - https://www.scopus.com/pages/publications/0037147582

U2 - 10.1142/s0217984902004767

DO - 10.1142/s0217984902004767

M3 - 短篇评述

AN - SCOPUS:0037147582

SN - 0217-9849

VL - 16

SP - 1075

EP - 1082

JO - Modern Physics Letters B

JF - Modern Physics Letters B

IS - 28-29

ER -

New localized excitations in (2+1)-dimensional integrable systems

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Keywords

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