Folded Solitary Waves and Foldons in (2+1) Dimensions*

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© International Academic Publishers
, , Citation Tang Xiao-Yan and Lou Sen-Yue 2003 Commun. Theor. Phys. 40 62 DOI 10.1088/0253-6102/40/1/62

0253-6102/40/1/62

Abstract

A general type of localized excitations, folded solitary waves and foldons, is defined and studied both analytically and graphically. The folded solitary waves and foldons may be "folded" in quite complicated ways and possess quite rich structures and abundant interaction properties. The folded phenomenon is quite universal in the real natural world. The folded solitary waves and foldons are obtained from a quite universal formula and the universal formula is valid for some quite universal (2+1)-dimensional physical models. The "universal" formula is also extended to a more general form with many more independent arbitrary functions.

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Footnotes

  • The project supported by the National Outstanding Youth Foundation of China (No. 19925522), National Natural Science Foundation of China (No. 90203001), and the Research Fund for the Doctoral Program of Higher Education of China (Grant No. 2000024832)

10.1088/0253-6102/40/1/62