New foldons and their elastic interactions in the (2+1)-dimensional modified Veselov-Novikov system

Shen Shou-Feng; Zhang Jun

doi:10.7498/aps.55.1548

Abstract
By using Mathematica and multi-linear variable separation(MLVS) approach which is based on the Bcklund transformations, a new exact solution which include low dimensional arbitrary functions of the (2+1)-dimensional modified Veselov-Novikov system is obtained. Two new foldons are constructed and their entirely elastic interactions are considered. In additon, foldon and ghoston interactions are derived. MLVS approach is also extended to solve a new (1+1)-dimensional nonlinear system.

Keywords:
modified Veselov-Novikov system /

foldon /

elastic interaction /

variable separation
Authors and contacts
Shen Shou-Feng,

Zhang Jun

1.
浙江工业大学数学系，杭州 310014
References

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Vol. 55, Issue 4 - 2006-02-20

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New foldons and their elastic interactions in the (2+1)-dimensional modified Veselov-Novikov system

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New foldons and their elastic interactions in the (2+1)-dimensional modified Veselov-Novikov system

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