Open AccessNew foldons and their elastic interactions in the (2+1)-dimensional modified Veselov-Novikov system
Author(s) -
Shoufeng Shen,
Jun Zhang
Publication year - 2006
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.55.1548
Subject(s) - novikov self consistency principle , nonlinear system , variable (mathematics) , mathematical analysis , mathematics , classical mechanics , physics , pure mathematics , quantum mechanics
By using Mathematica and multi-linear variable separation(MLVS) approach which is based on the Bcklund 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.