Open AccessComplex wave solutions and localized excitations of (2+1)-dimensional korteweg-de Vries system
Author(s) -
Wenling Zhang,
Song-Ya Ma,
Jingjing Chen
Publication year - 2014
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.63.080506
Subject(s) - physics , maple , korteweg–de vries equation , computation , variable (mathematics) , mathematical physics , symbolic computation , mathematical analysis , quantum mechanics , mathematics , nonlinear system , algorithm , botany , biology
With the help of the symbolic computation system Maple and Riccati equation (ξ’=a0+a1ξ+a2ξ2) expansion method and a variable separation method, some complex wave solutions with q=C1x+C2y+C3t+R(x,y,t) of the (2+1)-dimensional Korteweg-de Vries system is derived. Based on the derived solitary wave solution, some novel complex wave localized excitations such as complex wave fusion and complex wave annihilation are investigated.