Open AccessBidirectional solitary wave solutions and soliton solutions for two nonlinear ev olution equations
Author(s) -
Guiqiong Xu,
Zhibin Li
Publication year - 2003
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.52.1848
Subject(s) - soliton , physics , nonlinear system , homogeneous , classical mechanics , maple , mathematical analysis , mathematics , quantum mechanics , statistical physics , botany , biology
The homogeneous balance method for constructing solitary wave solutions and soliton solutions is further developed on obtaining quasi-solution by using step-by- step principle.The main advantage of the extended approach is to avoid the probl em of “intermediate expression swell”.The effectiveness of the method is demon strated by application to the generalized Boussinesq equation and the bidirectio nal Kaup-Kupershmidt equation.The one-soliton,two-soliton and three-soliton solutions with multipe collisions are derived for these two equations with the assistance of Maple.