Title
The physical structures of solutions for generalized K(n,n) and BBM equations with variable coefficients
Abstract
The generalized nonlinear K(n,n) and BBM equations with variable coefficients are investigated under suitable conditions. Applying the auxiliary differential equation techniques, we derive various explicit travelling wave solutions with different physical structures for the equations. It is shown that the solutions include several existing solutions and the variable coefficients of the derivative terms of the equations determine the physical structures of the solutions.
Year
DOI
Venue
2010
10.1016/j.mcm.2010.05.007
Mathematical and Computer Modelling
Keywords
Field
DocType
physical structure,nonlinear equations,derivative term,bbm equation,different physical structure,auxiliary equation method,generalized nonlinear k,various explicit travelling wave,auxiliary differential equation technique,suitable condition,explicit solutions,variable coefficient,existing solution,symbolic computation system,generalized k,symbolic computation,nonlinear equation
Differential equation,Mathematical optimization,Nonlinear system,Traveling wave,Mathematical analysis,Symbolic computation,Mathematics
Journal
Volume
Issue
ISSN
52
5-6
Mathematical and Computer Modelling
Citations 
PageRank 
References 
2
0.46
9
Authors
3
Name
Order
Citations
PageRank
Xiumei Lv171.15
Shaoyong Lai2123.43
Yonghong Wu321234.70