Premium
The discrete ( G ′/ G )‐expansion method applied to the differential‐difference Burgers equation and the relativistic Toda lattice system
Author(s) -
Aslan İsmail
Publication year - 2012
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20611
Subject(s) - toda lattice , mathematics , lattice (music) , burgers' equation , nonlinear system , differential equation , partial differential equation , mathematical analysis , mathematical physics , physics , quantum mechanics , integrable system , acoustics
We introduce the discrete ( G ′/ G )‐expansion method for solving nonlinear differential–difference equations (NDDEs). As illustrative examples, we consider the differential–difference Burgers equation and the relativistic Toda lattice system. Discrete solitary, periodic, and rational solutions are obtained in a concise manner. The method is also applicable to other types of NDDEs. © 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 28: 127‐137, 2012