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Some exact solutions for Toda type lattice differential equations using the improved (G′/G)‐expansion method
Author(s) -
Aslan İsmail
Publication year - 2012
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1579
Subject(s) - toda lattice , mathematics , lattice (music) , differential equation , nonlinear system , traveling wave , mathematical analysis , type (biology) , physics , integrable system , ecology , quantum mechanics , acoustics , biology
Nonlinear lattice differential equations (also known as differential‐difference equations) appear in many applications. They can be thought of as hybrid systems for the inclusion of both discrete and continuous variables. On the basis of an improved version of the basic (G′/G)‐expansion method, we focus our attention towards some Toda type lattice differential systems for constructing further exact traveling wave solutions. Our method provides not only solitary and periodic wave profiles but also rational solutions with more arbitrary parameters. Copyright © 2012 John Wiley & Sons, Ltd.