Open AccessAnalytic approximation for the soliton solution of the discrete modified KdV equation
Author(s) -
Peng Yang,
Yong Chen,
Zhibin Li
Publication year - 2010
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.59.3668
Subject(s) - korteweg–de vries equation , homotopy analysis method , soliton , exponential function , nonlinear system , homotopy , mathematics , series (stratigraphy) , exact solutions in general relativity , physics , mathematical analysis , pure mathematics , quantum mechanics , paleontology , biology
We extend the homotopy analysis method to solving the discrete modified KdV equation. The bright soliton solution expressed by a series of exponential functions is obtained, which agrees well with the exact solution. It indicates the validity and great potential of the homotopy analysis method in solving complicated nonlinear problems.