Open AccessApproximate method of solving solitary-like wave for a class of nonlinear equation
Author(s) -
Linjun Shi,
Lin Wan-Tao,
Lin Yi-Hua,
Mo Jia-Qi
Publication year - 2013
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.62.010201
Subject(s) - simple (philosophy) , class (philosophy) , series (stratigraphy) , nonlinear system , differential equation , mathematical analysis , partial differential equation , mathematics , convergent series , physics , computer science , power series , paleontology , quantum mechanics , artificial intelligence , philosophy , epistemology , biology
The approximate solitary-like wave solution for a class of disturbed evolution equation is considered using a simple and valid technique. First, an approximate solution of a corresponding typical differential equation is introduced, and then the approximate solution for an original disturbed evolution equation is obtained using the functional mapping method. It is pointed out that the series of approximate solution is convergent. The accuracy of the approximate solution is also discussed using the analytic method.