Open AccessTravelling wave solution of disturbed Vakhnenko equation for physical model
Author(s) -
Mo Jia-Qi
Publication year - 2011
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.60.090203
Subject(s) - traveling wave , sequence (biology) , nonlinear system , set (abstract data type) , mathematical analysis , wave equation , order (exchange) , mathematics , exact solutions in general relativity , physics , computer science , genetics , finance , quantum mechanics , economics , biology , programming language
A kind of disturbed Vakhnemko equation is considered. The modified asymptotic method is given. Firstly, we obtain corresponding traveling wave solution of the typical Vakhnemko equation. Secondly, introducing a functional, constructing the iteration expansion of solution, the nonlinear equation is converted into a set of iteration sequence. And then, the corresponding approximations of solution are solved successively. Finally, the approximate expansion for arbitrary order accuracy of the travelling wave solution for the original disturbed Vakhnemko model is obtained and its accuracy is discussed.