Open AccessExact solution of the nonlinear “loop” soliton equation
Author(s) -
蒲利春,
张雪峰,
徐丽君
Publication year - 2005
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.54.4186
Subject(s) - soliton , nonlinear system , exact solutions in general relativity , physics , characteristic equation , traveling wave , function (biology) , power (physics) , mathematical analysis , loop (graph theory) , mathematics , partial differential equation , quantum mechanics , combinatorics , evolutionary biology , biology
In this paper the author proposes a new method to solve the nonlinear “loop” soliton equation,that is,to directly find the solution of the analytic function U(ξ) of the equation by using the traveling wave parameter ξ and the power ser ies expansion, and to find the exact solution of the equation (including the sol itary wave solution) by directly observing the variation of the equation using M atLab to depict the functional relationship of U(ξ)-ξ for the cases of c→ligh t speed and c→sound speed.This method should be helpful in solving difficult no nlinear soliton equations.