Exact solution of the nonlinear “loop” soliton equation | Zendy

Lichun Pu | Zendy; Zhang Xue-Feng | Zendy; Lijun Xu | Zendy

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Exact solution of the nonlinear “loop” soliton equation

Author(s) -

Lichun Pu,

Zhang Xue-Feng,

Lijun Xu

Publication year - 2005

Publication title -

acta physica sinica

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.

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