Exact solution of the nonlinear “loop” soliton equation

Pu Li-Chun; Zhang Xue-Feng; Xu Li-Jun

doi:10.7498/aps.54.4186

Abstract
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.

Keywords:
nonlinear “loop” of the soliton equation /

exact solution /

MatLab picture
Authors and contacts
Pu Li-Chun,

Zhang Xue-Feng,

Xu Li-Jun

1.
攀枝花学院数理教学部，攀枝花 617000
References

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Vol. 54, Issue 9 - 2005-05-05

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Exact solution of the nonlinear “loop” soliton equation

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Exact solution of the nonlinear “loop” soliton equation

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