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中国物理学会期刊

非线性“loop”孤子方程的确定解

CSTR: 32037.14.aps.54.4186

Exact solution of the nonlinear “loop” soliton equation

CSTR: 32037.14.aps.54.4186
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  • 提出一种求解非线性“loop”孤子方程确定解的新方法,即以“行波”为因子,利用幂级数直接求解该方程解析函数U(ξ),用MatLab绘制c→光速和c→声速的U(ξ)-ξ图像,直 接观察该方程解的变化规律,找出该方程的确定解(含孤波解). 该方法为求解难度大的非 线性孤子方程提供借鉴.

     

    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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