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中国物理学会期刊

三类非线性演化方程新的Jacobi椭圆函数精确解

CSTR: 32037.14.aps.57.3312

Some new exact Jacobian elliptic function solutions of three kinds of nonlinear evolution equations

CSTR: 32037.14.aps.57.3312
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  • 应用修正影射法分别求解三类非线性演化方程,即非线性Klein-Gordon方程,mKdV方程和广义Boussinesq方程,得到了一些新的Jacobi椭圆函数展开解,包括Jacobi椭圆函数解、混合Jacobi椭圆函数解、孤子解和三角函数解.

     

    By using the modified mapping method, we find some new exact solutions of the nonlinear Klein-Gordon equation, mKdV equation and the generalized Boussinesq equation. The solutions obtained in this paper include Jacobian elliptic function solutions, combined Jacobian elliptic function solutions, soliton-like solutions and triangular function solutions.

     

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