A method for constructing exact solutions of nonlinear evolution equation with variable coefficients

作者：Taogetusang^*; Sirendaoerji

来源：Acta Physica Sinica, 2009, 58(4): 2121-2126.

• auxiliary equation
• function transformation
• nonlinear evolution equation with variable coefficients
• exact solution

A function transformation method for constructing exact solutions of the variable coefficient nonlinear evolution equations is proposed. The method together with the the second kind of elliptic equation and the symbolic computation system Mathematica is used to construct the new exact Jacobi elliptic function solutions, the degenerated soliton-like solutions and trigonometric function solutions of the composed KdV equation with forced variable coefficients.

• 出版日期2009-4
• 单位内蒙古师范大学