关于推广的KdV方程的孤波解

ON SOLITARY WARE SOLUTIONS TO A GENERALIZED KdV EQNATION

修正了文献[5]中推广的KdV方程传播波解的形变理论,并提出了一个相关的代数方程有非零实根的充要条件,从而指出了文献[5]中的一个分析错误。最后直接从推广的KdV方程本身给出了由形变理论生成的孤波解的显式公式。

The deformation theory, in Ref [ 5 ],of travelling wave solutions to a generalized KdV equation is modified. The necessary and sufficient condition for a relevant algebraic equation to possess nonzero real root is presented and thus an error of analyses in Ref. [5] is pointe-dont. Finally an explicit formula of the solitary wave solutions generated by deformetion theory is obtained directly from the generalized KdV equation itselp.