A New Auto-Bäcklund Transformation and its Applications in Finding Explicit Exact Solutions for the General KdV Equation

نویسنده

  • Zhenya Yan
چکیده

In this paper, based on a Lax pair of the Riccati form for the general KdV equation, a new auto-Bäcklund transformation (ABT) is presented. As an application of this ABT, since only integration is needed, a series of explicit and exact solutions can be obtained which contain soliton-like solutions. This approach is important for finding more new and physically significant exact solutions of nonlinear evolution equations.

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تاریخ انتشار 2001