1999•Acta Physica Sinica (Overseas Edition)Open access

New bäcklund transformation and exact solutions for variable coefficient KdV equation

Yan Zhen-ya, Hongqing Zhang

Abstract

In this paper, with the aid of Lax pairs, a new Bäcklund transformation for the variable coefficient KdV equation is found. Based on the Bäcklund transformation, only if integration is needed, a series of exact solutions can be obtained. This method is important for finding more new and physical-signficant solutions.

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Available abstract

Key concepts: Korteweg–de Vries equation, Transformation (genetics), Variable coefficient, Variable (mathematics), Series (stratigraphy), Applied mathematics, Mathematics, Mathematical analysis