Riccati-type Bcklund transformations of nonisospectral and generalized variable-coefficient KdV equations

2014中国物理B：英文版Physics and Astronomy被引 1

摘要

We extend the method of constructing Bcklund transformations for integrable equations through Riccati equations to the nonisospectral and the variable-coefficient equations. By taking nonisospectral and generalized variable-coefficient Korteweg–de Vries(KdV) equations as examples, their B¨acklund transformations are obtained under a more generalized constrain condition. In addition, the Lax pairs and infinite numbers of conservation laws of these equations are given. Especially, some classical equations such as the cylindrical KdV equation are just the special cases of the constrain condition.

引用本文（GB/T 7714）

杨云青, 王云虎, 李昕, 等. Riccati-type Bcklund transformations of nonisospectral and generalized variable-coefficient KdV equations[J]. 中国物理B：英文版, 2014.

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