B?cklund transformation and solitonic solutions for a parametric coupled Korteweg-de Vries system

2nd International Conference on Mathematical Modeling in Physical Sciences 2013

物理学;数学

Vega, Luis Cortés^1 ; Restuccia, Alvaro^2 ; Sotomayor, Adrián^1

Departamento de Matemáticas, Universidad de Antofagasta, Antofagasta, Chile^1

Departamento de Física, Universidad de Antofagasta, Antofagasta, Chile^2

关键词: Backlund transformations;    Cklund transformation;    Coupled KdV system;    Decoupled equation;    Korteweg-de Vries;    Negative values;    Positive value;    Solitonic solutions;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/490/1/012024/pdf
DOI  :  10.1088/1742-6596/490/1/012024

来源: IOP

【 摘 要 】

We analize a parametric coupled KdV system and we find a Backlund transformation. For a positive value of the parameter the system reduces to two KdV decoupled equations. For negative value of the parameter the system has non trivial coupling and presents multisolitonic solutions generated by the Backlund transformation. We compare the results with the already known in the literature.