Solving the KdV hierarchy with self-consistent sources by inverse scattering method

Runliang Lin, Yunbo Zeng and Wen-Xiu Ma

Physica A: Statistical Mechanics and its Applications, 2001, vol. 291, issue 1, 287-298

Abstract: The evolution of the eigenfunctions in the Lax representation of the KdV hierarchy with self-consistent sources possesses singularity. By proposing a method to treat the singularity to determine the evolution of scattering data, the KdV hierarchy with self-consistent sources is integrated by the inverse scattering method. The soliton solutions of these equations are obtained. It is shown that the insertion of a source may cause the variation of the speed of soliton. This approach can be applied to other (1+1)-dimensional soliton hierarchies.

Keywords: KdV hierarchy with self-consistent sources; Inverse scattering method; Lax representation (search for similar items in EconPapers)
Date: 2001
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:291:y:2001:i:1:p:287-298

DOI: 10.1016/S0378-4371(00)00519-7

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