NEW EXACT SOLUTIONS OF THE KAUP-KUPERSHMIDT EQUATION RELATED TO A NON-LOCAL SYMMETRY

HAN PING; LOU SEN-YUE

doi:10.7498/aps.46.1249

Abstract
Using a non-local symmetry of the Kaup-Kupershmidt (KK) equation, we find a new exact solution in two different ways. Firstly, using the standard prolongation approach, we obtain the finite Lie B?cklund transformation and the single soliton solution of the KK equation. Secondly,combining some local symmetries and the nonlocal symmetry, we get the group invariant solution and obtain the new soliton solution of the KK equation.
Authors and contacts
HAN PING²,

LOU SEN-YUE¹

(1)宁波师范学院物理系;中国科学院理论物理研究所; (2)舟山师范专科学校物理系
References

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Vol. 46, Issue 7 - 1997-04-05

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NEW EXACT SOLUTIONS OF THE KAUP-KUPERSHMIDT EQUATION RELATED TO A NON-LOCAL SYMMETRY

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