1+1 spectral problems arising from the Manakov-Santini system

Details 1+1 spectral problems arising from the Manakov-Santini system 1+1 spectral problems arising from the Manakov-Santini system

2010-09-09

arxiv.org/abs/1009.1736v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

This paper deals with the spectral problem of the Manakov Santini system. The point Lie symmetries of the Lax pair have been identified. Several similarity reductions arise from these symmetries. An important benefit of our procedure is that the study of the Lax pair instead of the partial differential equations yields the reductions of the eigenfunctions and also the spectral parameter. Therefore, we have obtained five interesting spectral problems in 1+1 dimensions.

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