The deformation of the Whitham systems in the almost linear case

Details The deformation of the Whitham systems in the almost linear case The deformation of the Whitham systems in the almost linear case

2007-09-28

arxiv.org/abs/0709.4618v3

Providence, RI, Amer. Math. Soc. Transl., v. 224, ser. 2 (2008), 193-212.

Nonlinear Sciences

Exactly Solvable and Integrable Systems

24 pages

Scientific paper

We consider the deformation of the Whitham systems in the case when the initial system is close to linear one. It appears that the deformation procedure should be modified in this special case to make all the constructions stable in the linear limit. We suggest here the special deformation scheme which gives the stable deformation of the Whitham system for the almost linear initial systems.

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