ABOUT EXPANSION OF NUMBER OF MODELS WHICH HAVE PAIRS OF LAX'S

Elena K. Vdovina, Konstantin Alexandrovich Volosov

Abstract


Let's consider the generalized  KdV equations, when the pairs of Lax's is not under construction directly.  In this  problem we want to find such variables in which it is possible to construct the exact solutions and pairs of Lax's the equation connected with the initial.  Possibility of research asymptotic properties of initial model opens using the theory of inverse scattering problem. The constructed new nonlinear equations don't enter into hierarchy of the  equations of type of KdV and earlier other authors weren't considered.

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