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- W2952188049 abstract "We present a numerical and theoretical study of the zero-dispersion limit of the focusing Zakharov-Shabat hierarchy, which includes NLS and mKdV flows as its second and third members. All the odd flows in the hierachy are shown to preserve real-valued data. We establish the zero-dispersion limit of all the nontrivial conserved densities and associated fluxes for these odd flows for a large class of real-valued initial data which includes all ``single hump'' initial data. In particular, it is done for the ``focusing'' mKdV flow. The method is based on the Lax-Levermore KdV strategy, but here it is carried out in the context of a nonselfadjoint spectral problem. We find that after an algebraic transformation the limiting dynamics of the mKdV equation is identical to that of the KdV equation." @default.
- W2952188049 created "2019-06-27" @default.
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- W2952188049 date "2003-02-03" @default.
- W2952188049 modified "2023-09-27" @default.
- W2952188049 title "The Zero-Dispersion Limit for the Odd Flows in the Focusing Zakharov-Shabat Hierarchy" @default.
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