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تسجيل مستخدم جديدThe Role of the Korteweg-de Vries Hierarchy in the N-Soliton Dynamics of the Shallow Water Wave Equation
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We apply a multiple-time version of the reductive perturbation method to study long waves as governed by the shallow water wave model equation. As a consequence of the requirement of a secularity-free perturbation theory, we show that the well known N-soliton dynamics of the shallow water wave equation, in the particular case of $alpha=2 beta$, can be reduced to the N-soliton solution that satisfies simultaneously all equations of the Korteweg-de Vries hierarchy.
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87 -
R. A. Kraenkel
, M. A. Manna (Physique Mathematique et Theorique
, n URA-CNRS 768 Universite de Montpellier 34095 Montpellier CEDEX 05
1994
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