扩展korteweg-de vries方程的可积系统

D. Fofana
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引用次数: 0

摘要

对于两个非线性方程组,给出了允许Lax表示的精确解。给出了一类特殊形式的四阶算子散射数据的动力学性质,并证明了该系统具有一组可数的一阶积分。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
AN INTEGRABLE SYSTEM EXTENDING THE KORTEWEG-DE VRIES EQUATION
Some exact solutions are found for a system of two nonlinear equations admitting a Lax representation. The dynamics of the scattering data of a fourth-order operator of a special form is indicated, and the system is shown to possess a countable set of first integrals.
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