A Direct Approach to Multi-Periodic Wave Solutions to Nonlinear Evolution Equations
A Direct Approach to Multi-Periodic Wave Solutions to Nonlinear Evolution Equations
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DOI：
10.1143/jpsj.50.338
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发表时间：
1981-01
影响因子：
1.7
通讯作者：
R. Hirota;Masaaki Ito
中科院分区：
文献类型：
--
作者：
R. Hirota;Masaaki Ito
本文将中村提出的计算多周期波解的直接方法应用于Korteweg-de Vrics方程、户田方程、泽田-小寺方程和浅水波模型方程，得到了用Riemann θ函数表示的三周期波解。数值计算得到了决定波的特性的所有参数。
The direct method of calculating the multi-periodic wave solutions by Nakamura are applied to the following equations; the Korteweg-de Vrics equation, the Toda equation, the Sawada-Kotera equation and the model equation for shallow water waves, and are obtained three-periodic wave solutions expressed in terms of Riemann's θ-function. All parameters determining the characters of the wave are obtained numerically.