An Extension of Nonlinear Evolution Equations of the K-dV (mK-dV) Type to Higher Orders
An Extension of Nonlinear Evolution Equations of the K-dV (mK-dV) Type to Higher Orders
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DOI：
10.1143/jpsj.49.771
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发表时间：
1980-08
影响因子：
1.7
通讯作者：
Masaaki Ito
中科院分区：
文献类型：
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作者：
Masaaki Ito
研究了非线性演化方程的高阶推广问题。包括：(i)不能由Sawada-Kotera方程的高阶守恒量的泛函导数导出的高阶Sawada-Kotera方程；（ii）高阶Sawada-Kotera方程的N -孤子解和逆散射形式；（iii）高阶修正K-dV方程的N孤子解、Backlund变换和逆散射形式；（iv）几个双线性方程的列表，其中一些被推测有3孤子解。
An extension of nonlinear evolution equations to higher orders is investigated. Included are (i) a higher order Sawada-Kotera equation which cannot be derived from the functional derivative of higher order conserved quantities of the Sawada-Kotera equation; (ii) N -soliton solution and the inverse scattering form for the higher order Sawada-Kotera equation; (iii) N -soliton solutions, the Backlund transformation and the inverse scattering form for higher order modified K-dV equations; (iv) a list of several bilinear equations some of which are conjectured to have 3-soliton solutions.