CAJ | 학술논문

利用基于 WTC 方法的 Kruskal 简化法判别了一类特殊的非线性耦合Jaulent-Miodek 方程在三种情形下具有 Painlevé可积性，一种情形下不具有 Painlevé可积性。尽管Jaulent-Miodek 方程在一种情形下不具有 Painlevé可积性，仍可以通过推广的 Painlevé标准截断展开和 Painlevé非标准截断展开方法求得非线性耦合 Jaulent-Miodek 方程行波形式的精确解。
이용기우 WTC 방법적 Kruskal 간화법판별료일류특수적비선성우합Jaulent-Miodek 방정재삼충정형하구유 Painlevé가적성，일충정형하불구유 Painlevé가적성。진관Jaulent-Miodek 방정재일충정형하불구유 Painlevé가적성，잉가이통과추엄적 Painlevé표준절단전개화 Painlevé비표준절단전개방법구득비선성우합 Jaulent-Miodek 방정행파형식적정학해。
The Painlevéintegrability of a special coupled Jaulent-Miodek equation was studied by using the Kruskal’s simplification of WTC method.The following conclusion was obtained:the Jaulent-Miodek equation is of Painlevé integrability in three cases,and is of no Painlevé integrability in one case.Even though in that case,the equation is of no Painlevéintegrability,new exact solutions of the coupled Jaulent-Miodek equation can be constructed by using the Painlevé standard and nonstandard truncation expansion.