移植法精确求解广义变系数KP方程
이식법정학구해엄의변계수KP방정
A Transplantation Method Exactly Solving the Generalized Variable Coefficients KP Equation
  • 万方数据
    上饶师范学院学报 상요사범학원학보
    JOURNAL OF SHANGRAO TEACHERS COLLEGE
    2010年 3期 13-24 ,共12页

    毛杰健%黄先恺%杨建荣%庄玲

    모걸건%황선개%양건영%장령

    移植法%精确解%孤波解 移植法%精確解%孤波解
    이식법%정학해%고파해
    A transplantation method%exact solutions%solitary wave-like solution
    我们将(1+1) 维Korteweg-de Vries (KdV) 方程的解, 移植到含有5 个变系数的广义Kaolomtsev-Petviashvili (KP)方程,成功地获得了19 组KP 方程的精确解和类孤波解,讨论了类孤波解随时间和边界的变化情况.
    아문장(1+1) 유Korteweg-de Vries (KdV) 방정적해, 이식도함유5 개변계수적엄의Kaolomtsev-Petviashvili (KP)방정,성공지획득료19 조KP 방정적정학해화류고파해,토론료류고파해수시간화변계적변화정황.
    In this paper, we transplant the Jacobi elliptic function solutions of (1+1)-dimensional Korteweg-de Vries (KdV) equation to the generalized variable coefficients Kaolomtsev-Petviashvili (KP) system containing five variable coefficients, and successfully obtain nineteen groups of new exact solutions and solitary wave-like solutions about this KP equation. Then discuss the cases that the solitary wave-like solutions produce fraction and deformation with the change of time and boundary.
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